When model-checking freeze LTL over counter machines becomes decidable

  • Authors:
  • Stéphane Demri;Arnaud Sangnier

  • Affiliations:
  • LSV, ENS Cachan, CNRS, INRIA Saclay IdF, France;Dipartimento di Informatica, Università di Torino, Italy

  • Venue:
  • FOSSACS'10 Proceedings of the 13th international conference on Foundations of Software Science and Computational Structures
  • Year:
  • 2010

Quantified Score

Hi-index 0.00

Visualization

Abstract

We study the decidability status of model-checking freeze LTL over various subclasses of counter machines for which the reachability problem is known to be decidable (reversal-bounded counter machines, vector additions systems with states, flat counter machines, one-counter machines). In freeze LTL, a register can store a counter value and at some future position an equality test can be done between a register and a counter value. Herein, we complete an earlier work started on one-counter machines by considering other subclasses of counter machines, and especially the class of reversal-bounded counter machines. This gives us the opportuniy to provide a systematic classification that distinguishes determinism vs. nondeterminism and we consider subclasses of formulae by restricting the set of atomic formulae or/and the polarity of the occurrences of the freeze operators, leading to the flat fragment.