Abstract
We present a fully-automatic method for checking safety properties of parameterized synchronous systems based on a backward reachability procedure working over real arithmetics. We consider here concurrent systems consisting of many identical (finite-state) processes and one monitor where processes may react non-deterministically to the messages sent by the monitor. This type of non-determinism allows us to model abstractions of situations in which processes are re-allocated according to individual properties. We represent concisely collections of global states counting the number of processes in a given state during a run of the global system, i.e., we reason modulo symmetries. We u se a special class of linear arithmetic constraints to represent collections of global system states. We define a decision procedure for checking safety properties for parameterized systems using efficient constraints operations defined over real arithmetics. The procedure can be implemented using existing constraint-based symbolic model checkers or tools for program analysis defined over real-arithmetics.
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Delzanno, G. (2002). Constraint-Based Model Checking for Parameterized Synchronous Systems. In: Armando, A. (eds) Frontiers of Combining Systems. FroCoS 2002. Lecture Notes in Computer Science(), vol 2309. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45988-X_7
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DOI: https://doi.org/10.1007/3-540-45988-X_7
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