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Effective longest and infinite reduction paths in untyped λ-calculi

Identifieur interne : 002811 ( Main/Exploration ); précédent : 002810; suivant : 002812

Effective longest and infinite reduction paths in untyped λ-calculi

Auteurs : Heine S Rensen [Pays-Bas, Danemark]

Source :

RBID : ISTEX:DD60B3F5D5F503F06AF92306746716D902DE2DD6

Abstract

Abstract: A maximal reduction strategy in untyped λ-calculus computes for a term a longest (finite or infinite) reduction path. Some types of reduction strategies in untyped λ-calculus have been studied, but maximal strategies have received less attention. We give a systematic study of maximal strategies, recasting the few known results in our framework and giving a number of new results, the most important of which is an effective maximal strategy in λΒη. We also present a number of applications illustrating the relevance and usefulness of maximal strategies.

Url:
DOI: 10.1007/3-540-61064-2_44


Affiliations:


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


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