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Abstract: We present a system of natural deduction and associated term calculus for intuitionistic non-commutative linear logic (INCLL) as a conservative extension of intuitionistic linear logic. We prove subject reduction and the existence of canonical forms in the implicational fragment. (Update)
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BibTeX entry: (Update)
Jeff Polakow and Frank Pfenning. Natural deduction for intuitionistic non-commutative linear logic. In J.-Y. Girard, editor, Proceedings of the Fourth International Conference on Typed Lambda Calculi and Applications (TLCA'99), l'Aquila, Italy, April 1999. Springer-Verlag LNCS. To appear. http://citeseer.ist.psu.edu/article/polakow99natural.html More
@inproceedings{ polakow99natural,
author = "Jeff Polakow and Frank Pfenning",
title = "Natural Deduction for Intuitionistic Non-Commutative Linear Logic",
booktitle = "Proceedings of the 4th International Conference on Typed Lambda Calculi and Applications ({TLCA}'99)",
publisher = "Springer-Verlag LNCS 1581",
address = "L'Aquila, Italy",
editor = "J.-Y. Girard",
pages = "295--309",
year = "1999",
url = "citeseer.ist.psu.edu/article/polakow99natural.html" }
Citations (may not include all citations):982 Theoretical Computer Science (context) - Girard - 1987 ACM
434 A framework for defining logics - Harper, Honsell et al. - 1993 ACM DBLP
340 Uniform proofs as a foundation for logic programming (context) - Miller, Nadathur et al. - 1991 ACM DBLP
257 Logic programming in a fragment of intuitionistic linear log.. - Hodas, Miller - 1991 ACM DBLP
248 The mathematics of sentence structure (context) - Lambek - 1958
233 Computational interpretations of linear logic - Abramsky - 1993 ACM DBLP
63 Logic Programming in Intuitionistic Linear Logic: Theory (context) - Hodas - 1994
43 Natural deduction for intuitionistic non-commutative linear .. - Polakow, Pfenning - 1999
38 Department of Computer Science (context) - Barber, Theories et al. - 1997
33 Relating natural deduction and sequent calculus for intuitio.. - Polakow, Pfenning - 1999
32 The practice of logical frameworks - Pfenning - 1996 ACM DBLP
30 ato and Frank Pfenning. A linear logical framework. Informat.. (context) - Cerves - 1999
30 Structural control (context) - Kurtonina, Moortgat - 1996 ACM
28 Eta-expansion in dependent type theory --- the Calculus of C.. - Ghani - 1997
27 The occurrence of continuation parameters in CPS terms - Danvy, Pfenning - 1995 ACM
25 Logique non-commutative et programmation concurrente par con.. (context) - Ruet - 1997
24 Science of Computer Programming (context) - Danvy, direct - 1994
18 Relations and non-commutative linear logic (context) - Brown, Gurr - 1991
13 Ordered linear logic programming - Polakow, Pfenning - 1998
12 Formalizing program transformations (context) - Dzafic - 1998
11 Non-commutative intuitionistic linear propositional logic (context) - Abrusci - 1990
6 Available as technical report MS-CIS-89-45 (context) - Pareschi, Language et al. - 1989
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