(Enter summary)
Abstract: The decision problem is studied for the nonmodal or multiplicative-additive
fragment of first order linear logic. This fragment is shown to be nexptime-
hard. The hardness proof combines Shapiro's logic programming simulation
of nondeterministic Turing machines with the standard proof of the pspace-
hardness of quantified boolean formula validity, utilizing some of the surprisingly
powerful and expressive machinery of linear logic.
1 Introduction
Linear logic, introduced by Girard, is a... (Update)
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BibTeX entry: (Update)
P. Lincoln and A. Scedrov. First order linear logic without modalities is NEXPTIME-hard. Theoretical Computer Science, 135:139--154, 1994. http://citeseer.ist.psu.edu/article/lincoln94first.html More
@article{ lincoln94firstorder,
author = "P. Lincoln and A. Scedrov",
title = "First-order linear logic without modalities is {NEXPTIME}-hard",
journal = "Theoretical Computer Science",
volume = "135",
number = "1",
pages = "139--153",
year = "1994",
url = "citeseer.ist.psu.edu/article/lincoln94first.html" }
Citations (may not include all citations):
1911
Introduction to Automata Theory (context) - Hopcroft, Ullman - 1979
982
Theoretical Computer Science (context) - Girard - 1987 ACM
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Computational Complexity (context) - Papadimitriou - 1994 ACM
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concurrent constraint programming (context) - Saraswat, Lincoln et al. - 1993 ACM DBLP
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Linear objects: Logical processes with built-in inheritance
- Andreoli, Pareschi - 1991 ACM
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Decision problems for propositional linear logic
- Lincoln, Mitchell et al. - 1992
63
A brief guide to linear logic
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53
Center for the Study of Language and Information (context) - Troelstra, Linear et al. - 1992
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Horn programming in linear logic is NP-complete (context) - Kanovich - 1992 DBLP
34
Constant-Only Multiplicative Linear Logic is NP-Complete
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32
Classifying the computational complexity of problems (context) - Stockmeyer - 1987 DBLP
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Proof search in the intuitionistic sequent calculus
- Shankar - 1992 ACM DBLP
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Proof search in first order linear logic and other cut free ..
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Linearizing intuitionistic implication
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Alternation and the computational complexity of logic progra.. (context) - Shapiro - 1984 ACM DBLP
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