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How an agent might think

Logic Journal of the IGPL 21 (3):515-535 (2013)

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  1. Logical foundations and complexity of 4QL, a query language with unrestricted negation.Jan Maluszyński & Andrzej Szalas - 2011 - Journal of Applied Non-Classical Logics 21 (2):211-232.
    The paper discusses properties of 4QL, a DATALOG⌉⌉-like query language, originally outlined by Maluszyński and Szalas (Maluszyński & Szalas, 2011). 4QL allows one to use rules with negation in heads and bodies of rules. It is based on a simple and intuitive semantics and provides uniform tools for “lightweight” versions of known forms of nonmonotonic reasoning. Negated literals in heads of rules may naturally lead to inconsistencies. On the other hand, rules do not have to attach meaning to some literals. (...)
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  • A useful four-valued logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein (eds.), Modern Uses of Multiple-Valued Logic. D. Reidel.
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  • Knowledge and belief.Jaakko Hintikka - 1962 - Ithaca, N.Y.,: Cornell University Press.
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  • How a computer should think.Nuel Belnap - 1977 - In Gilbert Ryle (ed.), Contemporary aspects of philosophy. Boston: Oriel Press.
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  • The logic of paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
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  • Author’s response to Wansing and Belnap’s Generalized truth-values.Didier Dubois - 2010 - Logic Journal of the IGPL 18 (6):936-940.
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  • The value of the four values.Ofer Arieli & Arnon Avron - 1998 - Artificial Intelligence 102 (1):97-141.
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  • (1 other version)Many-Valued Logic. [REVIEW]Elliott Mendelson - 1970 - Journal of Philosophy 67 (13):457-458.
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  • Reasoning with Logic Programming.José Júlio Alferes & Luís Moniz Pereira - 2001 - Studia Logica 67 (1):118-120.
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  • Generalized truth values.: A reply to Dubois.Heinrich Wansing & Nuel Belnap - 2010 - Logic Journal of the IGPL 18 (6):921-935.
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  • Motivation and demotivation of a four-valued logic.John Fox - 1989 - Notre Dame Journal of Formal Logic 31 (1):76-80.
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  • On Ignorance and Contradiction Considered as Truth-Values.Didier Dubois - 2008 - Logic Journal of the IGPL 16 (2):195-216.
    A critical view of the alleged significance of Belnap four-valued logic for reasoning under inconsistent and incomplete information is provided. The difficulty lies in the confusion between truth-values and information states, when reasoning about Boolean propositions. So our critique is along the lines of previous debates on the relevance of many-valued logics and especially of the extension of the Boolean truth-tables to more than two values as a tool for reasoning about uncertainty. The critique also questions the significance of partial (...)
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