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International Conference on Automated Deduction

CADE 2007: Automated Deduction – CADE-21 pp 1–2Cite as

Games, Automata and Matching

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4603))

Abstract

Higher-order matching is the problem given t = u where t, u are terms of simply typed λ-calculus and u is closed, is there a substitution θ such that t θ and u have the same normal form with respect to βη-equality: can t be pattern matched to u? The problem was conjectured to be decidable by Huet [4]. Loader showed that it is undecidable when β-equality is the same normal form by encoding λ-definability as matching [6].

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References

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Authors and Affiliations

  1. School of Informatics, University of Edinburgh,  

    Colin Stirling

Authors
  1. Colin Stirling
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Frank Pfenning

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Stirling, C. (2007). Games, Automata and Matching. In: Pfenning, F. (eds) Automated Deduction – CADE-21. CADE 2007. Lecture Notes in Computer Science(), vol 4603. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73595-3_1

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  • DOI: https://doi.org/10.1007/978-3-540-73595-3_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73594-6

  • Online ISBN: 978-3-540-73595-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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