Call-by-name, call-by-value, call-by-need and the linear lambda calculus

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Call-by-name, Call-by-value, Call-by-need and the Linear lambda Calculus

To appear in Theoretical Computer Science, special issue on papers presented at MFPS’95. J. Maraist a, M. Odersky a, D.N. Turner b and P. Wadler c a School of Computer and Information Science, University of South Australia, Warrendi Road, The Levels, South Australia 5095, Australia. Email, fmaraist,[email protected]. b An Teallach Limited, Technology Transfer Centre, Kings Buildings, Ma...

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Call-by-Name, Call-by-Value and the lambda-Calculus

This paper examines the old question of the relationship between ISWIM and the &calculus, using the distinction between call-by-value and call-by-name. It is held that the relationship should be mediated by a standardisation theorem. :3ince this leads to difficulties, a new &calcu%~s is introduced whose standardisation theorem gives a good correspondence with ISWIM a-; given by the SECT machine...

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Call - by - name , call - by - value , call - by - need , and the linear

Girard described two translations of intuitionistic logic into linear logic, one where A ! B maps to (!A) ? B, and another where it maps to !(A ? B). We detail the action of these translations on terms, and show that the rst corresponds to a call-by-name calculus, while the second corresponds to call-by-value. We further show that if the target of the translation is taken to be an aane calculus...

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Call-by-value, call-by-name and the vectorial behaviour of the algebraic \lambda-calculus

We examine the relationship between the algebraic λ-calculus, a fragment of the differential λ-calculus and the linear-algebraic λ-calculus, a candidate λ-calculus for quantum computation. Both calculi are algebraic: each one is equipped with an additive and a scalarmultiplicative structure, and their set of terms is closed under linear combinations. However, the two languages were built using ...

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lambda-µ-Calculus and Duality: Call-by-Name and Call-by-Value

Under the extension of Curry-Howard’s correspondence to classical logic, Gentzen’s NK and LK systems can be seen as syntaxdirected systems of simple types respectively for Parigot’s λμ-calculus and Curien-Herbelin’s λ̄μμ̃-calculus. We aim at showing their computational equivalence. We define translations between these calculi. We prove simulation theorems for an undirected evaluation as well as f...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 1999

ISSN: 0304-3975

DOI: 10.1016/s0304-3975(98)00358-2