Higher-order Matching in the Linear lambda-calculus with Pairing

Philippe de Groote 1 Sylvain Salvati 1
1 CALLIGRAMME - Linear logic, proof networks and categorial grammars
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We prove that higher-order matching in the linear $\lambda$-calculus with pairing is decidable. We also establish its NP-completeness under the assumption that the right-hand side of the equation to be solved is given in normal form.
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Conference papers
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https://hal.inria.fr/inria-00100082
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Submitted on : Tuesday, September 26, 2006 - 10:13:58 AM
Last modification on : Thursday, January 11, 2018 - 6:19:48 AM

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Philippe de Groote, Sylvain Salvati. Higher-order Matching in the Linear lambda-calculus with Pairing. 18th International Workshop on Computer Science Logic - CSL'2004, Sep 2004, Karpacz, Poland, pp.220-234. ⟨inria-00100082⟩

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