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Complexity of Coverability in Depth-Bounded Processes

Author A. R. Balasubramanian

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Author Details

A. R. Balasubramanian
  • Technische Universität München, Germany

Funding

  • Balasubramanian, A. R.: Supported by funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme under grant agreement No 787367 (PaVeS).

Acknowledgements

I am grateful to the reviewers and Prof. Javier Esparza for their useful comments and suggestions.

Cite As Get BibTex

A. R. Balasubramanian. Complexity of Coverability in Depth-Bounded Processes. In 33rd International Conference on Concurrency Theory (CONCUR 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 243, pp. 17:1-17:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022) https://doi.org/10.4230/LIPIcs.CONCUR.2022.17

Abstract

We consider the class of depth-bounded processes in π-calculus. These processes are the most expressive fragment of π-calculus, for which verification problems are known to be decidable. The decidability of the coverability problem for this class has been achieved by means of well-quasi orders. (Meyer, IFIP TCS 2008; Wies, Zufferey and Henzinger, FoSSaCS 2010). However, the precise complexity of this problem has not been known so far, with only a known EXPSPACE-lower bound.
In this paper, we prove that coverability for depth-bounded processes is 𝐅_ε₀-complete, where 𝐅_ε₀ is a class in the fast-growing hierarchy of complexity classes. This solves an open problem mentioned by Haase, Schmitz, and Schnoebelen (LMCS, Vol 10, Issue 4) and also addresses a question raised by Wies, Zufferey and Henzinger (FoSSaCS 2010).

Subject Classification

ACM Subject Classification
  • Theory of computation → Problems, reductions and completeness
  • Theory of computation → Distributed computing models
Keywords
  • π-calculus
  • Depth-bounded processes
  • Fast-growing complexity classes

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