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Reachability Problem for Weak Multi-Pushdown Automata

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CONCUR 2012 – Concurrency Theory (CONCUR 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7454))

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Abstract

This paper is about reachability analysis in a restricted subclass of multi-pushdown automata: we assume that the control states of an automaton are partially ordered, and all transitions of an automaton go downwards with respect to the order. We prove decidability of the reachability problem, and computability of the backward reachability set. As the main contribution, we identify relevant subclasses where the reachability problem becomes NP-complete. This matches the complexity of the same problem for communication-free vector addition systems (known also as commutative context-free graphs), a special case of stateless multi-pushdown automata.

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Authors and Affiliations

  1. Institute of Informatics, University of Warsaw, Poland

    Wojciech Czerwiński, Piotr Hofman & Sławomir Lasota

Authors
  1. Wojciech Czerwiński
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  2. Piotr Hofman
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  3. Sławomir Lasota
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Editor information

Editors and Affiliations

  1. School of Computing Science, Newcastle University, Claremont Tower, Claremont Road, NE1 7RU, Newcastle upon Tyne, UK

    Maciej Koutny

  2. Department of Computer Science, University of Leicester, Computer Science Building, University Road, LE1 7RH, Leicester, UK

    Irek Ulidowski

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Czerwiński, W., Hofman, P., Lasota, S. (2012). Reachability Problem for Weak Multi-Pushdown Automata. In: Koutny, M., Ulidowski, I. (eds) CONCUR 2012 – Concurrency Theory. CONCUR 2012. Lecture Notes in Computer Science, vol 7454. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32940-1_6

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  • DOI: https://doi.org/10.1007/978-3-642-32940-1_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32939-5

  • Online ISBN: 978-3-642-32940-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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