Algebraic Valuations as Behavioral Logical Matrices

DI Group Author

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

The newly developed behavioral approach to the algebraization of logics extends the applicability of the methods of algebraic logic to a wider range of logical systems, namely encompassing many-sorted languages and non-truth-functionality. However, where a logician adopting the traditional approach to algebraic logic finds in the notion of a logical matrix the most natural semantic companion, a correspondingly suitable tool is still lacking in the behavioral setting. Herein, we analyze this question and set the ground towards adopting an algebraic formulation of valuation semantics as the natural generalization of logical matrices to the behavioral setting, by establishing a few simple but promising results. For illustration, we will use da Costa?s paraconsistent logic C1.
Original languageUnknown
Title of host publicationLecture Notes in Artificial Intelligence
EditorsH Ono, M Kanazawa, Queiroz R de
Place of PublicationBerlin / Heidelberg
PublisherSpringer
Pages13-25
Volume5514/2009
ISBN (Print)978-3-642-02260-9
DOIs
Publication statusPublished - 1 Jan 2009
EventWoLLIC '09 Proceedings of the 16th International Workshop on Logic, Language, Information and Computation -
Duration: 1 Jan 2009 → …

Conference

ConferenceWoLLIC '09 Proceedings of the 16th International Workshop on Logic, Language, Information and Computation
Period1/01/09 → …

Cite this

DI Group Author (2009). Algebraic Valuations as Behavioral Logical Matrices. In H. Ono, M. Kanazawa, & Q. R. de (Eds.), Lecture Notes in Artificial Intelligence (Vol. 5514/2009, pp. 13-25). Berlin / Heidelberg: Springer. https://doi.org/10.1007/978-3-642-02261-6_2
DI Group Author. / Algebraic Valuations as Behavioral Logical Matrices. Lecture Notes in Artificial Intelligence. editor / H Ono ; M Kanazawa ; Queiroz R de. Vol. 5514/2009 Berlin / Heidelberg : Springer, 2009. pp. 13-25
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DI Group Author 2009, Algebraic Valuations as Behavioral Logical Matrices. in H Ono, M Kanazawa & QR de (eds), Lecture Notes in Artificial Intelligence. vol. 5514/2009, Springer, Berlin / Heidelberg, pp. 13-25, WoLLIC '09 Proceedings of the 16th International Workshop on Logic, Language, Information and Computation, 1/01/09. https://doi.org/10.1007/978-3-642-02261-6_2

Algebraic Valuations as Behavioral Logical Matrices. / DI Group Author.

Lecture Notes in Artificial Intelligence. ed. / H Ono; M Kanazawa; Queiroz R de. Vol. 5514/2009 Berlin / Heidelberg : Springer, 2009. p. 13-25.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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DI Group Author. Algebraic Valuations as Behavioral Logical Matrices. In Ono H, Kanazawa M, de QR, editors, Lecture Notes in Artificial Intelligence. Vol. 5514/2009. Berlin / Heidelberg: Springer. 2009. p. 13-25 https://doi.org/10.1007/978-3-642-02261-6_2