The power of closed reduction strategies

S. Alves; M. Fernández; M. Florido; I. Mackie

The power of closed reduction strategies

S. Alves
, M. Fernández
, M. Florido
, I. Mackie

École Polytechnique

Department of Computer Science and LIACC
Ipatimup Diagnósticos
Department of Computer Science
King's College London

Résultats de recherche: Contribution à un journal › Article de conférence › Revue par des pairs

Résumé

Closed reduction strategies in the λ-calculus restrict the reduction rules: the idea is that reductions can only take place when certain terms are closed (i.e. do not contain free variables). This has lead to various applications, such as an α-conversion free calculus of explicit substitutions, and an efficient abstract machine. The main contribution of this paper is a new application of this strategy to a linear version of Gödel's System T. We show that a linear System T with closed reduction offers a huge increase in expressive power over the usual linear systems, which are 'closed by construction' rather than 'closed at reduction'.

langue originale	Anglais
Pages (de - à)	20-33
Nombre de pages	14
journal	Electronic Notes in Theoretical Computer Science
état	Publié - 1 déc. 2006
Evénement	6th International Workshop on Reduction Strategies in Rewriting and Programming, WRS 2006, as part of the Federated Logic Conference, FLoC 2006 - Seattle, WA, États-Unis Durée: 11 août 2006 → 11 août 2006

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title = "The power of closed reduction strategies",

abstract = "Closed reduction strategies in the λ-calculus restrict the reduction rules: the idea is that reductions can only take place when certain terms are closed (i.e. do not contain free variables). This has lead to various applications, such as an α-conversion free calculus of explicit substitutions, and an efficient abstract machine. The main contribution of this paper is a new application of this strategy to a linear version of G{\"o}del's System T. We show that a linear System T with closed reduction offers a huge increase in expressive power over the usual linear systems, which are 'closed by construction' rather than 'closed at reduction'.",

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journal = "Electronic Notes in Theoretical Computer Science",

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AU - Alves, S.

AU - Fernández, M.

AU - Florido, M.

AU - Mackie, I.

PY - 2006/12/1

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N2 - Closed reduction strategies in the λ-calculus restrict the reduction rules: the idea is that reductions can only take place when certain terms are closed (i.e. do not contain free variables). This has lead to various applications, such as an α-conversion free calculus of explicit substitutions, and an efficient abstract machine. The main contribution of this paper is a new application of this strategy to a linear version of Gödel's System T. We show that a linear System T with closed reduction offers a huge increase in expressive power over the usual linear systems, which are 'closed by construction' rather than 'closed at reduction'.

AB - Closed reduction strategies in the λ-calculus restrict the reduction rules: the idea is that reductions can only take place when certain terms are closed (i.e. do not contain free variables). This has lead to various applications, such as an α-conversion free calculus of explicit substitutions, and an efficient abstract machine. The main contribution of this paper is a new application of this strategy to a linear version of Gödel's System T. We show that a linear System T with closed reduction offers a huge increase in expressive power over the usual linear systems, which are 'closed by construction' rather than 'closed at reduction'.

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Y2 - 11 August 2006 through 11 August 2006

ER -

The power of closed reduction strategies

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