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On the Complexity of Entailment in Propositional Multivalued Logics (1997)  (Make Corrections)  (6 citations)
Marco Cadoli, Marco Schaerf
Annals of Mathematics and Artificial Intelligence



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Abstract: Multivalued logics have a long tradition in the philosophy and logic literature that originates from the work by / Lukaszewicz in the 20's. More recently, many AI researchers have been interested in this topic for both semantic and computational reasons. Multivalued logics have indeed been frequently used both for their semantic properties and as tools for designing tractable reasoning systems. We focus here on the computational aspects of multivalued logics. The main result of this paper is a... (Update)

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.... lead to polynomial decision procedures and results of this kind were used in knowledge representation [46] An overview of related results is [16]. The NP complete satisfiability problems for regular formulas and Regular DPL exhibit the phase transition phenomena encountered in...

.... in [ Cadoli and Schaerf, 1995 ] for formulas in negation normal form, but is not extendable to formulas in arbitrary forms [ Cadoli and Schaerf, 1996 ] The good point of Schaerf and Cadoli s systems is that they present an incremental algorithm to test for S i entailment as...

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0.7:   Tractable Reasoning via Approximation - Schaerf, Cadoli (1995)   (Correct)
0.7:   Approximate Inference in Default Logic and Circumscription - Cadoli, Schaerf (1992)   (Correct)
0.2:   Knowledge Compilation and Theory Approximation - Selman, Kautz (1996)   (Correct)

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0.3:   Discovery of Multivalued Dependencies from Relations - Savnik, Flach (2000)   (Correct)
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4:   Entailment: The Logic of Relevance and Necessity (context) - Anderson, Belnap - 1975
3:   Approximate inference in default logic and circumscription - Cadoli, Schaerf - 1992
3:   Tractable reasoning via approximation - Schaerf, Cadoli - 1995

BibTeX entry:   (Update)

M. Cadoli and M. Schaerf. On the complexity of entailment in propositional multivalued logics. Annals of Mathematics and Artificial Intelligence, 18(1):29--50, 1997. http://citeseer.ist.psu.edu/cadoli97complexity.html   More

@article{ cadoli96complexity,
    author = "Marco Cadoli and Marco Schaerf",
    title = "On the complexity of Entailment in Propositional Multivalued Logics",
    journal = "Annals of Mathematics and Artificial Intelligence",
    volume = "18",
    number = "1",
    pages = "29-50",
    year = "1996",
    url = "citeseer.ist.psu.edu/cadoli97complexity.html" }
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534   The complexity of theorem-proving procedures (context) - Cook - 1971
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30   A four-valued semantics for terminological logic (context) - Patel-Schneider - 1989
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5   Approximate reasoning and non-omniscient agents (context) - Cadoli, Schaerf - 1992

Documents on the same site (http://hermes.dis.uniroma1.it/~schaerf/publications.html):   More
Tractable Reasoning via Approximation - Schaerf, Cadoli (1995)   (Correct)
A Survey on Complexity Results for Non-monotonic Logics - Cadoli, Schaerf (1993)   (Correct)
Negation And Minimality In Disjunctive Databases - Schaerf (1995)   (Correct)

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