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Abstract: . In this paper we consider the problem of deriving a term assignment system for Girard's Intuitionistic Linear Logic for both the sequent calculus and natural deduction proof systems. Our system differs from previous calculi (e.g. that of Abramsky [1]) and has two important properties which they lack. These are the substitution property (the set of valid deductions is closed under substitution) and subject reduction (reduction on terms is well-typed). We also consider term reduction arising... (Update)
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29: Theoretical Computer Science (context) - Girard - 1987
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BibTeX entry: (Update)
P. N. Benton, G. M. Bierman, J. M. E. Hyland, and V. C. V. de Paiva. A term calculus for intuitionistic linear logic. In M. Bezem and J. F. Groote, editors, Proceedings of the International Conference on Typed Lambda Calculi and Applications, volume 664 of Lecture Notes in Computer Science. Springer-Verlag, 1993. http://citeseer.ist.psu.edu/benton93term.html More
@incollection{ benton93term,
author = "Nick Benton and Gavin Bierman and Valeria {de Paiva} and Martin Hyland",
title = "A Term Calculus for Intuitionistic Linear Logic",
booktitle = "Proceedings Intl.\ Conf.\ on Typed Lambda Calculi and Applications, {TLCA}'93, Utrecht, The Netherlands, 16--18 March 1993",
volume = "664",
publisher = "Springer-Verlag",
address = "Berlin",
editor = "M. Bezem and J. F. Groote",
pages = "75--90",
year = "1993",
url = "citeseer.ist.psu.edu/benton93term.html" }
Citations (may not include all citations):233 Computational interpretations of linear logic - Abramsky - 1990
215 Theoretical Computer Science (context) - Girard - 1987
62 The Collected Papers of Gerhard Gentzen (context) - Szabo - 1969
51 Operational aspects of linear lambda calculus - Lincoln, Mitchell - 1992
47 volume 7 of Cambridge Tracts in Theoretical Computer Science (context) - Girard, Lafont et al. - 1989
47 Lilac: A functional programming language based on linear log.. (context) - Mackie - 1991
46 Term assignment for intuitionistic linear logic (context) - Benton, Bierman et al. - 1992
20 A natural extension of natural deduction (context) - Schroeder-Heister - 1984
15 Linear logic and interference control (context) - O'Hearn - 1991
8 volume 3 of Stockholm Studies in Philosophy (context) - Prawitz - 1965
7 This article was processed using the L a T E X macro package.. (context) - Wadler, substitute et al. - 1991
3 Bounded linear logic: A modular approach to polynomial time .. (context) - Girard, Scedrov et al. - 1992
The graph only includes citing articles where the year of publication is known.
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