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International Colloquium on Automata, Languages, and Programming

ICALP 2011: Automata, Languages and Programming pp 441–452Cite as

Multiply-Recursive Upper Bounds with Higman’s Lemma

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6756))

Abstract

We develop a new analysis for the length of controlled bad sequences in well-quasi-orderings based on Higman’s Lemma. This leads to tight multiply-recursive upper bounds that readily apply to several verification algorithms for well-structured systems.

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Authors and Affiliations

  1. LSV, ENS Cachan & CNRS, Cachan, France

    S. Schmitz & Ph. Schnoebelen

Authors
  1. S. Schmitz
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  2. Ph. Schnoebelen
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Editor information

Editors and Affiliations

  1. ICE-TCS, School of Computer Science, Reykjavik University, Menntavegur 1, IS 101, Reykjavik, Iceland

    Luca Aceto

  2. Fakultät für Informatik, Universität Wien, Universitätsstraße10/9, 1090, Wien, Österreich, Austria

    Monika Henzinger

  3. Department of Applied Mathematics, Charles University, Malostranské nám. 25, 118 00, Praha 1, Czech Republic

    Jiří Sgall

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© 2011 Springer-Verlag Berlin Heidelberg

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Schmitz, S., Schnoebelen, P. (2011). Multiply-Recursive Upper Bounds with Higman’s Lemma. In: Aceto, L., Henzinger, M., Sgall, J. (eds) Automata, Languages and Programming. ICALP 2011. Lecture Notes in Computer Science, vol 6756. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22012-8_35

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  • DOI: https://doi.org/10.1007/978-3-642-22012-8_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22011-1

  • Online ISBN: 978-3-642-22012-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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