By Chao Wang

ISBN-10: 0387341552

ISBN-13: 9780387341552

ISBN-10: 0387346007

ISBN-13: 9780387346007

Abstraction Refinement for big Scale version Checking summarizes contemporary examine on abstraction concepts for version checking huge electronic procedure. contemplating either the dimensions of ultra-modern electronic structures and the skill of state of the art verification algorithms, abstraction is the one achievable answer for the winning program of version checking innovations to industrial-scale designs. This ebook describes contemporary learn advancements in automated abstraction refinement ideas. The suite of algorithms provided during this publication has established major development over past paintings; a few of them have already been followed via the EDA businesses of their commercial/in-house verification instruments.

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Since none of the non-trivial SCCs intersects the fair set {aO, 60,cO}, the language of the system is empty. An s e c is a maximal set of states such that there is a path between any two states. A reachable non-trivial SCC that intersects all acceptance conditions is called a fair SCC. An SCC that contains some initial states is called an initial SCC. An SCC-closed set of A is the union of a collection of SCCs. The complete set of SCCs of A^ denoted by n ( ^ ) , forms a partition of the states of A.

For invariant properties, we propose a data structure called the synchronous onion rings (SORs) to symbolically capture all the shortest counterexamples and no other counterexamples. The SORs are then used to concretize all the shortest counterexamples simultaneously with a SAT solver, and to compute the refinement set. 1 Introduction The concrete model is considered as a formal description of the complete behavior of the system. Abstraction preserves only part of the behavior that is relevant to the verification of the given property, in the hope that the simplified model is easier to verify.

A symbolic step is either a pre-image computation (finding predecessors through the evaluation of EX) or an image computation (finding successors through the evaluation of EY, the dual of EX). Another way of checking language emptiness is to find all the strongly connected components (SCCs) and then check whether any of them satisfies all the acceptance conditions. If there exists a reachable non-trivial s e c that intersects every Fi G ^ , the language of the Biichi automaton is not empty. An SCO consisting of just one state without a self-loop is called trivial In our running example, the reachable non-trivial SCCs of the composed system are {al} and {cl}.

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Abstraction Refinement for Large Scale Model Checking by Chao Wang

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