Compositional Termination Analysis of Symbolic Forward Analysis

  • Authors:
  • Witold Charatonik;Supratik Mukhopadhyay;Andreas Podelski

  • Affiliations:
  • -;-;-

  • Venue:
  • VMCAI '02 Revised Papers from the Third International Workshop on Verification, Model Checking, and Abstract Interpretation
  • Year:
  • 2002

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Abstract

Existing model checking tools for infinite state systems, such as UPPAAL, HYTECH and KRONOS, use symbolic forward analysis, a possibly nonterminating procedure. We give termination criteria that allow us to reason compositionally about systems defined with asynchronous parallel composition; we can prove the termination of symbolic forward analysis for a composed system from the syntactic conditions satisfied by the component systems.Our results apply to nonlinear hybrid systems; in particular to rectangular hybrid systems, timed automata and o-minimal systems. In the case of integer-valued systems we give negative results: forward analysis is not well-suited for this class of infinite-state systems.