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First Order Linear Logic without Modalities is NEXPTIME-Hard (1994)  (Make Corrections)  (21 citations)
Patrick Lincoln, Andre Scedrov
Theoretical Computer Science



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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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16:   Theoretical Computer Science (context) - Girard - 1987
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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
951   Computational Complexity (context) - Papadimitriou - 1994  ACM
344   concurrent constraint programming (context) - Saraswat, Lincoln et al. - 1993  ACM   DBLP
223   Linear objects: Logical processes with built-in inheritance - Andreoli, Pareschi - 1991  ACM
96   Decision problems for propositional linear logic - Lincoln, Mitchell et al. - 1992
63   A brief guide to linear logic - Scedrov - 1993  DBLP
53   Center for the Study of Language and Information (context) - Troelstra, Linear et al. - 1992
39   Horn programming in linear logic is NP-complete (context) - Kanovich - 1992  DBLP
34   Constant-Only Multiplicative Linear Logic is NP-Complete - Lincoln, Winkler - 1992  ACM   DBLP
32   Classifying the computational complexity of problems (context) - Stockmeyer - 1987  DBLP
32   Proof search in the intuitionistic sequent calculus - Shankar - 1992  ACM   DBLP
26   Proof search in first order linear logic and other cut free .. - Lincoln, Shankar - 1994
20   Logic programming with focusing proofs in linear logic (context) - Andreoli - 1992  DBLP
19   Linearizing intuitionistic implication - Lincoln, Scedrov et al. - 1993  DBLP
18   Alternation and the computational complexity of logic progra.. (context) - Shapiro - 1984  ACM   DBLP
16   Computational Aspects of Linear Logic - Lincoln - 1992  ACM



The graph only includes citing articles where the year of publication is known.


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The Undecidability Of Second Order Linear Logic Without.. - Lafont (1995)   (Correct)
The Finite Model Property For Various Fragments Of Linear Logic - Lafont (1997)   (Correct)
Linear Continuations - Filinski (1992)   (Correct)

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