Algebraic valuations as behavioral logical matrices

Carlos Caleiro, Ricardo Gonçalves

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Citations (Scopus)


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 languageEnglish
Title of host publicationLogic, Language, Information and Computation
Subtitle of host publication16th International Workshop, WoLLIC 2009, Proceedings
EditorsH Ono, M Kanazawa, Queiroz R de
Place of PublicationBerlin / Heidelberg
Number of pages13
ISBN (Print)364202260X, 9783642022609
Publication statusPublished - 2009
EventWoLLIC '09 Proceedings of the 16th International Workshop on Logic, Language, Information and Computation -
Duration: 1 Jan 2009 → …

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5514 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


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


  • Algebraic logic
  • Behavioral algebraization
  • Logical matrix
  • Valuation semantics


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