InforLorV4, Hal, Curation, bibRecord, 002F17

Linear higher-order matching is NP-complete

Identifieur interne : 002F17 ( Hal/Curation ); précédent : 002F16; suivant : 002F18

Linear higher-order matching is NP-complete

Auteurs : Philippe De Groote [France]

Source :

RBID : Hal:inria-00099220

English descriptors

mix :
- filtrage, matching.

Abstract

We consider the problem of higher-order matching restricted to the set of linear lambda-terms (i.e., lambda-terms where each abstraction (lambda x. M) is such that there is exactly one free occurrence of x in M). We prove that this problem is decidable by showing that it belongs to NP. Then we prove that this problem is in fact NP-complete. Finally, we discuss some heuristics for a practical algorithm.

Url:

https://hal.inria.fr/inria-00099220

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<front><div type="abstract" xml:lang="en">We consider the problem of higher-order matching restricted to the set of linear lambda-terms (i.e., lambda-terms where each abstraction (lambda x. M) is such that there is exactly one free occurrence of x in M). We prove that this problem is decidable by showing that it belongs to NP. Then we prove that this problem is in fact NP-complete. Finally, we discuss some heuristics for a practical algorithm.</div>
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Linear higher-order matching is NP-complete

Linear higher-order matching is NP-complete

Source :

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri