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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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Workshop on Database Programming Languages

TL;DR: These are the revised proceedings of the Workshop on Database Programming Languages held at Roscoff, Finistère, France in September of 1987, which brought together researchers from both databases and programming languages to discuss recent developments in the two areas in the hope of overcoming some of the obstacles that appear to prevent the construction of a uniform database programming environment.
Book ChapterDOI

Computability Logic: a formal theory of interaction

TL;DR: The present chapter contains a comprehensive yet relatively compact overview of this very recently introduced framework and research program, computability logic, written in a semitutorial style with general computer science, logic and mathematics audiences in mind.
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Relevant and Substructural Logics

Greg Restall
TL;DR: The chapter discusses how relevant logics are naturally counted as substructural logics, as certain commonly admitted structural rules are responsible for introducing irrelevant consequences into proofs.
Journal ArticleDOI

Genericity and the π-calculus

TL;DR: A second-order polymorphic π-calculus based on duality principles is introduced, building on type structures coming from typed ρ-calculi, Linear Logic and game semantics, and the proof combines process-theoretic reasoning with techniques from game semantics.
Journal ArticleDOI

Linear logic by levels and bounded time complexity

TL;DR: It turns out that Girard's systems can be recovered by forcing depth and level to coincide, and this fact is used to propose a variant of the polytime system in which the paragraph modality is only allowed on atoms, and which may serve as a basis for developing lambda-calculus type assignment systems with more efficient typing algorithms than existing ones.