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1Up Science: Links Directory: Math: Logic and Foundations: Nonstandard Logics and Extensions: Substructural Logics: Linear Logic


Categories


Proofs as Processes


Sites

Applications of Linear Logic to Computation (1993)
Survey article by Vladimir Alexiev providing an overview of existing applications of Linear Logic to issues of computation. Discusses implications of the theory in several fields of theoretical computer science, such as functional programming, and the correct treatment of negation in logic programming.

A Brief Introduction to Linear Logic
A very short introduction page, maintained at Nakanashi Laboratory.

Chu Spaces
Site created by Vaughan Pratt. Chu spaces provide a rich class of model for linear logic.

Chu Spaces from the Representational Viewpoint
Tutorial article by Vaughan Pratt.

Computational Interpretations of Linear Logic (1993)
Article by Samson Abramsky which proposes a formulae-as-types correspondence first for intuitionsitic linear logic, and then for classical linear logic.

Flow Analysis in the Geometry of Interaction
Article by Thomas Jensen, who draws a connection between program analysis and linear logic.

The Linear Logic Pages
An overview of the current knowledge in Linear Logic, compiled by Yves Lafont.

Linear Logic Primer
Introductory course on linear logic by Vincent Danos and Roberto Di Cosmo.

Linear Logic Semantics
A long reply by Vaughan Pratt to a question on the linear logic mailing list by the late Jon Barwise.

A New Deconstructive Logic: Linear Logic (1997)
Article by V. Danos, J.-B. Joinet and H. Schellinx outlining how linear logic can function as a `mark-up logic' allowing the embedding of a large class of logics in a manner that respects their underlying proof semantics (cf. Nuel Belnap's Display Logic).

Phil Wadler's Linear Logic Publications
Includes his tutorial paper "A taste of linear logic".

Seminar on Linear Logic and Applications
Organised by Frank Pfenning at Carnegie-Mellon.



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