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any $s\in S$ represents an authenticated active entity which potentially executes operations on objects \item any $o\in O$ represents an authenticated passive entity on which operations are executed \item for any $s\in S$,$o\in O$,$op\in OP$:s is allowed to execute $op$ on $o$ iff $f(s,o,op)=true$. - \item Model making: finding a $tuple⟨S,O,OP,f⟩$ + \item Model making: finding a $tuple\langle S,O,OP,f\rangle$ \end{itemize*} \end{itemize*} @@ -826,7 +826,7 @@ Privilege escalation question: "Can it ever happen that in a given state, some specific subject obtains a specific permission?" $\varnothing \Rightarrow \{r,w\}$ \begin{itemize*} - \item ACM models a single state ⟨S,O,OP,m⟩ + \item ACM models a single state $\langle S,O,OP,m\rangle$ \item ACM does not tell anything about what might happen in future \item Behavior prediction $\rightarrow$ proliferation of rights $\rightarrow$ HRU safety \end{itemize*} @@ -866,7 +866,7 @@ \item Analyses of right proliferation ($\rightarrow$ privilege escalation) are enabled by state reachability analysis methods \end{itemize*} - An HRU model is a deterministic automaton $⟨Q,\sum,\delta,q_0 ,R⟩$ where + An HRU model is a deterministic automaton $\langle Q,\sum,\delta,q_0 ,R\rangle$ where \begin{itemize*} \item $Q= 2^S\times 2^O\times M$ is the state space where \begin{itemize*} @@ -895,7 +895,7 @@ \item State transitions modeled by $\delta$ based on \begin{itemize*} \item the current automaton state - \item an input word $⟨op,(x_1,...,x_k)⟩\in\sum$ where $op$ + \item an input word $\langle op,(x_1,...,x_k)\rangle \in\sum$ where $op$ \item may modify $S_q$ (create a user $x_i$), \item may modify $O_q$ (create/delete a file $x_i$), \item may modify the contents of a matrix cell $m_q(x_i,x_j)$ (enter or remove rights) where $1\leq i,j\leq k$. @@ -906,7 +906,7 @@ \paragraph{State Transition Scheme (STS)} Using the STS, $\sigma:Q\times\sum\rightarrow Q$ is defined by a set of specifications in the normalized form - $\sigma(q,⟨op,(x_1,...,x_k)⟩)$=if $r_1\in m_q(x_{s1},x_{o1}) \wedge ... \wedge r_m\in m_q(x_{sm},x_{om})$ then $p_1\circ ...\circ p_n$ where + $\sigma(q,\langle op,(x_1,...,x_k)\rangle )$=if $r_1\in m_q(x_{s1},x_{o1}) \wedge ... \wedge r_m\in m_q(x_{sm},x_{om})$ then $p_1\circ ...\circ p_n$ where \begin{itemize*} \item $q=\{S_q,O_q,m_q\}\in Q,op\in OP$ \item $r_1 ...r_m\in R$ @@ -917,7 +917,7 @@ Conditions: Expressions that need to evaluate "true" for state q as a necessary precondition for command $op$ to be executable (= can be successfully called). - Primitives: Short, formal macros that describe differences between $q$ and $a$ successor state $q'=\sigma(q,⟨op,(x_1 ,...,x_k)⟩)$ that result from a complete execution of op: + Primitives: Short, formal macros that describe differences between $q$ and $a$ successor state $q'=\sigma(q,\langle op,(x_1 ,...,x_k)\rangle )$ that result from a complete execution of op: \begin{itemize*} \item enter r into $m(x_s,x_o)$ \item delete r from $m(x_s,x_o)$ @@ -934,7 +934,7 @@ \begin{enumerate*} \item Model Sets: Subjects, objects, operations, rights $\rightarrow$ define the basic sets $S,O,OP,R$ \item STS: Semantics of operations (e. g. the future API of the system to model) that modify the protection state $\rightarrow$ define $\sigma$ using the normalized form/programming syntax of the STS - \item Initialization: Define a well-known initial stateq $0 =⟨S_0 ,O_0 ,m_0 ⟩$ of the system to model + \item Initialization: Define a well-known initial stateq $0 =\langle S_0 ,O_0 ,m_0 \rangle$ of the system to model \end{enumerate*} 1. Model Sets @@ -968,7 +968,7 @@ \end{lstlisting} 3. Initialization \begin{itemize*} - \item By model definition: $q_0 =⟨S_0 ,O_0 ,m_0 ⟩$ + \item By model definition: $q_0 =\langle S_0 ,O_0 ,m_0 \rangle$ \item For a course with (initially) three students: \begin{itemize*} \item $S_0 =\{sAnn, sBob, sChris\}$ @@ -1041,7 +1041,7 @@ According to Tripunitara and Li, simple-safety is defined as: - \note{HRU Safety}{For a state $q=\{S_q,O_q,m_q\}\in Q$ and a right $r\in R$ of an HRU model $⟨Q,\sum,\delta,q_0,R⟩$, the predicate $safe(q,r)$ holds iff + \note{HRU Safety}{For a state $q=\{S_q,O_q,m_q\}\in Q$ and a right $r\in R$ of an HRU model $\langle Q,\sum,\delta,q_0,R\rangle$, the predicate $safe(q,r)$ holds iff $\forall q'= S_{q'},O_{q'},m_{q'} \in \{\delta^*(q,\sigma^*)|\sigma^*\in\sum^*\},\forall s\in S_{q'},\forall o\in O_{q'}: r\in m_{q'}(s,o)\Rightarrow s\in S_q \wedge o\in O_q \wedge r\in m_q(s,o)$. We say that an HRU model is safe w.r.t. r iff $safe(q_0 ,r)$.} @@ -1127,7 +1127,7 @@ enter r1 into $m(x7,x5);$ & - \end{tabular} - Conclusions from these Theorems: Dilemma: + Conclusions from these Theorems (Dilemma) \begin{itemize*} \item General (unrestricted) HRU models \begin{itemize*} @@ -1144,6 +1144,7 @@ \end{itemize*} \paragraph{(A) Restricted Model Variants} + Static HRU Models \begin{itemize*} \item Static: no create primitives allowed @@ -1154,9 +1155,9 @@ Monotonous Mono-conditional HRU Models \begin{itemize*} \item Monotonous (MHRU): no delete or destroy primitives - \item Mono-conditional: at most one clause in conditions part (For monotonous bi-conditional models, safety is already undecidable ...) + \item Mono-conditional: at most one clause in conditions part \item safe(q,r) efficiently decidable - \item Applications: Archiving/logging systems (where nothing is ever deleted) + \item Applications: Archiving/logging systems (nothing is ever deleted) \end{itemize*} Finite Subject Set @@ -1167,63 +1168,58 @@ Fixed STS \begin{itemize*} - \item All STS commands are fixed, match particular application domain (e.g. OS access control [Lipton and Snyder, 1977]) $\rightarrow$ no model reusability - \item For Lipton and Snyder [1977]: $safe(q,r)$ decidable in linear time (!) + \item All STS commands are fixed, match particular application domain (e.g. OS access control) $\rightarrow$ no model reusability + \item For Lipton and Snyder [1977]: $safe(q,r)$ decidable in linear time \end{itemize*} Strong Type System \begin{itemize*} - \item Special model that generalizes HRU: Typed Access Matrix (TAM) [Sandhu, 1992] + \item Special model to generalize HRU: Typed Access Matrix (TAM) \item $safe(q,r)$ decidable in polynomial time for ternary, acyclic, monotonous variants \item high, though not unrestricted expressiveness in practice \end{itemize*} \paragraph{(B) Heuristic Analysis Methods} - Motivation: \begin{itemize*} - \item Restricted model variants: often too weak for real-world applications - \item General HRU models: safety property cannot be guaranteed $\rightarrow$ Let’s try to get a piece from both cakes: Heuristically guided safety estimation [Amthor et al., 2013] + \item Restricted model variants often too weak for real-world apps + \item General HRU models: safety property cannot be guaranteed + \item $\rightarrow$ get a piece from both: Heuristically guided safety estimation \end{itemize*} Idea: \begin{itemize*} \item State-space exploration by model simulation - \item Task of heuristic: generating input sequences ("educated guessing") + \item Task of heuristic: generating input sequences (,,educated guessing'') \end{itemize*} Outline: Two-phase-algorithm to analyze $safe(q_0,r)$: - 1. Static phase: Infer knowledge from the model that helps heuristic to make "good" decisions. - \begin{itemize*} - \item $\rightarrow$ Runtime: polynomial in model size ($q_0 + STS$) - 2. Simulation phase: The automaton is implemented and, starting with $q_0$, fed with inputs $\sigma=⟨op,x⟩$ + \begin{enumerate*} + + \item Static phase: knowledge from model to make "good" decisions + \begin{itemize*} + \item $\rightarrow$ Runtime: polynomial in model size ($q_0 + STS$) + \end{itemize*} + \item Simulation phase: The automaton is implemented and, starting with $q_0$, fed with inputs $\sigma=$ \begin{itemize*} \item $\rightarrow$ For each $\sigma$, the heuristic has to decide: - \begin{itemize*} - \item which operation op to use - \item which vector of arguments x to pass - \item which $q_i$ to use from the states in $Q$ known so far - \end{itemize*} + \item which operation $op$ to use + \item which vector of arguments $x$ to pass + \item which $q_i$ to use from the states in $Q$ known so far \item Termination: As soon as $\sigma(q_i,\sigma)$ violates $safe(q_0,r)$. \end{itemize*} + \end{enumerate*} + + Goal: Iteratively build up the $Q$ for a model to falsify safety by example (finding a violating but possible protection state). + + \begin{itemize*} + \item Termination: only a semi-decidable problem here. It can be guaranteed that a model is unsafe if we terminate. We cannot ever prove the opposite $\rightarrow$ safety undecidability + \item Performance: Model size 10 000 000 $\approx 417$s \end{itemize*} - Goal: Iteratively build up the (possibly infinite!) $Q$ for a model to falsify safety by example (finding a violating, but possible protection state). - - Results: + Achievements \begin{itemize*} - \item Termination: Well ... we only have a semi-decidable problem here: It can be guaranteed that a model is unsafe if we terminate. We cannot ever prove the opposite, however! ($\rightarrow$ safety undecidability) - \item Performance: A few results - \begin{itemize*} - \item 2013:Model size 10 000 $\approx 2215$ s - \item 2018:Model size 10 000 $\approx 0,36$ s - \item 2018:Model size 10 000 000 $\approx 417$ s - \end{itemize*} - \end{itemize*} - - Achievements: - \begin{itemize*} - \item Find typical errors in security policies: Guide their designers, who might know there’s something wrong w. r. t. right proliferation, but not what and why! - \item Increase our understanding of unsafety origins: By building clever heuristics, we started to understand how we might design specialized HRU models ($\rightarrow$ fixed STS, type system) that are safety-decidable yet practically (re-) usable [Amthor and Rabe, 2020]. + \item Find typical errors in security policies: Guide designers, who might know there’s something wrong w. r. t. right proliferation, but not what and why! + \item Increase our understanding of unsafety origins: By building clever heuristics, we started to understand how we might design specialized HRU models ($\rightarrow$ fixed STS, type system) that are safety-decidable yet practically (re-) usable \end{itemize*} \paragraph{Summary HRU Models} @@ -1241,33 +1237,32 @@ Conclusions \begin{itemize*} - \item Potential right proliferation (privilege escalation): Generally undecidable problem - \item $\rightarrow$ HRUmodel family, consisting of application-tailored, safety-decidable variants - \item $\rightarrow$ Heuristic analysis methods for practical error-finding + \item Potential right proliferation: Generally undecidable problem + \item $\rightarrow$ HRU model family, consisting of application-tailored, safety-decidable variants + \item $\rightarrow$ Heuristic analysis methods for practical error-finding \end{itemize*} \paragraph{The Typed-Access-Matrix Model (TAM)} - Goal \begin{itemize*} \item AC model, similar expressiveness to HRU - \item $\rightarrow$ can be directly mapped to implementations of an ACM: OS ACLs, DB permission assignment tables + \item $\rightarrow$ directly mapped to implementations of an ACM (DB table) \item Better suited for safety analyses: precisely statemodel properties for decidable safety \end{itemize*} - Idea [Sandhu, 1992] + Idea \begin{itemize*} \item Adopted from HRU: subjects, objects, ACM, automaton - \item New:leverage the principle of strong typing known from programming + \item New: leverage the principle of strong typing (like programming) \item $\rightarrow$ safety decidability properties relate to type-based restrictions \end{itemize*} How it Works: \begin{itemize*} - \item Foundation of a TAM model is an HRU model $⟨Q,\sum,\delta,q_0 ,R⟩$, where $Q= 2^S\times 2^O\times M$ + \item Foundation of a TAM model is an HRU model $\langle Q,\sum,\delta,q_0 ,R\rangle$, where $Q= 2^S\times 2^O\times M$ \item However: $S\subseteq O$, i. e.: \begin{itemize*} \item all subjects can also act as objects (=targets of an access) - \item $\rightarrow$ useful for modeling e. g. delegation ("s has the right to grant s' her read-right") + \item useful for modeling e.g. delegation \item objects in $O\backslash S$: pure objects \end{itemize*} \item Each $o\in O$ has a type from a type set $T$ assigned through a mapping $type:O\rightarrow T$ @@ -1278,7 +1273,7 @@ \end{itemize*} \end{itemize*} - \note{TAM Security Model}{A TAM model is a deterministic automaton $⟨Q,\sum,\delta,q_0 ,T,R⟩$ where + \note{TAM Security Model}{A TAM model is a deterministic automaton $\langle Q,\sum,\delta,q_0 ,T,R\rangle$ where \begin{itemize*} \item $Q= 2^S\times 2^O\times TYPE\times M$ is the state space where $S$ and $O$ are subjects set and objects set as in HRU, where $S\subseteq O$, $TYPE=\{type|type:O\rightarrow T\}$ is a set of possible type functions, $M$ is the set of possible $ACMs$ as in HRU, \item $\sum=OP\times X$ is the (finite) input alphabet where $OP$ is a set of operations as in HRU, $X=O^k$ is a set of $k$-dimensional vectors of arguments (objects) of these operations, @@ -1291,7 +1286,7 @@ State Transition Scheme (STS) $\delta:Q\times\sum\rightarrow Q$ is defined by a set of specifications: - %![](Assets/Systemsicherheit-tam-sts.png) + \includegraphics[width=\linewidth]{Assets/Systemsicherheit-tam-sts.png} where \begin{itemize*} \item $q= (S_q,O_q,type_q,m_q)\in Q,op\in OP$ @@ -1301,8 +1296,8 @@ \end{itemize*} Convenience Notation where + \includegraphics[width=.5\linewidth]{Assets/Systemsicherheit-tam-sts-convenience.png} \begin{itemize*} - \item %![](Assets/Systemsicherheit-tam-sts-convenience.png) \item $q\in Q$ is implicit \item $op,r_1 ,...,r_m,s_1 ,...,s_m,o_1 ,...,o_m$ as before \item $t_1 ,...,t_k$ are argument types @@ -1310,9 +1305,9 @@ \end{itemize*} TAM-specific + \includegraphics[width=.5\linewidth]{Assets/Systemsicherheit-tam-sts-specific.png} \begin{itemize*} \item Implicit Add-on:Type Checking - \item %![](Assets/Systemsicherheit-tam-sts-specific.png) \item where $t_i$ are the types of the arguments $x_i, 1\leq i\leq k$. \end{itemize*} @@ -1332,380 +1327,150 @@ TAM Example: The ORCON Policy \begin{itemize*} - \item Example Scenario: Originator Controlled Access Rights (ORCON Policy) - \item Goal: To illustrate usefulness/convenience of type system - \begin{itemize*} - \item ORCON describes sub-problem of larger policies - \item Information flow confinement required by ORCON is tricky to do in HRU ("This information may not flow beyond ...") - \end{itemize*} - \item The Problem - \begin{itemize*} - \item Creator/owner of a document shouldpermanently retain controlover its accesses - \item Neither direct nor indirect (by copying) right proliferation - \item Application scenarios: Digital rights management, confidential sharing (online social networks!) - \item %![](Assets/Systemsicherheit-orcon-problem.png) - \end{itemize*} - \item Solution with TAM - \begin{itemize*} - \item Idea: A confined subject type that can never execute any operation other than reading - \item Model Initialization: - \begin{itemize*} - \item Subjects: $S_0=\{ann,bob,chris\}$ - \item Objects: $O_0 =S_0\cup\{projectX\}$ - \item Operations: $\rightarrow$ next ... - \item Rights: $R=\{read,write,cread,own,parent\}$ - \item Types: $T=\{s,cs,co\}$ (regular subject,confined subject/object) - \item $type_0$: - \begin{itemize*} - \item $type_0(ann)=s$ - \item $type_0(bob)=s$ - \item $type_0(projectX)=co$ - \end{itemize*} - \end{itemize*} - \end{itemize*} - \item Model Behavior (Example) - \begin{itemize*} - \item ann creates ORCON object projectX (STS command createOrconObject) - \item ann grants cread ("confined read") right for projectX to bob (STS command grantCRead) - \item bob uses cread to create confined subject chris with permission to read projectX (STS command useCRead) - \end{itemize*} + \item Creator/owner of a document should permanently retain controlover its accesses + \item Neither direct nor indirect (by copying) right proliferation + \item Application scenarios: Digital rights management, confidential sharing + \item Solution with TAM: A confined subject type that can never execute any operation other than reading \end{itemize*} - \begin{tabular}{l|l|l|l|l} - m & ann:s & bob:s & projectX:co & chris:cs \\\hline - ann:s & $\varnothing$ & $\varnothing$ & $\{own, read, write\}$ & $\varnothing$ \\ - bob:s & $\varnothing$ & $\varnothing$ & $\{cread\}$ & $\{parent\}$ \\ - chris:cs & $\varnothing$ & $\varnothing$ & $\{read\}$ & $\varnothing$ - \end{tabular} - Model Behavior (STS): The State Transition Scheme \begin{itemize*} - \item createOrconObject - \begin{lstlisting}[ - language=Bash, - showspaces=false - ] - command createOrconObject(s_1:s, o_1:co) ::= - if true - then - create object o_1 of type co; - enter own into m(s_1 ,o_1); - enter read into m(s_1 ,o_1); - enter write into m(s_1 ,o_1); - fi - \end{lstlisting} - - \item grantCRead - \begin{lstlisting}[ - language=Bash, - showspaces=false - ] - command grantCRead(s 1 :s,s 2 :s,o 1 :co) ::= - if own in m(s_1 ,o_1) - then - enter cread into m(s_2 ,o_1); - fi - \end{lstlisting} - - \item useCRead - \begin{lstlisting}[ - language=Bash, - showspaces=false - ] - command useCRead(s_1:s, o_1:co, s_2:cs) ::= - if cread in m(s_1 ,o_1) - then - create subject s_2 of type cs; - enter parent into m(s_1 ,s_2); - enter readinto m(s_2 ,o_1); - fi - \end{lstlisting} - - \item Enable ann to revoke cread from bob: - \begin{lstlisting}[ - language=Bash, - showspaces=false - ] - command revokeCRead(s_1:s, s_2:s, o_1:co) ::= - if own in m(s_1, o_1) - then - delete cread from m(s_2, o_1); - fi - \end{lstlisting} - \item Enable ann to destroy conf. object projectX: - \begin{lstlisting}[ - language=Bash, - showspaces=false - ] - command destroyOrconObject(s_1:s, o_1:co) ::= - if own in m(s_1 ,o_1) - then - destroy object o_1; - fi - \end{lstlisting} - \item Enable ann to destroy conf. subject chris: - \begin{lstlisting}[ - language=Bash, - showspaces=false - ] - command revokeRead(s_1:s, s_2:cs, o_1:co) ::= - if own in m(s_1 ,o_1) and read in m(s_2 ,o_1) - then - destroy subject s_2; - fi - \end{lstlisting} - \item Enable bob to destroy conf. subject chris: - \begin{lstlisting}[ - language=Bash, - showspaces=false - ] - command finishOrconRead(s_1:s, s_2:cs) ::= - if parent in m(s_1, s_2) - then - destroy subject s_2; - fi - \end{lstlisting} + \item $createOrconObject(s_1:s, o_1:co)$ + \item $grantCRead(s 1 :s,s 2 :s,o 1 :co)$ + \item $useCRead(s_1:s, o_1:co, s_2:cs)$ + \item $revokeCRead(s_1:s, s_2:s, o_1:co)$ + \item $destroyOrconObject(s_1:s, o_1:co)$ (destroy conf. object) + \item $revokeRead(s_1:s, s_2:cs, o_1:co)$ (destroy conf. subject) + \item $finishOrconRead(s_1:s, s_2:cs)$ (destroy conf. subject) \end{itemize*} \begin{itemize*} - \item Commands 1.-3.: - \begin{itemize*} - \item Authorize the steps in the example above - \item Are monotonic - \end{itemize*} - \item Commands 4.-7.: - \begin{itemize*} - \item Will control right revocation $\rightarrow$ essence of originator control - \item Are not monotonic (consequences ...) - \end{itemize*} - \item Summary - \begin{itemize*} - \item Contributions of ORCON Example - \item Owner ("originator") retains full control over - \item Use of her confined objects by third parties $\rightarrow$ transitive right revocation - \item Subjects using (or misusing) these objects $\rightarrow$ destruction of these subjects - \item Subjects using such objects are confined: cannot forward read information - \end{itemize*} + \item Owner retains full control over + \item Use of her confined objects by third parties $\rightarrow$ transitive right revocation + \item Subjects using these objects $\rightarrow$ destruction of these subjects + \item Subjects using such objects are confined: cannot forward read information \end{itemize*} \paragraph{TAM Safety Decidability} - Why all this? \begin{itemize*} - \item General TAM models (cf. previous definition) $\rightarrow$ safety not decidable (no surprise, since generalization of HRU) - \item MTAM:monotonous TAM models; STS without delete or destroy primitives $\rightarrow$ safety decidable if mono-conditional only - \item AMTAM:acyclic MTAM models $\rightarrow$ safety decidable, but (most likely) not efficiently: NP-hardproblem - \item TAMTAM: ternaryAMTAM models; each STS command requires max. 3 arguments $\rightarrow$ provably same computational power and thus expressive power as AMTAM; safety decidable in polynomial time + \item General TAM models $\rightarrow$ safety not decidable + \item MTAM: monotonous TAM models; STS without delete or destroy primitives $\rightarrow$ safety decidable if mono-conditional only + \item AMTAM: acyclic MTAM models $\rightarrow$ safety decidable but not efficiently (NP-hard problem) + \item TAMTAM: ternary AMTAM models; each STS command requires max. 3 arguments $\rightarrow$ provably same computational power and thus expressive power as AMTAM; safety decidable in polynomial time \end{itemize*} \paragraph{Acyclic TAM Models} - Auxiliary analysis tools for TAM models: + Auxiliary analysis tools: - \note{Parent- and Child-Types}{For any operation $op$ with arguments $⟨x_1,t_1⟩,⟨x_2,t_2⟩,...,⟨x_k,t_k⟩$ in an STS of a TAM model, it holds that $t_i, 1\leq i\leq k$ + \note{Parent- and Child-Types}{For any operation $op$ with arguments $\langle x_1,t_1\rangle ,...,\langle x_k,t_k\rangle$ in an STS of a TAM model, it holds that $t_i, 1\leq i\leq k$ \begin{itemize*} \item is a child type in op if one of its primitives creates a subject or object $x_i$ of type $t_i$, \item is a parent type in op if none of its primitives creates a subject or object $x_i$ of type $t_i$. \end{itemize*} } - \note{Type Creation Graph}{The type creation graph $TCG=⟨T,E=T\times T⟩$ for the STS of a TAM model is a directed graph with vertex set $T$ and an $edge⟨u,v⟩\in E$ iff $\exists op\in OP:u$ is a parent type in $op\wedge v$ is a child type in op.} + \note{Type Creation Graph}{The type creation graph $TCG=\langle T,E=T\times T\rangle$ for the STS of a TAM model is a directed graph with vertex set $T$ and an $edge\langle u,v\rangle \in E$ iff $\exists op\in OP:u$ is a parent type in $op\wedge v$ is a child type in op.} - Example STS: - \begin{lstlisting}[ - language=Bash, - showspaces=false - ] - command foo(s_1:u, o_1:w, o_2:v) ::= - if r_1 $\in$ m(s_1 ,o_1) - then - create object o_2 of type v; - fi - - command bar(s_1:u, s_2:u, s_3:v, o_1:w) ::= - if r_2 $\in$ m(s_1 ,o_1) - then - create subject s_2 of type u; - create subject s_3 of type v; - fi - \end{lstlisting} - %![TCG](Assets/Systemsicherheit-acyclic-tam-example.png) + \includegraphics[width=.5\linewidth]{Assets/Systemsicherheit-acyclic-tam-example.png} - Note:In bar,u is both a parent type (because of $s_1$) and a child type (because of $s_2$) $\rightarrow$ hence the loop edge. + Note: In bar,u is both a parent type (because of $s_1$) and a child type (because of $s_2$) $\rightarrow$ hence the loop edge. Safety Decidability: We call a TAM model acyclic, iff its TCG is acyclic. - \note{Theorem [Sandhu, 1992, Theorem 5]}{Safety of a ternary, acyclic, monotonous TAM model (TAMTAM) is decidable in polynomial time in the size of $m_0$.} + \note{Theorem 5}{Safety of a ternary, acyclic, monotonous TAM model (TAMTAM) is decidable in polynomial time in the size of $m_0$.} + Crucial property acyclic, intuitively: \begin{itemize*} - \item Crucial property acyclic, intuitively: - \begin{itemize*} - \item Evolution of the system (protection state transitions) checks both rights in the ACMas well as argument types - \item TCG is acyclic $\Rightarrow\exists$ a finite sequence of possible state transitions after which no input tuple with argument types, that were not already considered before, can be found - \item One may prove that an algorithm, which tries to expandall possible different follow-up states from $q_0$, may terminate after this finite sequence - \item Proof details: SeeSandhu [1992]. - \end{itemize*} + \item Evolution of the system (protection state transitions) checks both rights in the ACM as well as argument types + \item TCG is acyclic $\Rightarrow\exists$ a finite sequence of possible state transitions after which no input tuple with argument types, that were not already considered before, can be found + \item One may prove that an algorithm, which tries to expandall possible different follow-up states from $q_0$, may terminate after this finite sequence \end{itemize*} Expressive Power of TAMTAM \begin{itemize*} - \item MTAM: obviously same expressive power as monotonic HRU (MHRU) $\rightarrow$ cannot model: + \item MTAM: obviously same expressive power as monotonic HRU \begin{itemize*} - \item transfer of rights: "take r from ... and in turn grant r to ..." - \item countdown rights: "r can only be used n times" + \item no transfer of rights: "take r ... in turn grant r to ..." + \item no countdown rights: "r can only be used n times" \end{itemize*} - \item ORCON example (and many others): allow to ignore non-monotonic command $s$ from STS, e.g. 4.-7., since they - \begin{itemize*} - \item only remove rights - \item are reversible (e. g.: undo 4. by 2.; compensate 7. by 3. where the new subject takes roles of the destroyed one) - \end{itemize*} - \item AMTAM: most MTAM STS may be re-written as acyclic(cf. ORCON example) + \item ORCON: allow to ignore non-monotonic command $s$ from STS since they only remove rights and are reversible + \item AMTAM: most MTAM STS may be re-written as acyclic \item TAMTAM: expressive power equivalent to AMTAM \end{itemize*} - IBAC Model Comparison - \begin{itemize*} - \item So far: family of IBAC models to describe different ranges of security policies they are able to express(depicted as an Euler diagram): - \item x%![](Assets/Systemsicherheit-ibac-model-comparison.png) - \end{itemize*} + IBAC Model Comparison: family of IBAC models to describe different ranges of security policies they are able to express + \includegraphics[width=.5\linewidth]{Assets/Systemsicherheit-ibac-model-comparison.png} IBAC Summary \begin{itemize*} - \item We May Now - \begin{itemize*} - \item Model identity-based AC policies (IBAC) - \item Analyze them w. r. t. basic security properties (right proliferation) - \item $\rightarrow$ Minimize specification errors - \item $\rightarrow$ Minimize implementation errors - \end{itemize*} + \item Model identity-based AC policies (IBAC) + \item Analyze them w.r.t. basic security properties (right proliferation) + \item $\rightarrow$ Minimize specification errors + \item $\rightarrow$ Minimize implementation errors \item Approach \begin{itemize*} \item Unambiguous policy representation through formal notation \item Prediction and/or verification of mission-critical properties \item Derivation of implementation concepts \end{itemize*} - \item Model Range + \item Model Range - Static models: \begin{itemize*} - \item Static models: - \begin{itemize*} - \item Access control function (ACF): $f:S\times O\times OP\rightarrow \{true,false\}$ - \item Access control matrix (ACM): $m:S\times O\rightarrow 2^{OP}$ - \item $\rightarrow$ Static analysis: Which rights are assigned to whom, which (indirect) information flows are possible - \item $\rightarrow$ Implementation: Access control lists (ACLs), e.g. in OS, (DB)IS - \end{itemize*} - \item Dynamic models: - \begin{itemize*} - \item ACM plus deterministic automaton $\rightarrow$ Analysis of dynamic behavior: HRU safety - \begin{itemize*} - \item generally undecidable - \item decidable under specific restrictions: monotonous mono-conditional, static, typed, etc. - \item identifying and explaining safety-violations, in case such (are assumed to) exists: heuristic analysis algorithms - \end{itemize*} - \end{itemize*} + \item Access control function: $f:S\times O\times OP\rightarrow \{true,false\}$ + \item Access control matrix (ACM): $m:S\times O\rightarrow 2^{OP}$ + \item Static analysis: Which rights are assigned to whom, which (indirect) information flows are possible + \item Implementation: Access control lists (ACLs) + \end{itemize*} + \item Model Range - Dynamic models: + \begin{itemize*} + \item ACM plus deterministic automaton $\rightarrow$ Analysis of dynamic behavior: HRU safety + \item generally undecidable + \item decidable under specific restrictions: monotonous mono-conditional, static, typed, etc. + \item identifying and explaining safety-violations, in case such (are assumed to) exists: heuristic analysis algorithms \end{itemize*} \item Limitations \begin{itemize*} \item IBAC models are fundamental: KISS - \item IBAC models provide basic expressiveness only: - \begin{itemize*} - \item Comparable to "assembler programs for writing AC policies" - \item Imagine writing a sophisticated end-user application in assembler: - \begin{itemize*} - \item reserve and keep track of memory layout and addresses $\approx$ create and maintain individual rights for thousands of subjects, billions of objects - \item display comfortable GUI by writing to the video card framebuffer $\approx$ specify sophisticated workflows through an HRU STS - \end{itemize*} - \end{itemize*} - \item For more application-oriented policy semantics: - \begin{itemize*} - \item Large information systems: many users, many databases, files, ... $\rightarrow$ Scalability problem - \item Access decisions not just based on subjects, objects, and operations $\rightarrow$ Abstraction problem - \end{itemize*} + \item IBAC models provide basic expressiveness only + \end{itemize*} + \item For more application-oriented policy semantics: + \begin{itemize*} + \item Large information systems: many users, many databases, files, ... $\rightarrow$ Scalability problem + \item Access decisions not just based on subjects, objects, and operations $\rightarrow$ Abstraction problem \end{itemize*} \end{itemize*} - $\rightarrow$ "New" paradigm (early-mid 90s): Role-based Access Control - - \paragraph{Roles-based Access Control Models (RBAC)} - - Problems of IBAC Models: - \begin{itemize*} - \item Scalability w.r.t. the number of controlled entities - \item Level of abstraction: System-oriented policy semantics (processes, files, databases, ...) instead of problem-oriented (management levels, user accounts, quota, ...) - \end{itemize*} - - Goals of RBAC: - \begin{itemize*} - \item Solving these problems results in smaller modeling effort results in smaller chance of human errors made in the process: - \begin{itemize*} - \item Improved scalability and manageability - \item Improved, application-oriented semantics: roles$\approx$functions in organizations - \end{itemize*} - \end{itemize*} - - RBAC Application Domains - \begin{itemize*} - \item Public health care systems - \begin{itemize*} - \item Roles: Patient, physician, therapist, pharmacist, insurer, legislator, ... - \end{itemize*} - \item Financial services - \begin{itemize*} - \item Roles: Client, consultant, analyst, product manager, ... - \end{itemize*} - \item Operating systems - \begin{itemize*} - \item Roles: System admin, webserver admin, database admin, key account user, user, ... - \end{itemize*} - \end{itemize*} - - RBAC Idea + \subsubsection{Roles-based Access Control Models (RBAC)} + Solving Scalability and Abstraction results in smaller modeling effort results in smaller chance of human errors made in the process \begin{itemize*} + \item Improved scalability and manageability + \item application-oriented semantic: $roles\approx functions$ in organizations \item Models include smart abstraction: roles - \item Access control rules are specified based on roles instead of identities: - \begin{itemize*} - \item "All ward physiciansare allowed to read EPRs." - \item "Allnursesare allowed to log body temperature." - \end{itemize*} - \item Compared to IBAC - \begin{itemize*} - \item IBAC Semantics: - \begin{itemize*} - \item Subjects, objects, and rights for executing operations - \item Access rules are based onidentity of individualsubjects and objects - \end{itemize*} - \item RBAC Semantics: - \begin{itemize*} - \item Users, roles, and rights for executing operations - \item Access rules are based onrolesof users $\rightarrow$ on assignments: - \end{itemize*} - \end{itemize*} + \item AC rules are specified based on roles instead of identities + \item Users, roles, and rights for executing operations + \item Access rules are based onrolesof users $\rightarrow$ on assignments \end{itemize*} - - RBAC Security Model Definition - \note{Basic RBAC model: "$RBAC_0$" [Sandhu, 1994]}{An RBAC 0 model is a tuple $⟨U,R,P,S,UA,PA,user,roles⟩$ where - \begin{itemize*} - \item U is a set of user identifiers, - \item R is a set of role identifiers, - \item P is a set of permission identifiers, - \item S is a set of session identifiers, - \item $UA\subseteq U\times R$ is a many-to-many user-role-relation, - \item $PA\subseteq P\times R$ is a many-to-many permission-role-relation, - \item $user:S\rightarrow U$ is a total function mapping sessions to users, - \item $roles:S\rightarrow 2^R$ is a total function mapping sessions to sets of roles such that $\forall s\in S:r\in roles(s)\Rightarrow ⟨user(s),r⟩\in UA$. - \end{itemize*} + \note{Basic RBAC model ,,$RBAC_0$''}{An $RBAC_0$ model is a tuple $\langle U,R,P,S,UA,PA,user,roles\rangle$ where + \begin{itemize*} + \item U is a set of user identifiers, + \item R is a set of role identifiers, + \item P is a set of permission identifiers, + \item S is a set of session identifiers, + \item $UA\subseteq U\times R$ is a many-to-many user-role-relation, + \item $PA\subseteq P\times R$ is a many-to-many permission-role-relation, + \item $user:S\rightarrow U$ is a total function mapping sessions to users, + \item $roles:S\rightarrow 2^R$ is a total function mapping sessions to sets of roles such that $\forall s\in S:r\in roles(s)\Rightarrow \langle user(s),r\rangle \in UA$. + \end{itemize*} } Interpretation \begin{itemize*} \item Users U model people: actual humans that operate the AC system - \item Roles R model functions (accumulations of tasks), that originate from the workflows and areas of responsibility in organizations - \item Permissions P model rights for any particular access to a particular document (e. g. read project documentation, transfer money, write into EPR, ...) - \item The user-role-relation $UA\subseteq U\times R$ defines which roles are available to users at any given time $\rightarrow$ must be assumed during runtime first, before they are usable! - \item The permission-role-relation $PA\subseteq P\times R$ defines which permissions are associate with roles - \item $UA$ and $PA$ describe static policy rules: Roles available to a user are not considered to possibly change, same with permissions associated with a role. Examples: - \begin{itemize*} - \item "Bob may assume the role of a developer; Ann may assume the role of a developer or a project manager; ..." - \item "A developer may read and write the project documentation; a project manager may create branches of a source code repository; ..." - \end{itemize*} + \item Roles R model functions, that originate from the workflows and areas of responsibility in organizations + \item Permissions P model rights for any particular access to a particular document + \item user-role-relation $UA\subseteq U\times R$ defines which roles are available to users at any given time $\rightarrow$ must be assumed during runtime first before they are usable! + \item permission-role-relation $PA\subseteq P\times R$ defines which permissions are associate with roles + \item $UA$ and $PA$ describe static policy rules: Roles available to a user are not considered to possibly change, same with permissions associated with a role. \item Sessions $S$ describe dynamic assignments of roles $\rightarrow$ a session $s\in S$ models when a user is logged in(where she may use some role(s) available to her as per $UA$): \begin{itemize*} \item The session-user-mapping user: $S\rightarrow U$ associates a session with its ("owning") user @@ -1713,103 +1478,83 @@ \end{itemize*} \end{itemize*} - %![](Assets/Systemsicherheit-rbac-0.png) - - Remark: - Note the difference between users in RBAC and subjects in IBAC: the latter usually represent a technical abstraction, such as an OS process, while RBAC users always model an organizational abstraction, such as an employee, a patient, etc.! + \includegraphics[width=.5\linewidth]{Assets/Systemsicherheit-rbac-0.png} \paragraph{RBAC Access Control Function} \begin{itemize*} - \item Authorization in practice: access rules have to be defined for operations on objects (cf. IBAC) - \item IBAC approach: access control function $f:S\times O\times OP\rightarrow \{true,false\}$ - \item RBAC approach: implicitly defined through $P\rightarrow$ made explicit: $P\subseteq O\times OP$ is a set of permission tuples $⟨o,op⟩$ where + \item access rules have to be defined for operations on objects + \item implicitly defined through $P\rightarrow$ made explicit: $P\subseteq O\times OP$ is a set of permission tuples $\langle o,op\rangle$ where \begin{itemize*} \item $o\in O$ is an object from a set of object identifiers, \item $op\in OP$ is an operation from a set of operation identifiers. \end{itemize*} - \item We may now define the $ACF$ for $RBAC_0$: + \item We may now define the $ACF$ for $RBAC_0$ \end{itemize*} \note{$RBAC_0$ ACF}{ - \begin{itemize*} - \item $f_{RBAC_0}:U \times O\times OP\rightarrow\{true,false\}$ where - \item $f_{RBAC_0} (u,o,op)= \begin{cases} true, \quad \exists r\in R,s\in S:u=user(s)\wedge r\in roles(s)\wedge ⟨⟨o,op⟩,r⟩ \in PA \\ false, \quad\text{ otherwise } \end{cases}$. - \end{itemize*} + $f_{RBAC_0}:U \times O\times OP\rightarrow\{true,false\}$ where + + $f_{RBAC_0} (u,o,op)= \begin{cases} true, \quad \exists r\in R,s\in S:u=user(s)\wedge r\in roles(s)\wedge \langle \langle o,op\rangle ,r\rangle \in PA \\ false, \quad\text{ otherwise } \end{cases}$ } \paragraph{RBAC96 Model Family} - Sandhu et al. [1996] - - In practice, organizations have more requirements that need to be expressed in their security policy: + In practice, organizations have more requirements that need to be expressed in their security policy \begin{itemize*} - \item Roles are often hierarchical: "Any project manager is also a developer, any medical director is also a doctor, ..." $\rightarrow RBAC_1 = RBAC_0 + hierarchies$ - \item Role association and activation are often constrained: "No purchasing manager may be head of internal auditing, no product manager may be logged in as a project manager for more than one project at a time, ..." $\rightarrow$ $RBAC_2 = RBAC_0 + constraints$ - \item Both may be needed: $\rightarrow$ $RBAC_3$ = consolidation: $RBAC_0 + RBAC_1 + RBAC_2$ + \item Roles are often hierarchical $\rightarrow RBAC_1 = RBAC_0 + hierarchies$ + \item Role association and activation are often constrained $\rightarrow$ $RBAC_2 = RBAC_0 + constraints$ + \item Both may be needed $\rightarrow$ $RBAC_3$ = consolidation: $RBAC_0 + RBAC_1 + RBAC_2$ \end{itemize*} - RBAC 1 : Role Hierarchies + \paragraph{RBAC 1: Role Hierarchies} + Roles often overlap + \begin{enumerate*} + \item disjoint permissions for roles proManager and proDev $\rightarrow$ any proManager user must always have proDev assigned and activated for any of her workflows $\rightarrow$ role assignment redundancy + \item overlapping permissions: $\forall p\in P:\langle p,proDev\rangle \in PA\Rightarrow \langle p,proManager\rangle \in PA\rightarrow$ any permission for project developers must be assigned to two different roles $\rightarrow$ role definition redundancy + \item Two types of redundancy $\rightarrow$ undermines scalability goal of RBAC + \end{enumerate*} + + Solution: Role hierarchy $\rightarrow$ Eliminates role definition redundancy through permissions inheritance + + Modeling Role Hierarchies \begin{itemize*} - \item Observation: Roles in organizations often overlap: + \item Lattice here: $\langle R,\leq\rangle$ + \item Hierarchy expressed through dominance relation: $r_1\leq r_2 \Leftrightarrow r_2$ inherits any permissions from $r_1$ + \item Interpretation \begin{itemize*} - \item Users in different roles havecommon permissions: "Any project manager must have the same permissions as any developer in the same project." - \item Approach 1: disjoint permissions for roles proManager and proDev $\rightarrow$ any proManager user must always have proDev assigned and activated for any of her workflows $\rightarrow$ role assignment redundancy - \item Approach 2: overlapping permissions: $\forall p\in P:⟨p,proDev⟩ \in PA\Rightarrow ⟨p,proManager⟩ \in PA\rightarrow$ any permission for project developers must be assigned to two different roles $\rightarrow$ role definition redundancy - \item Two types of redundancy $\rightarrow$ undermines scalability goal of RBAC! - \end{itemize*} - \item Solution - \begin{itemize*} - \item Role hierarchy: Eliminates role definition redundancy through permissions inheritance - \end{itemize*} - \item Modeling Role Hierarchies - \begin{itemize*} - \item Lattice here: $⟨R,\leq⟩$ - \item Hierarchy expressed through dominance relation: $r_1\leq r_2 \Leftrightarrow r_2$ inherits any permissions from $r_1$ - \item Interpretation - \begin{itemize*} - \item Reflexivity: any role consists of ("inherits") its own permissions $\forall r\in R:r\leq r$ - \item Antisymmetry: no two different roles may mutually inherit their respective permissions $\forall r_1 ,r_2\in R:r_1\leq r_2\wedge r_2\leq r_1\Rightarrow r_1=r_2$ - \item Transitivity: permissions may be inherited indirectly $\forall r_1,r_2,r_3\in R:r_1\leq r_2 \wedge r_2\leq r_3\Rightarrow r_1\leq r_3$ - \end{itemize*} + \item Reflexivity: any role consists of ("inherits") its own permissions + \item Antisymmetry: no two different roles may mutually inherit their respective permissions + \item Transitivity: permissions may be inherited indirectly \end{itemize*} \end{itemize*} - \note{$RBAC_1$ Security Model}{An $RBAC_1$ model is a tuple $⟨U,R,P,S,UA,PA,user,roles,RH⟩$ where + \note{$RBAC_1$ Security Model}{An $RBAC_1$ model is a tuple $\langle U,R,P,S,UA,PA,user,roles,RH\rangle$ where \begin{itemize*} \item $U,R,P,S,UA,PA$ and $user$ are defined as for $RBAC_0$, - \item $RH\subseteq R\times R$ is a partial order that represents a role hierarchy where $⟨r,r'⟩\in RH\Leftrightarrow r\leq r'$ such that $⟨R,\leq⟩$ is a lattice, + \item $RH\subseteq R\times R$ is a partial order that represents a role hierarchy where $\langle r,r'\rangle \in RH\Leftrightarrow r\leq r'$ such that $\langle R,\leq\rangle$ is a lattice, \item roles is defined as for $RBAC_0$, while additionally holds: $\forall r,r'\in R,\exists s\in S:r\leq r'\wedge r'\in roles(s)\Rightarrow r\in roles(s)$. \end{itemize*} } - In prose: When activating any role that inherits permissions from another role, this other role isautomatically(by definition) active as well. + \paragraph{RBAC 2 : Constraints} + Assuming and activating roles in organizations is often more restricted: \begin{itemize*} - \item $\rightarrow$ no role assignment redundancy in defining the STS - \item $\rightarrow$ no role definition redundancy in defining PA + \item Certain roles may not be active at the same time (same session) for any user + \item Certain roles may not be together assigned to any user + \item $\rightarrow$ separation of duty (SoD) + \item While SoD constraints are a more fine-grained type of security requirements to avoid mission-critical risks, there are other types represented by RBAC constraints. \end{itemize*} - - - RBAC 2 : Constraints + Constraint Types \begin{itemize*} - \item Observation: Assuming and activating roles in organizations is often more restricted: - \begin{itemize*} - \item Certain roles may not beactive at the same time(same session)for any user: "A payment initiator may not be a payment authorizer at the same time (in the same session)." - \item Certain roles may not be together assigned to any user: "A purchasing manager never be the same person as the head of internal auditing." - \item $\rightarrow$ separation of duty (SoD) - \item While SoD constraints are a more fine-grained type of security requirements to avoid mission-critical risks, there are other types represented by RBAC constraints. - \end{itemize*} - \item Constraint Types - \begin{itemize*} - \item Separation of duty: mutually exclusive roles - \item Quantitative constraints: maximum number of roles per user - \item Temporal constraints: time/date/week/... of role activation (advanced RBAC models, e.g. Bertino et al. [2001]) - \item Factual constraints: assigning or activating roles for specific permissions causally depends on any roles for a certain, other permissions (e.g. only allow user $u$ to activate auditingDelegator role if audit payments permission is usable by $u$) - \end{itemize*} - \item Modeling Constraints:(idea only) - \begin{itemize*} - \item $RBAC_2 : ⟨U,R,P,S,UA,PA,user,roles,RE⟩$ - \item $RBAC_3 : ⟨U,R,P,S,UA,PA,user,roles,RH,RE⟩$ - \item where $RE$ is aset of logical expressions over the other model components (such as $UA,PA,user,roles$). - \end{itemize*} + \item Separation of duty: mutually exclusive roles + \item Quantitative constraints: maximum number of roles per user + \item Temporal constraints: time/date/week/... of role activation + \item Factual constraints: assigning or activating roles for specific permissions causally depends on any roles for a certain, other permissions + \end{itemize*} + Modeling Constraints Idea + \begin{itemize*} + \item $RBAC_2: \langle U,R,P,S,UA,PA,user,roles,RE\rangle$ + \item $RBAC_3: \langle U,R,P,S,UA,PA,user,roles,RH,RE\rangle$ + \item where $RE$ is a set of logical expressions over the other model components (such as $UA,PA,user,roles$) \end{itemize*} \paragraph{RBAC Summary} @@ -1819,37 +1564,27 @@ \item Standardization (RBAC96) $\rightarrow$ tool-support for: \begin{itemize*} \item role engineering (identifying and modeling roles) - \item model engineering (specifying and validating a model configuration) + \item model engineering (specifying/validating a model config.) \item static model checking (verifying consistency and plausibility of a model configuration) \end{itemize*} \item Still weak OS-support \begin{itemize*} - \item $\rightarrow$ application-level integrations (e. g. hospital IS, DBIS, ERP systems) - \item $\rightarrow$ middleware integrations (e. g. XACML, NGAC[Ferraiolo et al., 2016]) + \item $\rightarrow$ application-level integrations + \item $\rightarrow$ middleware integrations \end{itemize*} \item Limited dynamic analyses w.r.t. automaton-based models - \begin{itemize*} - \item cf. HRU:safety properties? - \item solution approach: automaton-based RBAC96 model - \item $\rightarrow$ DRBAC 0 ... 3 [Schlegel and Amthor, 2020] - \end{itemize*} \end{itemize*} - - \paragraph{Attribute-based Access Control Models} - Goals of ABAC: + \subsubsection{Attribute-based Access Control Models} \begin{itemize*} - \item Providing a more versatile solution than RBAC for these problems, especially for open and distributed systems. + \item Scalability and manageability + \item Application-oriented model abstractions + \item Model semantics meet functional requirements of open systems: \begin{itemize*} - \item Scalability and manageability - \item Application-oriented model abstractions - \item Model semantics meet functional requirements of open systems: - \begin{itemize*} - \item user IDs, INode IDs, ... only available locally, scaling bad - \item roles that gather permissions model functions limited to specific organizational structure; only assignable to users - \end{itemize*} - \item $\rightarrow$ Consider application-specific context of an access: attributes of subjects and objects(e. g. age, location, trust level, ...) + \item user IDs, INode IDs, ... only available locally + \item roles limited to specific organizational structure; only assignable to users \end{itemize*} + \item $\rightarrow$ Consider application-specific context of an access: attributes of subjects and objects(e. g. age, location, trust level, ...) \end{itemize*} Idea: Generalizing the principle of indirection already known from RBAC @@ -1857,11 +1592,11 @@ \item IBAC: no indirection between subjects and objects \item RBAC: indirection via roles assigned to subjects \item ABAC: indirection via arbitrary attributes assigned to subjects or objects - \item Attributes model application-specific properties of the system entities involved in any access, e. g.: + \item Attributes model application-specific properties of the system entities involved in any access \begin{itemize*} - \item Age, location, trustworthiness of a application/user/device/... - \item Size, creation time, premium-access classification of web resource/multimedia content/document/... - \item Risk quantification involved with these subjects and objects (e. g. access from an IP address/proxy domain reportedly belonging to a TOR network) + \item Age, location, trustworthiness of a application/user/... + \item Size, creation time, access classification of resource/... + \item Risk quantification involved with these subjects and objects \end{itemize*} \end{itemize*} @@ -1870,17 +1605,17 @@ \item $f_{IBAC}:S\times O\times OP\rightarrow\{true,false\}$ \item $f_{RBAC}:U\times O\times OP\rightarrow\{true,false\}$ \item $f_{ABAC}:S\times O\times OP\rightarrow\{true,false\}$ - \item $\rightarrow$ Evaluates attribute values for $⟨s,o,op⟩$, e. g.: $f_{ABAC}(user,game,download)=game.pegi \leq user.age$ + \item $\rightarrow$ Evaluates attribute values for $\langle s,o,op\rangle$ \end{itemize*} \paragraph{ABAC Security Model} \begin{itemize*} - \item Note: There is no such thing (yet) like a standard ABAC model (such as RBAC96). + \item Note: There is no such thing (yet) like a standard ABAC model \item Instead: Many highly specialized, application-specific models. - \item Here: minimal common formalism, based on Servos and Osborn [2017] + \item Here: minimal common formalism, based on Servos and Osborn \end{itemize*} - \note{ABAC Security Model}{An ABAC security model is a tuple $⟨S,O,AS,AO,attS,attO,OP,AAR⟩$ where + \note{ABAC Security Model}{An ABAC security model is a tuple $\langle S,O,AS,AO,attS,attO,OP,AAR\rangle$ where \begin{itemize*} \item $S$ is a set of subject identifiers and $O$ is a set of object identifiers, \item $A_S=V_S^1 \times...\times V_S^n$ is a set of subject attributes, where each attribute is an n-tuple of values from arbitrary domains $V_S^i$, $1\leq i \leq n$, @@ -1898,124 +1633,68 @@ \item Attributes in $AS,AO$ are index-referenced tuples of values, which are specific to some property of subjects $V_S^i$ (e.g. age) or of objects $V_O^j$ (e. g. PEGI rating) \item Attributes are assigned to subjects and objects via $att_S,att_O$ \item Access control rules w.r.t. the execution of operations in $OP$ are modeled by the $AAR$ relation $\rightarrow$ determines ACF! - \item $AAR$ is based on aset of first-order logic predicates $\Phi$: $\Phi=\{\phi_1 (x_{s1},x_{o1}),\phi_2 (x_{s2},x_{o2}),...\}$. Each $\phi_i\in\Phi$ is a binary predicate (a logical statement with two arguments), where $x_{si}$ is a subject variable and $x_{oi}$ is an object variable. + \item $AAR$ is based on a set of first-order logic predicates $\Phi$: $\Phi=\{\phi_1 (x_{s1},x_{o1}),\phi_2 (x_{s2},x_{o2}),...\}$. Each $\phi_i\in\Phi$ is a binary predicate, where $x_{si}$ is a subject variable and $x_{oi}$ is an object variable. \end{itemize*} - - \paragraph{ABAC Access Control Function} - With conditions from $\Phi$ for executing operations in $OP,AAR$ determines the ACF of the model: - - \note{ABAC ACF}{ + \note{ABAC Access Control Function (ACF)}{ \begin{itemize*} \item $f_{ABAC}:S\times O\times OP\rightarrow\{true,false\}$ where - \item $f_{ABAC}(s,o,op)= \begin{cases} true, \quad\exists ⟨\phi,op⟩\in AAR:\phi(s,o)=true\\ false, \quad\text{ otherwise } \end{cases}$. + \item $f_{ABAC}(s,o,op)= \begin{cases} true, \quad\exists \langle \phi,op\rangle \in AAR:\phi(s,o)=true\\ false, \quad\text{ otherwise } \end{cases}$. \item We call $\phi$ an authorization predicate for $op$. \end{itemize*} } - Example 1: Online Game Store - \begin{itemize*} - \item Policy goal: Enforce PEGI age restrictions for video game access - \item S: set of client IDs - \item O: set of video game titles - \item $A_S=\mathbb{N}(where\ n=1)$: one subject attribute (age) - \item $A_O=\{0,3,7,12,14,18\}(where\ m=1)$: one object attribute (PEGI rating) - \item $att_S:S\rightarrow A_S$: assigns age attribute to clients - \item $att_O:O\rightarrow A_O$: assigns PEGI rating attribute to games - \item $OP=\{download\}$: sole operation - \item One simpleauthorization rule: $AAR=\{⟨att_O(o) \leq att_S(s),download⟩\}$ - \end{itemize*} - - Example 2: Document Management System - \begin{itemize*} - \item Policy goal: Enforce document confidentiality - \item $S$: set of user IDs - \item $O$: set of document IDs - \item $A_S=\mathbb{N}(where\ n=1)$: subject attribute (trustworthiness value) - \item $A_O=\mathbb{N}(where\ m=1)$: object attribute (confidentiality level) - \item $att_S:S\rightarrow A_S$: assigns trustworthiness value to user (e. g. based on management level) - \item $att_O:O\rightarrow A_O$: assigns confidentiality level to documents - \item $OP=\{read,write,append,...\}$: operations - \item Authorization rules: $AAR=\{⟨att_O(o)\leq att_S(s),read⟩,⟨att_S(s) \leq att_O(o),write⟩,...\}$ - \end{itemize*} - \paragraph{ABAC Summary} \begin{itemize*} \item Scalability \item Application-oriented model abstractions - \item Universality: ABAC can conveniently express - \begin{itemize*} - \item IBAC (attributes: IDs) - \item RBAC (attributes: roles) - \item MLS (attributes: sensitivity levels $\rightarrow$ next topic) - \end{itemize*} - \item Still weak OS-support $\rightarrow$ application-level integrations (increasingly replacing RBAC) - \item Attribute semantics highly diverse, not normalizable $\rightarrow$ no common "standard ABAC" to expect (all too soon ...) + \item Universality: ABAC can conveniently express IBAC, RBAC, MLS + \item Still weak OS-support $\rightarrow$ application-level integrations + \item Attribute semantics highly diverse, not normalizable $\rightarrow$ no common ,,standard ABAC'' \item Limited dynamic analyses w.r.t. automaton-based models - \begin{itemize*} - \item cf. HRU:safety properties? - \item solution approach: automaton-based ABAC model ... - \end{itemize*} \end{itemize*} \subsubsection{Information Flow Models} - Abstraction Level of AC Models: rules about subjects accessing objects - - Adequate for + Abstraction Level of AC Models: rules about subjects accessing objects. Adequate for \begin{itemize*} \item Workflow systems \item Document/information management systems - \item ... that’s it. \end{itemize*} Goal of Information Flow (IF) Models: Problem-oriented definition of policy rules for scenarios based on information flows(rather than access rights) Lattices (refreshment) \begin{itemize*} - \item Terms: - \begin{itemize*} - \item $inf_C$: "systemlow" - \item $sup_C$: "systemhigh" - \end{itemize*} - \item $\rightarrow$ notably, a graph described by a lattice - \item is connected + \item $inf_C$: ,,systemlow'' + \item $sup_C$: ,,systemhigh'' \item has a source: $deg^-(inf_C)= 0$ \item has a sink: $deg^+(sup_C)= 0$ \end{itemize*} Implementation of Information Flow Models \begin{itemize*} - \item Background: Information flows and read/write operations are isomorphic + \item Information flows and read/write operations are isomorphic \begin{itemize*} - \item s has read permission w.r.t. o $\Leftrightarrow$ information may flow from o to s - \item s has write permission w.r.t. o $\Leftrightarrow$ information may flow from s to o + \item s has read permission o $\Leftrightarrow$ information may flow from o to s + \item s has write permission o $\Leftrightarrow$ information may flow from s to o \end{itemize*} \item $\rightarrow$ Implementation by standard AC mechanisms! \end{itemize*} Analysis of Information Flow Models \begin{itemize*} - \item IF Transitivity $\rightarrow$ analysis goal: covert information flows - \begin{itemize*} - \item Question: "Is there a possible, sequential usage of read\item and write-permissions that ultimately leads to an unintended information flow?" - \end{itemize*} - \item IF Antisymmetry $\rightarrow$ analysis goal: redundancy - \begin{itemize*} - \item Question: "Which subjects/object share the same possible information flows and are therefore redundant?" - \end{itemize*} + \item IF Transitivity $\rightarrow$ goal: covert information flows + \item IF Antisymmetry $\rightarrow$ goal: redundancy \end{itemize*} - \paragraph{The Denning Model} - On of the first information flow models [Denning, 1976]: - - \note{Denning Security Model}{A Denning information flow model is a tuple $⟨S,O,L,cl,\bigoplus⟩$ where + \note{Denning Security Model}{A Denning information flow model is a tuple $\langle S,O,L,cl,\bigoplus\rangle$ where \begin{itemize*} \item S is a set of subjects, \item O is a set of objects, - \item $L=⟨C,\leq⟩$ is a lattice where + \item $L=\langle C,\leq\rangle$ is a lattice where \begin{itemize*} \item C is a set of classes, - \item $\leq$ is a dominance relation wherec $\leq d \Leftrightarrow$ information may flow from c to d, + \item $\leq$ is a dominance relation where c $\leq d \Leftrightarrow$ information may flow from c to d, \end{itemize*} \item $cl:S\cup O\rightarrow C$ is a classification function, and \item $\bigoplus:C\times C\rightarrow C$ is a reclassification function. @@ -2025,26 +1704,10 @@ Interpretation \begin{itemize*} \item Subject set S models active entities, which information flows originate from - \item Object set O models passive entities, which may receive information flows (e.g. documents) - \item Classes set C used to label entities with identical information flow properties, e.g. $C=\{Physician,Patient\}$ - \item Classification function $cl$ assigns a class to each entity, e.g. $cl(cox)=Physician$ - \item Reclassification function $\bigoplus$ determines which class an entity is assigned after receiving certain a information flow; e.g. for Physician to Patient: $\bigoplus (Physician,Patient)=sup_{\{Physician,Patient\}}$ - \end{itemize*} - - Example $⟨S,O,L,cl,\bigoplus⟩$ mit $L=⟨C,\leq⟩$: - \begin{itemize*} - \item $S=O=\{cox,kelso,carla,...\}$ - \item $C=\{Physician, Anamnesis, Pharmacy, Medication,...\}$ - \item dominance relation $\leq$: - \begin{itemize*} - \item rule "information may flow from any ward physician to an anamnesis record" $\Leftrightarrow$ Physician $\leq$ Anamnesis - \item rule "information may flow from a medication record to the pharmacy" $\Leftrightarrow$ Medication $\leq$ Pharmacy - \end{itemize*} - \item classification cl: - \begin{itemize*} - \item $cox=Physician$ - \item $carla=Medication$ - \end{itemize*} + \item Object set O models passive entities, which may receive information flows + \item Classes set C used to label entities with identical information flow properties + \item Classification function $cl$ assigns a class to each entity + \item Reclassification function $\bigoplus$ determines which class an entity is assigned after receiving certain a information flow \end{itemize*} We can now ... @@ -2058,9 +1721,7 @@ \item implement a model: through an automatically generated, isomorphic ACM(using already-present ACLs!) \end{itemize*} - \paragraph{Multilevel Security (MLS)} - Motivation \begin{itemize*} \item Introducing a hierarchy of information flow classes: levels of trust \item Subjects and objects are classified: @@ -2068,51 +1729,20 @@ \item Subjects w.r.t. their trust worthiness \item Objects w.r.t. their criticality \end{itemize*} - \item Within this hierarchy, information may flow only in one direction $\rightarrow$ "secure" according to these levels! + \item Within this hierarchy, information may flow only in one direction $\rightarrow$ ,,secure'' according to these levels! \item $\rightarrow \exists$ MLS models for different security goals! \end{itemize*} Modeling Confidentiality Levels \begin{itemize*} - \item Class set: levels of confidentiality e.g. $C=\{public,confidential,secret\}$ + \item Class set: levels of confidentiality e.g. $C=\{public,conf,secret\}$ \item Dominance relation: hierarchy between confidentiality levels e.g. $\{public \leq confidential,confidential \leq secret\}$ \item Classification of subjects and objects: $cl:S\cup O\rightarrow C$ e.g. $cl(BulletinBoard)=public,cl(Timetable)=confidential$ - \item Note: In contrast du Denning, $\leq$ in MLS models is a total order. + \item In contrast due Denning $\leq$ in MLS models is a total order \end{itemize*} - Example - \begin{itemize*} - \item Lattice $⟨\{public,confidential,secret\},\leq⟩$ where $\leq=\{⟨public,confidential⟩,⟨confidential,secret⟩\}$ - \item Objects $O=\{ProjectXFiles, Timetable, BulletinBoard\}$ - \item Subjects $S=\{Ann, Bob\}$ - \item Classification of objects (classification level): - \begin{itemize*} - \item $cl(ProjectXFiles)=secret$ - \item $cl(Timetable)=confidential$ - \item $cl(BulletinBoard)=pulic$ - \end{itemize*} - \item Classification of subjects (clearance level): - \begin{itemize*} - \item $cl(Ann)=confidential$ - \item $cl(Bob)=public$ - \end{itemize*} - \item Neither Ann nor Bob can readProjectXFiles - \item Ann can - \begin{itemize*} - \item write to ProjectXFiles and Timetable - \item read from Timetable and BulletinBoard - \end{itemize*} - \item Bob can - \begin{itemize*} - \item write to all objects - \item read from BulletinBoard - \end{itemize*} - \end{itemize*} - - \paragraph{The Bell-LaPadula Model} - Goal: MLS-Model for Preserving Information Confidentiality - + MLS-Model for Preserving Information Confidentiality. Incorporates impacts on model design ... \begin{itemize*} \item from the application domain: hierarchy of trust @@ -2129,7 +1759,7 @@ Idea: \begin{itemize*} \item entity sets S,O - \item $lattice⟨C,\leq⟩$ defines information flows by + \item $lattice\langle C,\leq\rangle$ defines information flows by \begin{itemize*} \item C: classification/clearance levels \item $\leq$: hierarchy of trust @@ -2142,18 +1772,18 @@ \item Model’s runtime behavior is specified by a deterministic automaton \end{itemize*} - \note{BLP Security Model}{A BLP model is a deterministic automaton $⟨S,O,L,Q,\sum,\sigma,q_0,R⟩$ where + \note{BLP Security Model}{A BLP model is a deterministic automaton $\langle S,O,L,Q,\sum,\sigma,q_0,R\rangle$ where \begin{itemize*} \item S and O are (static) subject and object sets, - \item $L=⟨C,\leq⟩$ is a (static) lattice consisting of + \item $L=\langle C,\leq\rangle$ is a (static) lattice consisting of \begin{itemize*} \item the classes set C, \item the dominance relation $\leq$, \end{itemize*} \item $Q=M\times CL$ is the state space where \begin{itemize*} - \item $M=\{m|m:S\times O\rightarrow 2^R\}$ is the set ofpossible ACMs, - \item $CL=\{cl|cl:S\cup O\rightarrow C\}$ is a set offunctions that classify entities in $S\cup O$, + \item $M=\{m|m:S\times O\rightarrow 2^R\}$ is the set of possible ACMs, + \item $CL=\{cl|cl:S\cup O\rightarrow C\}$ is a set of functions that classify entities in $S\cup O$, \end{itemize*} \item $\sum$ is the input alphabet, \item $\sigma:Q\times \sum\rightarrow Q$ is the state transition function, @@ -2171,7 +1801,7 @@ \begin{itemize*} \item rights in the ACM, \item classification of subjects/objects, - \item not: S and O (different to HRU $\rightarrow$ consequences for safety analysis?) + \item not: S and O (different to HRU) \end{itemize*} \item Commands in the STS may therefore \begin{itemize*} @@ -2179,53 +1809,25 @@ \item reclassify subjects and objects. \end{itemize*} \end{itemize*} + \includegraphics[width=\linewidth]{Assets/Systemsicherheit-lattice-vs-acm.png} - \paragraph{Lattice vs. ACM} - Given an exemplary BLP model where - \begin{itemize*} - \item $S=\{s_1,s_2\}, O=\{o_1,o_2\}$ - \item $C=\{public,confidential\}$ - \item $\leq=\{⟨public,confidential⟩\}$ - \item $cl(s_1)=cl(o_1)=public$, $cl(s_2)=cl(o_2)=confidential$ - \item %![](Assets/Systemsicherheit-lattice-vs-acm.png) - \item Observation: L and m are isomorphic $\rightarrow$ redundancy? - \item $\rightarrow$ So, why do we need both model components? - \end{itemize*} - - Rationale \begin{itemize*} \item L is an application-oriented abstraction \begin{itemize*} \item Supports convenient for model specification - \item Supports easy model correctness analysis ($\rightarrow$ reachability analyses in graphs) + \item Supports easy model correctness analysis \item $\rightarrow$ easy to specify and to analyze \end{itemize*} \item m can be directly implemented by standard OS/DBIS access control mechanisms (ACLs, Capabilities) $\rightarrow$ easy to implement - \item m is determined (= restricted) by L and cl, not vice-versa! - \end{itemize*} - - Rationale for L and m - \begin{itemize*} + \item m is determined (= restricted) by L and cl, not vice-versa \item L and cl control m \item m provides an easy specification for model implementation \end{itemize*} - \paragraph{Consistency of L,cl, and m} - We know: IF rules specificed by L and cl are implemented by an ACM m... + \subsubsection{BLP Security} + \note{Read-Security Rule}{A BLP model state $\langle m,cl\rangle$ is called read-secure iff $\forall s\in S,o\in O:read\in m(s,o)\Rightarrow cl(o) \leq cl(s)$.} - So: What are the conditions for m to be a correct representation of L and cl? - - Intuition: An ACM m is a correct representation of a lattice L iff information flows granted by m do not exceed those defined by L and cl. $\rightarrow$ BLP security property - - Consequence: If we can prove this property for a given model, then its implementation (by m) is consistent with the rules given by L and cl. - - \paragraph{BLP Security} - Help Definitions - \note{Read-Security Rule}{A BLP model state $⟨m,cl⟩$ is called read-secure iff $\forall s\in S,o\in O:read\in m(s,o)\Rightarrow cl(o) \leq cl(s)$.} - - \note{Write-Security Rule}{A BLP model state $⟨m,cl⟩$ is called write-secure iff $\forall s\in S,o\in O:write\in m(s,o)\Rightarrow cl(s)\leq cl(o)$.} - - Note: In some literature, read-security is called "simple security", while write-security is called "$^*$-property". Reasons are obscure-historical. + \note{Write-Security Rule}{A BLP model state $\langle m,cl\rangle$ is called write-secure iff $\forall s\in S,o\in O:write\in m(s,o)\Rightarrow cl(s)\leq cl(o)$.} \note{State Security}{A BLP model state is called secure iff it is both read- and write-secure.} @@ -2236,22 +1838,16 @@ \end{enumerate*} } - The above definition is - \begin{itemize*} - \item intuitive - \item difficult to verify: state reachability... - \end{itemize*} - Auxiliary Definition: The Basic Security Theorem for BLP (BLP BST) \begin{itemize*} \item A convenient tool for proving BLP security \item Idea: let’s look at properties of the finite and small model components $\rightarrow\sigma\rightarrow$ STS \end{itemize*} - \note{The BLP Basic Security Theorem}{A BLP model $⟨S,O,L,Q,\sum,\sigma,q_0,R⟩$ is secure iff both of the following holds: + \note{The BLP Basic Security Theorem}{A BLP model $\langle S,O,L,Q,\sum,\sigma,q_0,R\rangle$ is secure iff both of the following holds: \begin{enumerate*} \item $q_0$ is secure - \item $\sigma$ is build such that for each state q reachable from $q_0$ by a finite input sequence, where $q=⟨m,cl⟩$ and $q'=\sigma(q,\delta)=m',cl',\forall s\in S, o\in O,\delta\in\sum$ the following holds: + \item $\sigma$ is build such that for each state q reachable from $q_0$ by a finite input sequence, where $q=\langle m,cl\rangle$ and $q'=\sigma(q,\delta)=m',cl',\forall s\in S, o\in O,\delta\in\sum$ the following holds: \end{enumerate*} \begin{itemize*} \item Read-security conformity: @@ -2269,8 +1865,7 @@ Proof of Read Security \begin{itemize*} - \item Technique: Term rewriting - \item Let $q=\sigma*(q_0 ,\sigma^+),\sigma^+\in\sigma^+,q'=\delta(q,\sigma),\sigma\in\sigma,s\in S,o\in O$. With $q=⟨m,cl⟩$ and $q'=m',cl'$, the BLP BST for read-security is + \item Let $q=\sigma*(q_0 ,\sigma^+),\sigma^+\in\sigma^+,q'=\delta(q,\sigma),\sigma\in\sigma,s\in S,o\in O$. With $q=\langle m,cl\rangle$ and $q'=m',cl'$, the BLP BST for read-security \begin{itemize*} \item (a1) $read \not\in m(s,o) \wedge read\in m'(s,o) \Rightarrow cl'(o) \leq cl'(s)$ \item (a2) $read \in m(s,o) \wedge\lnot (cl'(o)\leq cl'(s)) \Rightarrow read \not\in m'(s,o)$ @@ -2287,71 +1882,51 @@ \end{itemize*} \end{itemize*} - Where Do We Stand? - \begin{itemize*} - \item Precision: necessary and sufficient conditions for BLP security property - \item Analytical power: statements about dynamic model behavior based on static analysis of the (finite and generally small) STS $\rightarrow$ tool support - \item Insights: shows that BLP security is an inductive property - \end{itemize*} - - Problem: Larger systems: only source of access rules is the trust hierarchy $\rightarrow$ too coarse-grained! - Idea: Encode an additional, more fine-grained type of access restriction in the ACM $\rightarrow$ compartments \begin{itemize*} \item Comp: set of compartments \item $co:S\cup O\rightarrow 2^{Comp}$: assigns a set of compartments to an entity as an (additional) attribute \item Refined state security rules: \begin{itemize*} - \item $⟨m,cl,co⟩$ is read-secure $\Leftrightarrow\forall s\in S,o\in O:read \in m(s,o)\Rightarrow cl(o)\leq cl(s)\wedge co(o) \subseteq co(s)$ - \item $⟨m,cl,co⟩$ is write-secure $\Leftrightarrow\forall s\in S,o\in O:write\in m(s,o)\Rightarrow cl(s)\leq cl(o)\wedge co(o) \subseteq co(s)$ - \item Good ol’ BLP: $⟨S,O,L,Q,\sigma,\delta,q_0⟩$ - \item With compartments: $⟨S,O,L,Comp,Q_{co},\sigma,\delta,q_0⟩$ where $Q_{co}=M\times CL\times CO$ and $CO=\{co|co:S\cup O\rightarrow 2^{Comp}\}$ + \item $\langle m,cl,co\rangle$ is read-secure $\Leftrightarrow\forall s\in S,o\in O:read \in m(s,o)\Rightarrow cl(o)\leq cl(s)\wedge co(o) \subseteq co(s)$ + \item $\langle m,cl,co\rangle$ is write-secure $\Leftrightarrow\forall s\in S,o\in O:write\in m(s,o)\Rightarrow cl(s)\leq cl(o)\wedge co(o) \subseteq co(s)$ \end{itemize*} + \item old BLP: $\langle S,O,L,Q,\sigma,\delta,q_0\rangle$ + \item With compartments: $\langle S,O,L,Comp,Q_{co},\sigma,\delta,q_0\rangle$ where $Q_{co}=M\times CL\times CO$ and $CO=\{co|co:S\cup O\rightarrow 2^{Comp}\}$ \end{itemize*} Example \begin{itemize*} \item Let $co(o)=secret,co(o)=airforce$ \item $s_1$ where $cl(s_1)=public,co(s_1)=\{airforce,navy\}$ can write o - \item $s_2$ where $cl(s_2)=secret,co(s_2)=\{airforce,navy\}$ can read and write o + \item $s_2$ where $cl(s_2)=secret,co(s_2)=\{airforce,navy\}$ read/write o \item $s_3$ where $cl(s_3)=secret,co(s_3)=\{navy\}$ can do neither - \item %![](Assets/Systemsicherheit-blp-example.png) \end{itemize*} \paragraph{BLP Model Summary} - Model Achievements \begin{itemize*} - \item Application-oriented modeling $\rightarrow$ hierarchical information flow (goal: preserve confidentiality) + \item Application-oriented modeling $\rightarrow$ hierarchical information flow \item Scalability $\rightarrow$ attributes: trust levels \item Modeling dynamic behavior $\rightarrow$ automaton with STS - \item Correctness guarantees + \item Correctness guarantees (analysis of) \begin{itemize*} - \item Of model specification: analysis of - \begin{itemize*} - \item consistency: BLP security, BST - \item completeness of IF: IFG path finding - \item presence of unintended, transitive IF: IFG path finding - \item unwanted redundancy: IF cycles $\rightarrow$ information equivalence classes - \item safety properties:decidable! - \item $\rightarrow$ tool-supportpossible! - \end{itemize*} - \item Of model implementation: good ol’ ACM $\rightarrow$ ACLs, capabilities + \item consistency: BLP security, BST + \item completeness of IF: IFG path finding + \item presence of unintended IF: IFG path finding + \item unwanted redundancy: IF cycles + \item safety properties: decidable \end{itemize*} \item Implementation \begin{itemize*} \item ACM is a standard AC mechanism in contemporary implementation platforms (cf. prev. slide) - \item Contemporary standard OSs need this: do not support mechanisms for - \begin{itemize*} - \item entity classification - \item arbitrary STSs - \end{itemize*} - \item $\rightarrow$ newer platforms may do: SELinux, SEAndroid, TrustedBSD, Solaris, Trusted Extensions, PostgreSQL + \item Contemporary standard OSs need this: do not support mechanisms for entity classification, arbitrary STSs + \item new platforms: SELinux, TrustedBSD, PostgreSQL, ... \end{itemize*} \item Is an example of a hybrid model: IF + AC + ABAC \end{itemize*} - Lessons Learned - What we can learn from BLP for designing and using security models: + learn from BLP for designing and using security models \begin{itemize*} \item Model composition from known model abstractions \begin{itemize*} @@ -2362,59 +1937,42 @@ \item ACM: implementing application-oriented policy semantics \end{itemize*} \item Consistency is an important property of composed models - \item BLP is further extensible and refinable $\rightarrow$ starting point for later models, e. g. Biba + \item BLP is further extensible and refinable \end{itemize*} + \subsubsection{The Biba Model} + BLP upside down - \paragraph{The Biba Model} - BLP upside down [Biba, 1977]: - %![](Assets/Systemsicherheit-blp-vs-biba.png) + \begin{center} + \includegraphics[width=.5\linewidth]{Assets/Systemsicherheit-blp-vs-biba.png} + \end{center} \begin{itemize*} \item BLP $\rightarrow$ preserves confidentiality \item Biba $\rightarrow$ preserves integrity \end{itemize*} - Applications Example: On-board Airplane Passenger Information Systems + OS Example \begin{itemize*} - \item Goal: Provide in-flight information in cabin network - \begin{itemize*} - \item Flight instruments data - \item Outboard camera video streams - \item communication pilot - tower - \end{itemize*} - \item Integrity: no information flow from cabin to flight deck! - \item As employed in Boeing 787: common network for cabin and flight deck + software firewall + Biba implementation - \end{itemize*} - - Windows Vista UAC - \begin{itemize*} - \item An application of the Biba model for OS access control: - \item Integrity: Protect system files from malicious user (software) tampering - \item Class hierarchy: - \begin{itemize*} - \item system: OS level objects - \item high: services - \item medium: user level objects - \item low: untrusted processes e. g. web browser, setup application, ... - \end{itemize*} - \item Consequence: every file, process, ... created by the web browser is classified low $\rightarrow$ cannot violate integrity of system- and user-objects - \item Manual user involvement ($\rightarrow$ DAC portion of the policy):resolving intended exceptions, e. g. to install trusted application software + \item Integrity: Protect system files from malicious user/software + \item Class hierarchy (system, high, medium, low) + \item every file/process/... created is classified $\rightarrow$ cannot violate integrity of objects + \item Manual user involvement: resolving intended exceptions, e.g. install trusted application \end{itemize*} \subsubsection{Non-interference Models} - Problem No. 1: Covert Channels + Problems: Covert Channels \& Damage Range (Attack Perimeter) - \note{Covert Channel [Lampson, 1973]}{Channels [...] not intended for information transfer at all, such as the service program’s effect on the system load.} + \note{Covert Channel}{Channels not intended for information transfer at all, such as the service program’s effect on the system load.} \begin{itemize*} \item AC policies (ACM, HRU, TAM, RBAC, ABAC): colluding malware agents, escalation of common privileges \begin{itemize*} \item Process 1: only read permissions on user files \item Process 2: only permission to create an internet socket - \item both:communication via covert channel(e. g. swapping behavior) + \item both: communication via covert channel \end{itemize*} - \item MLS policies (Denning, BLP, Biba): indirect information flow exploitation (Note: We can never prohibitany possible transitive IF ...) + \item MLS policies (Denning, BLP, Biba): indirect information flow exploitation (can never prohibitany possible transitive IF ...) \begin{itemize*} \item Test for existence of a file \item Volume control on smartphones @@ -2422,40 +1980,29 @@ \end{itemize*} \end{itemize*} - Problem No. 2: Damage Range - How to substantiate a statement like: "Corruption of privileged system software will never have any impact on other system components." $\rightarrow$ Attack perimeter - - Idea of NI models: + Idea of NI models \begin{itemize*} - \item Once more: higher level of abstraction + \item higher level of abstraction \item Policy semantics: which domains should be isolated based on their mutual impact \end{itemize*} - Consequences: + Consequences \begin{itemize*} \item Easier policy modeling - \item More difficult policy implementation ...($\rightarrow$ higher degree of abstraction!) + \item More difficult policy implementation $\rightarrow$ higher degree of abstraction \end{itemize*} - - \paragraph{Example 1: Multi-application Smart Cards} + Example \begin{itemize*} + \item Fields: Smart Cards, Server System \item Different services, different providers, different levels of trust - \item Shared resources: Runtime software, OS, hardware (processor, memory, I/O interfaces, ...) - \item Needed:Total isolation of services (program code, security-critical information e. g. private keys) - \item $\rightarrow$ Guarantee of total non-interference between domains - \end{itemize*} - - \paragraph{Example 2: Server System} - \begin{itemize*} - \item Different services: web hosting, mail service, file sharing - \item Shared resources (see example 1) - \item Needed:Precisely defined and restricted cross-domain interactions (e. g. file up-/downloads, socket communication, shared memory read/write, ...) - \item $\rightarrow$ Guarantee of limited non-interferenc ebetween domains + \item Shared resources + \item Needed: isolation of services, restricted cross-domain interactions + \item $\rightarrow$ Guarantee of total/limited non-interference between domains \end{itemize*} \paragraph{NI Security Policies} - NI-Policies Specify + Specify \begin{itemize*} \item Security domains \item Cross-domain (inter)actions $\rightarrow$ interference @@ -2463,15 +2010,7 @@ From convert channels to domain interference: \note{Non-Interference}{Two domains do not interfere with each other iff no action in one domain can be observed by the other.} - $\rightarrow$ NI Model Abstractions: - \begin{itemize*} - \item Set of domains D - \item A non-interference relation $\approx_{NI}\subseteq D\times D$, such that $d_1 \approx_{NI} d_2\Leftrightarrow d_1$ does not interfere with $d_2$ - \item Subjects executeactions $a\in A$ - \item Effects of actions on domains defined by a mapping $dom:A\rightarrow 2^D$ - \end{itemize*} - - \note{NI Security Model}{An NI model is a det. automaton $⟨Q,\sigma,\delta,\lambda,q_0,D,A,dom,\approx_{NI},Out⟩$ where + \note{NI Security Model}{An NI model is a det. automaton $\langle Q,\sigma,\delta,\lambda,q_0,D,A,dom,\approx_{NI},Out\rangle$ where \begin{itemize*} \item Q is the set of (abstract) states, \item $\sigma=A$ is the input alphabet where A is the set of (abstract) actions, @@ -2483,10 +2022,9 @@ \item $\approx_{NI}\subseteq D\times D$ is a non-interference relation, \item $Out$ is a set of (abstract) outputs. \end{itemize*} + NI Security Model is also called Goguen/Meseguer-Model. } - NI Security Model is also called Goguen/Meseguer-Model [Goguen and Meseguer, 1982]. - BLP written as an NI Model \begin{itemize*} \item BLP Rules: @@ -2505,17 +2043,13 @@ \end{itemize*} \paragraph{NI Model Analysis} - Goal + Goals \begin{itemize*} \item AC models: privilege escalation ($\rightarrow$ HRU safety) - \item BLP models:model consistency ($\rightarrow$ BLP security) - \item NI models:Non-interference between domains + \item BLP models: model consistency ($\rightarrow$ BLP security) + \item NI models: Non-interference between domains \end{itemize*} - Non-Interference Intuitively: - Is there a sequence of actions $a^*\in A^*$ that violates $\approx_{NI}$? $\rightarrow$ A model is called $NI$-secure iff there is no sequence of actions that results in an illegal domain interference. Now what does this meansprecisely...? - - Before we define what NI-secure is, assume we could remove all actions from an action sequence that have no effect on a given set of domains: \note{Purge Function}{Let $aa^*\in A^*$ be a sequence of actions consisting of a single action $a\in A\cup\{\epsilon\}$ followed by a sequence $a^*\in A^*$, where $\epsilon$ denotes an empty sequence. Let $D'\in 2^D$ be any set of domains. Then, purge: $A^*\times 2^D \rightarrow A^*$ computes a subsequence of $aa^*$ by removing such actions without an observable effect on any element of $D':$ \begin{itemize*} \item $purge(aa^*,D')=\begin{cases} a\circ purge(a^*,D'), \quad\exists d_a\in dom(a),d'\in D':d_a\approx_I d' \\ purge(a^*,D'), \quad\text{ otherwise }\end{cases}$ @@ -2524,12 +2058,14 @@ where $\approx_I$ is the complement of $\approx_{NI}:d_1 \approx_I d_2\Leftrightarrow \lnot(d_1 \approx_{NI} d_2)$. } - \note{NI Security}{For a state $q\in Q$ of an NI model $⟨Q,\sigma,\delta,\lambda,q_0,D,A,dom,\approx_{NI},Out⟩$, the predicate ni-secure(q) holds iff $\forall a\in A,\forall a^*\in A^*:\lambda (\delta^*(q,a^*),a)=\lambda(\delta^*(q,purge(a^*,dom(a))),a)$.} + \note{NI Security}{For a state $q\in Q$ of an NI model $\langle Q,\sigma,\delta,\lambda,q_0,D,A,dom,\approx_{NI},Out\rangle$, the predicate ni-secure (q) holds iff $\forall a\in A,\forall a^*\in A^*:\lambda (\delta^*(q,a^*),a)=\lambda(\delta^*(q,purge(a^*,dom(a))),a)$.} Interpretation - 1. Running an NI model on $⟨q,a^*⟩$ yields $q'=\delta^*(q,a^*)$. - 2. Running the model on the purged input sequence so that it contains only actions that, according to $\approx_{NI}$, actually have impact on $dom(a)$ yields $q'_{clean}=\delta^*(q,purge(a^*,dom(a)))$ - 3. If $\forall a\in A:\lambda(q',a)=\lambda(q'_{clean},a)$, than the model is called NI-secure w.r.t. q($ni-secure(q)$). + \begin{enumerate*} + \item Running an NI model on $\langle q,a^*\rangle$ yields $q'=\delta^*(q,a^*)$. + \item Running the model on the purged input sequence so that it contains only actions that, according to $\approx_{NI}$, actually have impact on $dom(a)$ yields $q'_{clean}=\delta^*(q,purge(a^*,dom(a)))$ + \item If $\forall a\in A:\lambda(q',a)=\lambda(q'_{clean},a)$, than the model is called NI-secure w.r.t. q($ni-secure(q)$). + \end{enumerate*} \paragraph{Comparison to HRU and IF Models} \begin{itemize*} @@ -2549,16 +2085,14 @@ \begin{itemize*} \item Rules about mutual interference between domains \item Analysis goal: consistency of $\approx_{NI}$ and $dom$ - \item Implementation needs rigorous domain isolation (more rigorous than MLS, e.g. object encryption is not sufficient!) $\rightarrow$ expensive - \item State of the Art w.r.t. isolation completeness: VMs > OS domains (SELinux) > Containers + \item Implementation needs rigorous domain isolation (e.g. object encryption is not sufficient) $\rightarrow$ expensive + \item State of the Art w.r.t. isolation completeness \end{itemize*} \end{itemize*} \subsubsection{Hybrid Models} - Real-world Scenarios e.g. workflow modeling: IBAC plus RBAC plus IF plus time... $\rightarrow$ Hybrid models by composing pure models - \paragraph{Chinese-Wall Policies} - Security policy family for consulting companies + for consulting companies \begin{itemize*} \item Clients of any such company \begin{itemize*} @@ -2567,76 +2101,62 @@ \end{itemize*} \item Employees of consulting companies \begin{itemize*} - \item Are assigned to clients they consult (decided by management) + \item Are assigned to clients they consult \item Work for many clients $\rightarrow$ gather insider information \end{itemize*} - \item $\rightarrow$ Policy goal: No flow of (insider) information between competing clients + \item Policy goal: No flow of (insider) information between competing clients \end{itemize*} - Why look at specifically these policies? + Why look at specifically these policies? Modeling \begin{itemize*} - \item Modeling + \item Composition of \begin{itemize*} - \item Composition of - \begin{itemize*} - \item Discretionary IBAC components - \item Mandatory ABAC components - \end{itemize*} - \item Driven by real-world demands: iterative refinements of a model over time - \begin{itemize*} - \item Brewer-Nash model [Brewer and Nash, 1989] - \item Information flow model [Sandhu, 1992a] - \item Attribute-based model [Sharifi and Tripunitara, 2013] - \end{itemize*} - \item Application areas: consulting, cloud computing + \item Discretionary IBAC components + \item Mandatory ABAC components \end{itemize*} + \item Driven by real-world demands: iterative refinements of a model over time + \begin{itemize*} + \item Brewer-Nash model + \item Information flow model + \item Attribute-based model + \end{itemize*} + \item Application areas: consulting, cloud computing \end{itemize*} \paragraph{The Brewer-Nash Model} - Specialized model: Explicitly tailored towards Chinese Wall (CW) policies + Explicitly tailored towards Chinese Wall (CW) policies Model Abstractions \begin{itemize*} \item Consultants represented by subjects \item Client companies represented by objects, which comprise a company’s business data \item Modeling of competition by conflict classes: two different clients are competitors $\Leftrightarrow$ their objects belong to the same class - \item No information flow between competing objects $\rightarrow$ a "wall" separating any two objects from the same conflict class + \item No information flow between competing objects $\rightarrow$ a ,,wall'' separating any two objects from the same conflict class \item Additional ACM for refined management settings of access permissions \end{itemize*} - Example - \begin{itemize*} - \item Consultancy clients - \begin{itemize*} - \item Banks: HSBC, Deutsche Bank, Citigroup - \item Oil companies: Shell, Exxon Mobil/Esso - \end{itemize*} - \item Conflicts: business-crucial information flows between banks and oil companies - %![](Assets/Systemsicherheit-brewer-example.png) - \end{itemize*} - Representation of Conflict Classes \begin{itemize*} \item Client company data: object set O - \item Competition: conflict relation $C\subseteq O\times O:⟨o,o'⟩\in C\Leftrightarrow o$ and $o'$ belong to competing companies (non-reflexive, symmetric, generally not transitive) - \item In terms of ABAC:object attribute $att_O:O\rightarrow 2^O$, such that $att_O(o)=\{o'\in O|⟨o,o'⟩\in C\}$. + \item Competition: conflict relation $C\subseteq O\times O:\langle o,o'\rangle \in C\Leftrightarrow o$ and $o'$ belong to competing companies (non-reflexive, symmetric, generally not transitive) + \item In terms of ABAC:object attribute $att_O:O\rightarrow 2^O$, such that $att_O(o)=\{o'\in O|\langle o,o'\rangle \in C\}$. \end{itemize*} Representation of a Consultant’s History \begin{itemize*} \item Consultants: subject set S - \item History relation $H\subseteq S\times O:⟨s,o⟩\in H\Leftrightarrow s$ has previously consulted $o$ - \item In terms of ABAC: subject attribute $att_S:S\rightarrow 2^O$, such that $att_S(s)=\{o\in O|⟨s,o⟩\in H\}$. + \item History relation $H\subseteq S\times O:\langle s,o\rangle \in H\Leftrightarrow s$ has previously consulted $o$ + \item In terms of ABAC: subject attribute $att_S:S\rightarrow 2^O$, such that $att_S(s)=\{o\in O|\langle s,o\rangle \in H\}$. \end{itemize*} - \note{Brewer-Nash Security Model}{The Brewer-Nash model of the CW policy is a det. $automaton⟨S,O,Q,\sigma,\delta,q_0,R⟩$ where + \note{Brewer-Nash Security Model}{The Brewer-Nash model of the CW policy is a det. $automaton\langle S,O,Q,\sigma,\delta,q_0,R\rangle$ where \begin{itemize*} \item $S$ and $O$ are sets of subjects (consultants) and (company data) objects, \item $Q=M\times 2^C\times 2^H$ is the state space where \begin{itemize*} - \item $M=\{m|m:S\times O\rightarrow 2^R\}$ is the set ofpossible ACMs, - \item $C\subseteq O\times O$ is the conflict relation: $⟨o,o'⟩\in C\Leftrightarrow o$ and $o'$ are competitors, - \item $H\subseteq S\times O$ is the history relation: $⟨s,o⟩\in H\Leftrightarrow s$ has previously + \item $M=\{m|m:S\times O\rightarrow 2^R\}$ is the set of possible ACMs, + \item $C\subseteq O\times O$ is the conflict relation: $\langle o,o'\rangle \in C\Leftrightarrow o$ and $o'$ are competitors, + \item $H\subseteq S\times O$ is the history relation: $\langle s,o\rangle \in H\Leftrightarrow s$ has previously consulted $o$, \end{itemize*} \item $\sigma=OP \times X$ is the input alphabet where @@ -2650,43 +2170,31 @@ \end{itemize*} } - %![](Assets/Systemsicherheit-brewer-example-2.png) - At the time depicted: - \begin{itemize*} - \item Conflict relation: $C=\{⟨HSBC,DB⟩,⟨HSBC,Citi⟩,⟨DB,Citi⟩,⟨Shell,Esso⟩\}$ - \item History relation: $H=\{⟨Ann,DB⟩,⟨Bob,Citi⟩,⟨Bob,Esso⟩\}$ - \end{itemize*} - - \paragraph{Brewer-Nash STS} \begin{itemize*} - \item Read (here: similar to HRU notation) - $command read(s,o)::=if read \in m(s,o) \wedge\forall ⟨o',o⟩\in C:⟨s,o'⟩\not\in H$ - $then$ - $H:=H\cup\{⟨s,o⟩\}$ - $fi$ + \item Read (similar to HRU notation) + command read(s,o)::=if read $\in$ m(s,o) $\wedge\forall \langle o',o\rangle \in C:\langle s,o'\rangle \not\in H$ + then + $H:=H\cup\{\langle s,o\rangle \}$ + fi \item Write - $command write(s,o)::=if write \in m(s,o) \wedge\forall o'\in O:o'\not=o \Rightarrow ⟨s,o'⟩\not\in H$ - $then$ - $H:=H\cup\{⟨s,o⟩\}$ - $fi$ + command write(s,o)::=if write $\in$ m(s,o) $\wedge\forall o'\in O:o'\not=o \Rightarrow \langle s,o'\rangle \not\in H$ + then + $H:=H\cup\{\langle s,o\rangle \}$ + fi \end{itemize*} Not shown: Discretionary policy portion $\rightarrow$ modifications in m to enable fine-grained rights management. Restrictiveness \begin{itemize*} - \item Write Command: s is allowed to write $o\Leftrightarrow write\in m(s,o)\wedge\forall o'\in O:o'\not=o\Rightarrow⟨s,o'⟩\not\in H$ + \item Write Command: s is allowed to write $o\Leftrightarrow write\in m(s,o)\wedge\forall o'\in O:o'\not=o\Rightarrow\langle s,o'\rangle \not\in H$ \item Why so restrictive? $\rightarrow$ No transitive information flow! - \begin{itemize*} - \item $\rightarrow$ s must never have previously consulted any other client! - \item $\Rightarrow$ any consultant is stuck with her client on first read access - \item $\Rightarrow$ not (yet) a professional model! - \end{itemize*} + \item $\rightarrow$ s must never have previously consulted any other client! + \item any consultant is stuck with her client on first read access \end{itemize*} \paragraph{Brewer-Nash Model} - Instantiation of a Model \begin{itemize*} \item Initial State $q_0$ \begin{itemize*} @@ -2696,14 +2204,12 @@ \end{itemize*} \end{itemize*} - \note{Secure State}{$\forall o,o' \in O,s\in S:⟨s,o⟩\in H_q\wedge⟨s,o'⟩\in H_q\Rightarrow⟨o,o'⟩\not\in C_q$ + \note{Secure State}{$\forall o,o' \in O,s\in S:\langle s,o\rangle \in H_q\wedge\langle s,o'\rangle \in H_q\Rightarrow\langle o,o'\rangle \not\in C_q$ - Corollary: $\forall o,o'\in O,s\in S:⟨o,o'⟩\in C_q\wedge⟨s,o⟩\in H_q\Rightarrow ⟨s,o'⟩\not\in H_q$ + Corollary: $\forall o,o'\in O,s\in S:\langle o,o'\rangle \in C_q\wedge\langle s,o\rangle \in H_q\Rightarrow \langle s,o'\rangle \not\in H_q$ } - \note{Secure Brewer-Nash Model}{Similar to "secure BLP model".} - - In the exercises: STS, transformation into pure HRU calculus, dynamic subject and object sets. + \note{Secure Brewer-Nash Model}{Similar to ,,secure BLP model''.} \paragraph{Summary Brewer-Nash} What’s remarkable with this model? @@ -2714,7 +2220,7 @@ \item Sets (subjects, objects) \item ACM (DAC) \item Relations (company conflicts, consultants history) - \item Simple "read" and "write" rule + \item Simple ,,read'' and ,,write'' rule \item $\rightarrow$ easy to implement \end{itemize*} \item Analysis goals @@ -2730,10 +2236,10 @@ \item Remember the difference: trusting humans (consultants) vs. trusting software agents (subjects) \begin{itemize*} \item Consultants are assumed to be trusted - \item Systems (processes, sessions, etc.) may fail, e. g. due to a malware attack + \item Systems (processes, sessions, ...) may fail \end{itemize*} - \item $\rightarrow$ Write-rule applied not to humans, but to (shorter-lived) software agents $\rightarrow$ mitigating malware effectiveness - \item $\rightarrow$ Subject set S models consultant’s subjects (e. g. processes) in a group model: + \item $\rightarrow$ Write-rule applied not to humans, but to software agents + \item $\rightarrow$ Subject set S models consultant’s subjects (e.g. processes) in a group model \begin{itemize*} \item All processes of one consultant form a group \item Group members @@ -2743,35 +2249,32 @@ \item are strictly isolated w.r.t. IF \end{itemize*} \end{itemize*} - \item Solution approach: as we already know $\rightarrow$ model refinement! \end{itemize*} - \paragraph{The Least-Restrictive-CW Model} + Restrictiveness of Brewer-Nash Model: \begin{itemize*} - \item If $⟨o_i,o_k⟩\in C$: no transitive information flow $o_i \rightarrow o_j\rightarrow o_k$, i.e. consultant(s) of $o_i$ must never write to any $o_j\not=o_i$ - \item This is actually more restrictive than necessary: $o_j\rightarrow o_k$ and afterwards $o_i\rightarrow o_j$ would be fine! (no information can actually flow from $o_i$ to $o_k$) - \item In other words: Criticality of an IF depends on existence of earlier flows. + \item If $\langle o_i,o_k\rangle \in C$: no transitive information flow $o_i \rightarrow o_j\rightarrow o_k$, i.e. consultant(s) of $o_i$ must never write to any $o_j\not=o_i$ + \item This is actually more restrictive than necessary: $o_j\rightarrow o_k$ and afterwards $o_i\rightarrow o_j$ would be fine + \item Criticality of an IF depends on existence of earlier flows. \end{itemize*} - Idea LR-CW[Sharifi and Tripunitara, 2013]: Include time as a model abstraction! - - Approach: + Idea LR-CW: Include time as a model abstraction! \begin{itemize*} - \item $\forall s\in S,o\in O$: remember, which information has flown to an entity - \item $\rightarrow$ subject-/object-specific history, $\approx$attributes ("lables") + \item $\forall s\in S,o\in O$: remember, which information has flown to entity + \item $\rightarrow$ subject-/object-specific history, $\approx$attributes (,,lables'') \end{itemize*} - \note{LR-CW Model}{The Least-Restrictive model of the CW policy is a deterministic $automaton ⟨S,O,F,\zeta,Q,\sigma,\delta,q_0⟩$ where + \note{LR-CW Model}{The Least-Restrictive model of the CW policy is a deterministic $automaton \langle S,O,F,\zeta,Q,\sigma,\delta,q_0\rangle$ where \begin{itemize*} \item S and O are sets of subjects (consultants) and data objects, \item F is the set of client companies, - \item $\zeta:O\rightarrow F$ ("zeta") is a function mapping each object to its company, + \item $\zeta:O\rightarrow F$ (,,zeta'') function mapping each object to its company, \item $Q=2^C \times 2^H$ is the state space where \begin{itemize*} - \item $C\subseteq F\times F$ is the conflict relation: $⟨f,f'⟩\in C\Leftrightarrow f$ and $f'$ are competitors, - \item $H=\{Z_e\subseteq F|e\in S\cup O\}$ is the history set: $f\in Z_e\Leftrightarrow e$ contains information about $f(Z_e$ is the "history label" of $e$), + \item $C\subseteq F\times F$ is the conflict relation: $\langle f,f'\rangle \in C\Leftrightarrow f$ and $f'$ are competitors, + \item $H=\{Z_e\subseteq F|e\in S\cup O\}$ is the history set: $f\in Z_e\Leftrightarrow e$ contains information about $f(Z_e$ is the ,,history label'' of $e$), \end{itemize*} \item $\sigma=OP\times X$ is the input alphabet where \begin{itemize*} @@ -2783,40 +2286,18 @@ \end{itemize*} } - %![](Assets/Systemsicherheit-brewer-example-2.png) - \begin{itemize*} - \item At the time depicted (before the first write): - \begin{itemize*} - \item Client companies: $F=\{HSBC,DB,Citi,Shell,Esso\}$ - \item History set: $H=\{Z_{Ann},Z_{Bob},Z_{o1} ,...,Z_{o|O|}\}$ with history labels - \begin{itemize*} - \item $Z_{Ann}=\{DB\}$ - \item $Z_{Bob}=\{Citi,Esso\}$, - \item $Z_{oi}=\{\zeta(o_i)\}, 1\leq i\leq |O|$. - \end{itemize*} - \end{itemize*} - \end{itemize*} - Inside the STS \begin{itemize*} - \item a reading operation - \begin{itemize*} - \item requires that no conflicting information is accumulated in the subject potentially increases the amount of information in the subject - \item command read(s,o) ::= if $\forall f,f'\in Z_s \cup Z_o:⟨f,f'⟩\not\in C$ then $Z_s:=Z_s\cup Z_o$ fi - \end{itemize*} - \item a writing operation - \begin{itemize*} - \item requires that no conflicting information is accumulated in the object potentially increases the amount of information in the object - \item command write(s,o) ::= if $\forall f,f'\in Z_s\cup Z_o:⟨f,f'⟩\not\in C$ then $Z_o:=Z_o\cup Z_s$ fi - \end{itemize*} + \item a reading operation: requires that no conflicting information is accumulated in the subject potentially increases the amount of information in the subject + \item a writing operation: requires that no conflicting information is accumulated in the object potentially increases the amount of information in the object \end{itemize*} Model Achievements \begin{itemize*} - \item Applicability: more writes allowed in comparison to Brewer-Nash (note that this still complies with the general CW policy) + \item Applicability: more writes allowed in comparison to Brewer-Nash \item Paid for with \begin{itemize*} - \item Need to store individual attributes of all entities (their history labels $Z_e$) + \item Need to store individual attributes of all entities (history labels) \item Dependency of write permissions on earlier actions of other subjects \end{itemize*} \item More extensions: @@ -2826,30 +2307,12 @@ \end{itemize*} \end{itemize*} - \paragraph{An MLS Model for Chinese-Wall Policies} - Problems - \begin{itemize*} - \item Modeling of conflict relation - \item Modeling of consultants history - \end{itemize*} - + \subsubsection{An MLS Model for Chinese-Wall Policies} Conflict relation is \begin{itemize*} \item non-reflexive: no company is a competitor of itself \item symmetric: competition is always mutual - \item not necessarily transitive: any company might belong to more than one conflict class $\Rightarrow$ if a competes with b and b competes with c, then a and c might still be in different conflict classes (= no competitors) $\rightarrow$ Cannot be modeled by a lattice! - \end{itemize*} - - Reminder:In a lattice$⟨C,\leq⟩$,$\leq$ is a partial order: - 1. reflexive $(\forall a\in C:a \leq a)$ - 2. anti-symmetric $(\forall a,b \in C:a \leq b \wedge b \leq a\Rightarrow a=b)$ - 3. transitive $(a,b,c \in C:a \leq b \wedge b \leq c \Rightarrow a \leq c)$ - - MLS-CW Example: - \begin{itemize*} - \item Two conflict classes: %![](Assets/Systemsicherheit-mls-conflict-classes.png) - \item Resulting valid information flows: %![](Assets/Systemsicherheit-mls-information-flow.png) - \item Problem: How to express this more directly, by allowed information flows rather than (forbidden) conflicts? + \item not necessarily transitive: any company might belong to more than one conflict class $\rightarrow$ Cannot be modeled by a lattice \end{itemize*} Idea: Labeling of entities @@ -2858,110 +2321,82 @@ \item Consultant reclassified whenever a company data object is read \item $\rightarrow$ Classes and labels: \item Class set of a lattice $C=\{DB,Citi,Shell,Esso\}$ - \item Entity label: vector of information already present in each business branch (formerly known as conflict classin Brewer-Nash!) - \item In our example, a vector consists of 2 elements $\in C$; resulting in labels such as: + \item Entity label: vector of information already present in each business branch + \item In example, a vector consists of 2 elements $\in C$ resulting in labels as: \begin{itemize*} \item $[\epsilon,\epsilon]$ (exclusively for $inf_C$) \item $[DB,\epsilon]$ (for DB-objects or -consultants) \item $[DB,Shell]$ (for subjects or objects containing information from both DB and Shell) - \item $[Esso,Shell]$ (illegal label!) - \item ... \end{itemize*} \end{itemize*} - \paragraph{Summary CW} - Why is the "Chinese Wall" policy interesting? + Why is the ,,Chinese Wall'' policy interesting? \begin{itemize*} \item One policy, multiple models: - \begin{itemize*} - \item The Brewer-Nash model demonstrates hybrid DAC-/MAC-/IFC-approach - \item The Least-Restrictive CW model demonstrates a more practical professionalization - \item The MLS-CW model demonstrates applicability of lattice-based IF modeling $\rightarrow$ semantically cleaner approach - \end{itemize*} + \item Brewer-Nash model demonstrates hybrid DAC-/MAC-/IFC-approach + \item Least-Restrictive CW model demonstrates a more practical professionalization + \item MLS-CW model demonstrates applicability of lattice-based IF modeling $\rightarrow$ semantically cleaner approach \item Applications: Far beyond traditional consulting scenarios...$\rightarrow$ current problems in cloud computing! \end{itemize*} - - \subsection{Summary} - Security Models + \subsection{Summary - Security Models} \begin{itemize*} \item Formalize informal security policies for the sake of \begin{itemize*} \item objectification by unambiguous calculi - \item explanation and (possibly) proof of security properties (e.g. HRU safety, BLP security, NI security) by formal analysis techniques + \item explanation and proof of security properties by formal analysis techniques \item foundation for correct implementations \end{itemize*} - \item Are composed of simple building blocks - \begin{itemize*} - \item E.g. ACMs, sets, relations, functions, lattices, state machines - \item ... that are combined and interrelated to form more complex models - \item $\rightarrow$ (D)RBAC, (D)ABAC, BLP, Brewer-Nash, LR-CW, MLS-CW - \end{itemize*} + \item Are composed of simple building blocks (e.g. ACMs, sets, relations, functions, lattices, state machines) that are combined and interrelated to form more complex models \end{itemize*} - Remember: Goals of Security Models - \begin{itemize*} - \item Unambiguous policy formalization to - 1. reason about policy correctness - 2. correctly implement a policy - \end{itemize*} - - \section{Practical Security Engineering} - Problem: Off-the-shelf models not always a perfect match for real-world scenarios - Goal: Design of new, application-specific models \begin{itemize*} - \item Identify common components found in many models $\rightarrow$ generic model core + \item Identify common components $\rightarrow$ generic model core \item Core specialization \item Core extension \item Glue between model components \end{itemize*} - \subsection{Model Engineering } - \subsubsection{Model Family} - What we have - %![](Assets/Systemsicherheit-model-family.png) - - In Formal Words ... + \subsection{Model Engineering} + Model Engineering Principles \begin{itemize*} - \item HRU: $⟨ Q, \sum , \delta, q_0 , R ⟩$ - \item $DRBAC_0$ : $⟨ Q, \sum , \delta, q_0 , R, P, PA ⟩$ - \item DABAC: $⟨ A , Q ,\sum , \delta, q_0 ⟩$ - \item TAM: $⟨ Q , \sum , \delta, q_0 , T, R ⟩$ - \item BLP: $⟨ S, O, L, Q , \sum , \delta, q_0 , R ⟩$ - \item NI: $⟨ Q , \sum , \delta, \lambda ,q_0 , D, A, dom, =_{NI} , Out ⟩$ + \item Core model + \item Core specialization + \item Core extension + \item Component glue \end{itemize*} Core Model (Common Model Core) \begin{itemize*} - \item HRU: $⟨ Q, \sum , \delta, q_0 , \not R ⟩$ - \item $DRBAC_0$ : $⟨ Q, \sum , \delta, q_0 , \not R, \not P, \not PA ⟩$ - \item DABAC: $⟨ \not A , Q ,\sum , \delta, q_0 ⟩$ - \item TAM: $⟨ Q , \sum , \delta, q_0 , \not T, \not R ⟩$ - \item BLP: $⟨ \not S, \not O, \not L, Q , \sum , \delta, q_0 , \not R ⟩$ - \item NI: $⟨ Q , \sum , \delta, \not \lambda ,q_0 , \not D, \not A, \not dom, \not =_{NI} , \not Out ⟩$ - \item $\rightarrow ⟨ Q ,\sum , \delta, q_0 ⟩$ + \item HRU: $\langle Q, \sum , \delta, q_0 , \not R \rangle$ + \item $DRBAC_0$ : $\langle Q, \sum , \delta, q_0 , \not R, \not P, \not PA \rangle$ + \item DABAC: $\langle \not A , Q ,\sum , \delta, q_0 \rangle$ + \item TAM: $\langle Q , \sum , \delta, q_0 , \not T, \not R \rangle$ + \item BLP: $\langle \not S, \not O, \not L, Q , \sum , \delta, q_0 , \not R \rangle$ + \item NI: $\langle Q , \sum , \delta, \not \lambda ,q_0 , \not D, \not A, \not dom, \not =_{NI} , \not Out \rangle$ + \item $\rightarrow \langle Q ,\sum , \delta, q_0 \rangle$ \end{itemize*} Core Specialization \begin{itemize*} - \item HRU: $⟨ Q, \sum , \delta, q_0 , R ⟩ \Rightarrow Q = 2^S \times 2^O \times M$ - \item $DRBAC_0$ : $⟨ Q, \sum , \delta, q_0 , R, P, PA ⟩ \Rightarrow Q = 2^U\times 2^{UA}\times 2^S \times USER \times ROLES$ - \item DABAC: $⟨ A , Q ,\sum , \delta, q_0 ⟩ \Rightarrow Q = 2^S\times 2^O \times M\times ATT$ - \item TAM: $⟨ Q , \sum , \delta, q_0 , T, R ⟩ \Rightarrow Q = 2^S\times 2^O\times TYPE \times M$ - \item BLP: $⟨ S, O, L, Q , \sum , \delta, q_0 , R ⟩ \Rightarrow Q = M \times CL$ - \item NI: $⟨ Q , \sum , \delta, \lambda ,q_0 , D, A, dom, =_{NI} , Out ⟩$ + \item HRU: $\langle Q, \sum , \delta, q_0 , R \rangle \Rightarrow Q = 2^S \times 2^O \times M$ + \item $DRBAC_0$ : $\langle Q, \sum , \delta, q_0 , R, P, PA \rangle \Rightarrow Q = 2^U\times 2^{UA}\times 2^S \times USER \times ROLES$ + \item DABAC: $\langle A , Q ,\sum , \delta, q_0 \rangle \Rightarrow Q = 2^S\times 2^O \times M\times ATT$ + \item TAM: $\langle Q , \sum , \delta, q_0 , T, R \rangle \Rightarrow Q = 2^S\times 2^O\times TYPE \times M$ + \item BLP: $\langle S, O, L, Q , \sum , \delta, q_0 , R \rangle \Rightarrow Q = M \times CL$ + \item NI: $\langle Q , \sum , \delta, \lambda ,q_0 , D, A, dom, =_{NI} , Out \rangle$ \end{itemize*} Core Extensions \begin{itemize*} - \item HRU: $⟨ Q, \sum , \delta, q_0 , R ⟩ \Rightarrow R$ - \item $DRBAC_0$ : $⟨ Q, \sum , \delta, q_0 , R, P, PA ⟩ \Rightarrow R,P,PA$ - \item DABAC: $⟨ A , Q ,\sum , \delta, q_0 ⟩ \Rightarrow A$ - \item TAM: $⟨ Q , \sum , \delta, q_0 , T, R ⟩ \Rightarrow T,R$ - \item BLP: $⟨ S, O, L, Q , \sum , \delta, q_0 , R ⟩ \Rightarrow S,O,L,R$ - \item NI: $⟨ Q , \sum , \delta, \lambda ,q_0 , D, A, dom, =_{NI} , Out ⟩ \Rightarrow \lambda,D,A,dom,=_{NI},Out$ + \item HRU: $\langle Q, \sum , \delta, q_0 , R \rangle \Rightarrow R$ + \item $DRBAC_0$ : $\langle Q, \sum , \delta, q_0 , R, P, PA \rangle \Rightarrow R,P,PA$ + \item DABAC: $\langle A , Q ,\sum , \delta, q_0 \rangle \Rightarrow A$ + \item TAM: $\langle Q , \sum , \delta, q_0 , T, R \rangle \Rightarrow T,R$ + \item BLP: $\langle S, O, L, Q , \sum , \delta, q_0 , R \rangle \Rightarrow S,O,L,R$ + \item NI: $\langle Q , \sum , \delta, \lambda ,q_0 , D, A, dom, =_{NI} , Out \rangle \Rightarrow \lambda,D,A,dom,=_{NI},Out$ \item $\rightarrow R, P, PA, A , T , S , O , L , D , dom , =_{NI} , ...$ \end{itemize*} @@ -2969,58 +2404,12 @@ \begin{itemize*} \item E.g. TAM: State transition scheme (types) \item E.g. DABAC: State transition scheme (matrix and predicates) - \item E.g. Brewer/Nash Chinese Wall model: "$\wedge$" (simple, because $H+C\not= m$) - \item E.g. BLP + \item E.g. Brewer/Nash Chinese Wall model: ,,$\wedge$'' (simple, because $H+C\not= m$) + \item E.g. BLP (much more complex, because rules restrict m by L and cl ) \begin{itemize*} \item BLP read rule \item BLP write rule \item BST - \item (much more complex, because rules restrict m by L and cl ) - \end{itemize*} - \end{itemize*} - - $\rightarrow$ Model Engineering Principles - \begin{itemize*} - \item Core model - \item Core specialization, e.g. - \begin{itemize*} - \item $Q = 2^S\times 2^O \times M$ (HRU) - \item $Q = M\times CL$ (BLP) - \end{itemize*} - \item Core extension, e.g. - \begin{itemize*} - \item e.g. $L$ (BLP) - \item $T$ (TAM) - \item $D, dom ,=_{NI}$ (NI) - \end{itemize*} - \item Component glue, e.g. - \begin{itemize*} - \item Chinese Wall: DAC "$\wedge$" MAC in AS - \item BLP: complex relation between ACM and lattice - \item $\rightarrow$ BLP security, BLP BST - \end{itemize*} - \end{itemize*} - - You should have mastered now: A basic tool set for model-based security policy engineering - \begin{itemize*} - \item A stock of basic security model abstractions - \begin{itemize*} - \item ACFs and ACMs - \item Model states and transitions defined by an STS - \item Attributes (roles, confidentiality classes, information contents, location, ...) - \item Information flows - \end{itemize*} - \item A stock of formal model building blocks - \begin{itemize*} - \item Sets, functions, relations - \item Deterministic automatons - \item Graphs and lattices - \end{itemize*} - \item A stock of standard, off-the-shelf security models - \item Methods and techniques - \begin{itemize*} - \item for model-based proof of policy properties properties - \item for combining basic model building blocks into new, application-oriented security models \end{itemize*} \end{itemize*} @@ -3029,18 +2418,8 @@ \begin{itemize*} \item We want: A system controlled by a security policy \item We have: A (satisfying) formal model of this policy - \end{itemize*} - - To Do - \begin{itemize*} - \item How to convert a formal model into an executable policy? - \begin{itemize*} - \item $\rightarrow$ Policy specification languages - \end{itemize*} - \item How to enforce an executable policy in a system? - \begin{itemize*} - \item $\rightarrow$ security mechanisms and architectures (Chapters 5 and 6) - \end{itemize*} + \item How to convert a formal model into an executable policy? $\rightarrow$ Policy specification languages + \item How to enforce an executable policy in a system? $\rightarrow$ security mechanisms and architectures \end{itemize*} Role of Specification Languages: Same as in software engineering @@ -3048,46 +2427,25 @@ \item To bridge the gap between \begin{itemize*} \item Abstractions of security models (sets, relations, ...) - \item Abstractions of implementation platforms (security mechanisms such as ACLs, krypto-algorithms, Security Server ...) - \end{itemize*} - \item Foundation for - \begin{itemize*} - \item Code verification - \item Or even more convenient: Automated code generation + \item Abstractions of implementation platforms (security mechanisms such as ACLs, krypto-algorithms,...) \end{itemize*} + \item Foundation for Code verification or even more convenient: Automated code generation \end{itemize*} - Approach \begin{itemize*} - \item Abstraction level: - \begin{itemize*} - \item Step stone between model and security mechanisms - \item $\rightarrow$ More concrete than models - \item $\rightarrow$ More abstract than programming languages (“what” instead of “how“) - \end{itemize*} - \item Expressive power: - \begin{itemize*} - \item Domain-specific; for representing security models only - \item $\rightarrow$ Necessary: adequate language paradigms - \item $\rightarrow$ Sufficient: not more than necessary (no dead weight) - \end{itemize*} + \item Abstraction level: Step stone between model and security mechanisms + \item $\rightarrow$ More concrete than models + \item $\rightarrow$ More abstract than programming languages (,,what'' instead of ,,how'') + \item Expressive power: Domain-specific, for representing security models only + \item $\rightarrow$ Necessary: adequate language paradigms + \item $\rightarrow$ Sufficient: not more than necessary (no dead weight) \end{itemize*} Domains \begin{itemize*} - \item Model domain - \begin{itemize*} - \item e.g. AC models (TAM, RBAC, ABAC) - \item e.g. IF models (MLS) - \item e.g. NI models - \end{itemize*} - \item Implementation domain - \begin{itemize*} - \item OS - \item Middleware - \item Applications - \end{itemize*} + \item Model domain, e.g. AC/IF/NI models (TAM, RBAC, ABAC) + \item Implementation domain (OS, Middleware, Applications) \end{itemize*}