Theoretical Computer Science
JELIA '90 Proceedings of the European Workshop on Logics in AI
Behavioral abstraction is hiding information
Theoretical Computer Science - Selected papers of CMCS'03
Towards a Behavioral Algebraic Theory of Logical Valuations
Fundamenta Informaticae - Logic, Language, Information and Computation
Studia Logica
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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 $\mathcal{C}_1$.