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Verification of Flat FIFO Systems

Authors Alain Finkel, M. Praveen

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Author Details

Alain Finkel
  • LSV, ENS Paris-Saclay, CNRS, Université Paris-Saclay, France
  • UMI ReLaX, French-Indian research laboratory in computer sciences, Chennaï, India
M. Praveen
  • Chennai Mathematical Institute, India
  • UMI ReLaX, French-Indian research laboratory in computer sciences, Chennaï, India

Funding

The work reported was carried out in the framework of ReLaX, UMI2000 (ENS Paris-Saclay, CNRS, Univ. Bordeaux, CMI, IMSc). This work was also supported by the grant ANR-17-CE40-0028 of the French National Research Agency ANR (project BRAVAS).
  • Praveen, M.: Partially supported by a grant from the Infosys foundation.

Cite As Get BibTex

Alain Finkel and M. Praveen. Verification of Flat FIFO Systems. In 30th International Conference on Concurrency Theory (CONCUR 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 140, pp. 12:1-12:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019) https://doi.org/10.4230/LIPIcs.CONCUR.2019.12

Abstract

The decidability and complexity of reachability problems and model-checking for flat counter systems have been explored in detail. However, only few results are known for flat FIFO systems, only in some particular cases (a single loop or a single bounded expression). We prove, by establishing reductions between properties, and by reducing SAT to a subset of these properties that many verification problems like reachability, non-termination, unboundedness are NP-complete for flat FIFO systems, generalizing similar existing results for flat counter systems. We construct a trace-flattable counter system that is bisimilar to a given flat FIFO system, which allows to model-check the original flat FIFO system. Our results lay the theoretical foundations and open the way to build a verification tool for (general) FIFO systems based on analysis of flat subsystems.

Subject Classification

ACM Subject Classification
  • Theory of computation → Parallel computing models
Keywords
  • Infinite state systems
  • FIFO
  • counters
  • flat systems
  • reachability
  • termination
  • complexity

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