Safety Verification of Communicating One-Counter Machines

Authors Alexander Heußner, Tristan Le Gall, Grégoire Sutre



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Author Details

Alexander Heußner
Tristan Le Gall
Grégoire Sutre

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Alexander Heußner, Tristan Le Gall, and Grégoire Sutre. Safety Verification of Communicating One-Counter Machines. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2012). Leibniz International Proceedings in Informatics (LIPIcs), Volume 18, pp. 224-235, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2012)
https://doi.org/10.4230/LIPIcs.FSTTCS.2012.224

Abstract

In order to verify protocols that tag messages with integer values, we investigate the decidability of the reachability problem for systems of communicating one-counter machines. These systems consist of local one-counter machines that asynchronously communicate by exchanging the value of their counters via, a priori unbounded, FIFO channels. This model extends communicating finite-state machines (CFSM) by infinite-state local processes and an infinite message alphabet. The main result of the paper is a complete characterization of the communication topologies that have a solvable reachability question. As already CFSM exclude the possibility of automatic verification in presence of mutual communication, we also consider an under-approximative approach to the reachability problem, based on rendezvous synchronization.
Keywords
  • Counter Machines
  • FIFO Channels
  • Reachability Problem
  • Data Words

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