Controlling Polyvariance for Specialization-based Verification

  • Authors:

  • Fabio Fioravanti;Alberto Pettorossi;Maurizio Proietti;Valerio Senni

  • Affiliations:

  • University of Chieti-Pescara, Viale Pindaro 42, 65127 Pescara, Italy. fioravanti@sci.unich.it;University of Rome Tor Vergata, Via del Politecnico 1, 00133 Rome, Italy. pettorossi@disp.uniroma2.it;IASI-CNR, Viale Manzoni 30, 00185 Rome, Italy. maurizio.proietti@iasi.cnr.it;IMT Institute for Advanced Studies Lucca, Piazza San Ponziano 6, 55100 Lucca, Italy. valerio.senni@imtlucca.it

  • Venue:
  • Fundamenta Informaticae - Special Issue on the Italian Conference on Computational Logic: CILC 2011
  • Year:
  • 2013

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Abstract

Program specialization has been proposed as a means of improving constraint-based analysis of infinite state reactive systems. In particular, safety properties can be specified by constraint logic programs encoding backward or forward reachability algorithms. These programs are then transformed, before their use for checking safety, by specializing them with respect to the initial states in the case of backward reachability or with respect to the unsafe states in the case of forward reachability. By using the specialized reachability programs, we can considerably increase the number of successful verifications. An important feature of specialization algorithms is the so called polyvariance, that is, the number of specialized variants of the same predicate that are introduced by specialization. Depending on this feature, the specialization time, the size of the specialized program, and the number of successful verifications may vary. We present a specialization framework which is more general than previous proposals and provides control on polyvariance. We demonstrate, through experiments on several infinite state reactive systems, that by a careful choice of the degree of polyvariance we can design specialization-based verification procedures that are both efficient and precise.