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26 April 2024
 
  » arxiv » 1004.1077

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SMT-based Bounded Model Checking with Difference Logic Constraints
Marcello M. Bersani ; Achille Frigeri ; Angelo Morzenti ; Matteo Pradella ; Matteo Rossi ; Pierluigi San Pietro ;
Date 7 Apr 2010
AbstractTraditional Bounded Model Checking (BMC) is based on translating the model checking problem into SAT, the Boolean satisfiability problem. This paper introduces an encoding of Linear Temporal Logic with Past operators (PLTL) into the Quantifier-Free Difference Logic with Uninterpreted Functions (QF-UFIDL). The resulting encoding is a simpler and more concise version of existing SATbased encodings, currently used in BMC. In addition, we present an extension of PLTL augmented with arithmetic relations over integers, which can express unbounded counters; as such, the extended logic is more expressive than PLTL. We introduce suitable restrictions and assumptions that are shown to make the verification problem for the extended logic decidable, and we define an encoding of the new logic into QF-UFIDL. Finally, a performance comparison with the SAT-based approach on purely PLTL examples shows significant improvements in terms of both execution time and memory occupation.
Source arXiv, 1004.1077
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