Journal article

IOSIF Radu, HOJJAT Hossein, KONEČNÝ Filip, KUNCAK Viktor and RUMMER Philipp. Accelerating Interpolants. Lecture Notes in Computer Science. 2012, vol. 2012, no. 7561, pp. 187-202. ISSN 0302-9743.
Publication language:english
Original title:Accelerating Interpolants
Title (cs):Akcelerované interpolanty
Pages:187-202
Book:Proceedings of ATVA'12
Place:DE
Year:2012
Journal:Lecture Notes in Computer Science, Vol. 2012, No. 7561, DE
ISSN:0302-9743
Publisher:Springer Verlag
Keywords
integer programs, verification, reachability analysis, acceleration, predicate abstraction, interpolation
Annotation
We present Counterexample-Guided Accelerated Abstraction Refinement (CEGAAR), a new algorithm for verifying infinite-state transition systems. CEGAAR combines interpolation-based predicate discovery in counterexampleguided predicate abstraction with acceleration technique for computing the transitive closure of loops. CEGAAR applies acceleration to dynamically discovered looping patterns in the unfolding of the transition system, and combines overapproximation with underapproximation. It constructs inductive invariants that rule out an infinite family of spurious counterexamples, alleviating the problem of divergence in predicate abstraction without losing its adaptive nature. We present theoretical and experimental justification for the effectiveness of CEGAAR, showing that inductive interpolants can be computed from classical Craig interpolants and transitive closures of loops. We present an implementation of CEGAAR that verifies integer transition systems. We show that the resulting implementation robustly handles a number of difficult transition systems that cannot be handled using interpolation-based predicate abstraction or acceleration alone.
BibTeX:
@ARTICLE{
   author = {Radu Iosif and Hossein Hojjat and Filip Kone{\v{c}}n{\'{y}}
	and Viktor Kuncak and Philipp Rummer},
   title = {Accelerating Interpolants},
   pages = {187--202},
   booktitle = {Proceedings of ATVA'12},
   journal = {Lecture Notes in Computer Science},
   volume = {2012},
   number = {7561},
   year = {2012},
   publisher = {Springer Verlag},
   ISSN = {0302-9743},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php?id=10102}
}

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