Abstraction, Refinement and Proof for Probabilistic Systems
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منابع مشابه
Compositional Verification with Abstraction, Learning, and SAT Solving
Compositional reasoning is an approach for scaling model checking to complex computer systems, where a given property of a system is decomposed into properties of small parts of the system. The key difficulty with compositional reasoning is in automatically coming up with sufficient decompositions of global properties into local properties. This thesis develops efficient compositional algorithm...
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For standard (ie non-probabilistic) systems of reasonable size, correctness is analysed by simulation and/or model checking, possibly with standard program-logical arguments beforehand to reduce the problem size by abstraction. For probabilistic systems there are model checkers and simulators too; but probabilistic program logics are rarer. Thus e.g. model checkers face more severe exposure to ...
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In this paper the abstraction-refinement paradigm based on 3-valued logics is extended to the setting of probabilistic systems. We define a notion of abstraction for Markov chains. To be able to relate the behavior of abstract and concrete systems, we equip the notion of abstraction with the concept of simulation. Furthermore, we present model checking for abstract probabilistic systems (abstra...
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ion refinement techniques in probabilistic model checking are prominent approaches to the verification of very large or infinite-state probabilistic concurrent systems. At the core of the refinement step lies the implicit or explicit analysis of a counterexample. This paper proposes an abstraction refinement approach for the probabilistic computation tree logic (PCTL), which is based on increme...
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We describe an automated technique for assume-guarantee style checking of strong simulation between a system and a specification, both expressed as non-deterministic Labeled Probabilistic Transition Systems (LPTSes). We first characterize counterexamples to strong simulation as stochastic trees and show that simpler structures are insufficient. Then, we use these trees in an abstraction refinem...
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