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Algebraic Valuations as Behavioral Logical Matrices
June 2009
ccal:rgon:09
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.
In proceedings
R. Gonçalves, C. Caleiro
H. Ono, M. Kanazawa, R. de Queiroz
16th International Workshop, WoLLIC 2009, Tokyo, Japan, June 21-24, 2009. Proceedings
Lecture Notes in Artificial Intelligence
Springer
Berlin / Heidelberg
5514/2009
13-25
978-3-642-02260-9
0302-9743
-
http://www.springerlink.com/content/y03731w137g2l512/?p=1a51a0872ae6419f82fd27245c824f17&pi=1
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R. Gonçalves and C. Caleiro, Algebraic Valuations as Behavioral Logical Matrices, in: H. Ono and M. Kanazawa and R. de Queiroz (eds), 16th International Workshop, WoLLIC 2009, Tokyo, Japan, June 21-24, 2009. Proceedings, Lecture Notes in Artificial Intelligence, Springer, Berlin / Heidelberg, Vol. 5514/2009, ISBN 978-3-642-02260-9, ISSN 0302-9743, Pag. 13-25, (http://www.springerlink.com/content/y03731w137g2l512/?p=1a51a0872ae6419f82fd27245c824f17_amp_pi=1), June 2009.
<a href="/people/members/view.php?code=855d4cc45b6396858cd0838dd42db58f" class="author">R. Gonçalves</a> and C. Caleiro, <b>Algebraic Valuations as Behavioral Logical Matrices</b>, in: H. Ono, M. Kanazawa and R. de Queiroz (eds), <u>16th International Workshop, WoLLIC 2009, Tokyo, Japan, June 21-24, 2009. Proceedings</u>, Lecture Notes in Artificial Intelligence, <a href="http://www.springer.com" title="Link to external entity..." target="_blank" class="publisher">Springer</a>, Berlin / Heidelberg, Vol. 5514/2009, ISBN 978-3-642-02260-9, ISSN 0302-9743, Pag. 13-25, (<a href="http://www.springerlink.com/content/y03731w137g2l512/?p=1a51a0872ae6419f82fd27245c824f17_amp_pi=1" target="_blank">url</a>), June 2009.
@inproceedings {ccal:rgon:09, author = {R. Gon\c{c}alves and C. Caleiro}, editor = {H. Ono and M. Kanazawa and R. de Queiroz}, title = {Algebraic Valuations as Behavioral Logical Matrices}, booktitle = {16th International Workshop, WoLLIC 2009, Tokyo, Japan, June 21-24, 2009. Proceedings}, series = {Lecture Notes in Artificial Intelligence}, publisher = {Springer}, address = {Berlin / Heidelberg}, volume = {5514/2009}, pages = {13-25}, isbn = {978-3-642-02260-9}, issn = {0302-9743}, url = {http://www.springerlink.com/content/y03731w137g2l512/?p=1a51a0872ae6419f82fd27245c824f17_amp_pi=1}, 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.}, month = {June}, year = {2009}, }
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