Detail publikace

Accelerating Interpolants

IOSIF, R. HOJJAT, H. KONEČNÝ, F. KUNCAK, V. RUMMER, P.

Originální název

Accelerating Interpolants

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

integer programs, verification, reachability analysis, acceleration, predicate abstraction, interpolation

Autoři

IOSIF, R.; HOJJAT, H.; KONEČNÝ, F.; KUNCAK, V.; RUMMER, P.

Rok RIV

2012

Vydáno

31. 7. 2012

Nakladatel

Springer Verlag

ISSN

0302-9743

Periodikum

Lecture Notes in Computer Science

Ročník

2012

Číslo

7561

Stát

Spolková republika Německo

Strany od

187

Strany do

202

Strany počet

16

BibTex

@article{BUT97017,
  author="Iosif {Radu} and Hossein {Hojjat} and Filip {Konečný} and Viktor {Kuncak} and Philipp {Rummer}",
  title="Accelerating Interpolants",
  journal="Lecture Notes in Computer Science",
  year="2012",
  volume="2012",
  number="7561",
  pages="187--202",
  issn="0302-9743"
}