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Referentiality and Matrix Semantics
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Titel: |
Referentiality and Matrix Semantics |
In: | Studia Logica: An International Journal for Symbolic Logic, 97, 2011, 2, S. 297-312 |
veröffentlicht: |
Springer
|
Umfang: | 297-312 |
ISSN: |
0039-3215 1572-8730 |
Zusammenfassung: | <p>Referential semantics importantly subscribes to the programme of theory of logical calculi. Defined by Wójcicki in [8], it has been subsequently studied in a series of papers of the author, till the full exposition of the framework in [9] and its intuitive characterisation in [10]. The aim of the article is to present several generalizations of referential semantics as compared and related to the matrix semantics for propositional logics. We show, in a uniform way, some own generalizations of referentiality: the first, directed to unrestricted cluster referential semantics, [4], its "discrete" version, a counterpart of algebraic semantics and a many-valued referentiality based on matrices, whose elements are functions from the set of indices to a finite n-element set of values, n≥2, [3]. Next to this we outline pragmatic matrices introduced by Tokarz in [6] as an alternative for cluster referential approach and discuss together all presented versions of referential semantics.</p> |
Format: | E-Article |
Quelle: |
sid-55-col-jstormaths sid-55-col-jstoras7 JSTOR Mathematics & Statistics JSTOR Arts & Sciences VII Archive |
Sprache: | Englisch |