The role played by continuous morphisms in propositional modal logic is investigated: it turns out that they are strictly related to filtrations and to suitable variants of the notion of a free algebra. We also employ continuous morphisms in incremental constructions of (standard) finitely generated free S4-algebras.

Continuity, freeness, and filtrations / S. Ghilardi. - In: JOURNAL OF APPLIED NON-CLASSICAL LOGICS. - ISSN 1166-3081. - 20:3(2010), pp. 193-217. [10.3166/JANCL.20.193-217]

Continuity, freeness, and filtrations

S. Ghilardi
Primo
2010

Abstract

The role played by continuous morphisms in propositional modal logic is investigated: it turns out that they are strictly related to filtrations and to suitable variants of the notion of a free algebra. We also employ continuous morphisms in incremental constructions of (standard) finitely generated free S4-algebras.
Filtrations; Free algebras; Modal logic
Settore M-FIL/02 - Logica e Filosofia della Scienza
Settore MAT/01 - Logica Matematica
2010
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/160898
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