Download Abstraction Refinement for Large Scale Model Checking by Chao Wang PDF

By Chao Wang

Abstraction Refinement for giant Scale version Checking summarizes fresh examine on abstraction innovations for version checking huge electronic approach. contemplating either the scale of ultra-modern electronic structures and the capability of cutting-edge verification algorithms, abstraction is the single possible resolution for the winning program of version checking concepts to industrial-scale designs. This e-book describes contemporary learn advancements in automated abstraction refinement thoughts. The suite of algorithms awarded during this booklet has proven major development over past paintings; a few of them have already been followed by way of the EDA businesses of their commercial/in-house verification instruments.

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Conceptually, an SCO enumeration algorithm works as follows (here we take the algorithm in [XB99] as an example, for it is the simplest among the three and it serves as a stepping stone for understanding the other two). First, we pick an arbitrary state v as seed and compute both EFt' and EPt'. EFv consists of states that can reach v and EP-u consists of states reachable from V. We then intersect the two sets of states to get an SCO (and the intersection is guaranteed to be an SCO). If the SCC does not intersect with all the fair sets Fi G ^ , we remove it from the graph and pick another seed from the remaining graph.

For instance, a two-input and gate Uj with inputs ui and Ur has the following set of clauses: {ui V ~^Uj) A {ur V ~^Uj) A {-^ui V -^Ur VUn'J J Finally, we review a procedure used in many modern SAT solvers [SS96, MMZ+01, GN02] to decide the satisfiabihty of a CNF formula. A formula is satisfiable if and only if there exists a set of assignments to the variables that makes the formula true. It is clear that for the entire CNF formula to be satisfiable, each individual clause must also be satisfiable.

MD—^^> W^ A bounded model checking instance. Now, we explain how to convert the Boolean formula $ into the Conjunctive Normal Form (CNF). This step is necessary because in practice. 36 we often use an off-the-shelf Boolean SAT solver to decide $, and most of the modern SAT solvers accept the CNF input format. Furthermore, CNF is also adopted by many solvers as an efficient data structure for internal representation. A CNF formula is the conjunction of a set of clauses^ each of which is a disjunction of literals.

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