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2015 | 44 | 1-2 |

Tytuł artykułu

Categorical Abstract Algebraic Logic: Referential π-Institutions

Treść / Zawartość

Abstrakty

EN
Wójcicki introduced in the late 1970s the concept of a referential semantics for propositional logics. Referential semantics incorporate features of the Kripke possible world semantics for modal logics into the realm of algebraic and matrix semantics of arbitrary sentential logics. A well-known theorem of Wójcicki asserts that a logic has a referential semantics if and only if it is selfextensional. Referential semantics was subsequently studied in detail by Malinowski and the concept of selfextensionality has played, more recently, an important role in the field of abstract algebraic logic in connection with the operator approach to algebraizability. We introduce and review some of the basic definitions and results pertaining to the referential semantics of π-institutions, abstracting corresponding results from the realm of propositional logics.

Rocznik

Tom

44

Numer

1-2

Daty

wydano
2015

Identyfikatory

URI
http://hdl.handle.net/11089/17400

Identyfikator YADDA

bwmeta1.element.hdl_11089_17400