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Open AccessJournal ArticleDOI

Linear logic

Jean-Yves Girard
- Vol. 50, Iss: 1, pp 1
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The article was published on 1987-01-30 and is currently open access. It has received 3947 citations till now. The article focuses on the topics: Affine logic & Substructural logic.

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Journal ArticleDOI

Polyadic approximations, fibrations and intersection types

TL;DR: This work develops a general framework for building systems of intersection types characterizing normalization properties and shows how this construction allows us to recover equivalent versions of every well known intersection type system.
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The language X : circuits, computations and classical logic

TL;DR: It is shown how, even in an untyped setting, χ can faithfully embed algebraic objects and elaborate calculi, like the naturals, the λ-calculus, Bloe and Rose's calculus of explicit substitutions λx, and Parigot’s λμ.
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High Level Specification of I/O in Functional Languages

TL;DR: A new solution for the I/O problem which is incorporated in the language Concurrent Clean and can in principle be applied for any other functional language as well provided that it actually uses graph rewriting semantics in the implementation.
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Logic Programming and Multi-Agent Systems: A Synergic Combination for Applications and Semantics

TL;DR: This paper presents an ongoing research project that uses Logic Programming, Linear Logic programming, and their related techniques for executable specifications and rapid prototyping of Multi-Agent Systems.
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Local possibilistic logic

TL;DR: An algebraic semantics is presented which links possibilistic formulae with information states, and gives a natural interpretation of logical connectives as operations on fuzzy sets, to obtain a system which shares several features with (exponential-free) intuitionistic linear logic.