From positive PDL to its non-classical extensions

Author:

Sedlár Igor1,Punčochář Vít1

Affiliation:

1. The Czech Academy of Sciences, Institute of Computer Science, Pod Vodárenskou věží, Prague 8, Czech Republic

Abstract

AbstractWe provide a complete binary implicational axiomatization of the positive fragment of propositional dynamic logic (PDL). The intended application of this result are completeness proofs for non-classical extensions of positive PDL. Two examples are discussed in this article, namely, a paraconsistent extension with modal De Morgan negation and a substructural extension with the residuated operators of the non-associative Lambek calculus. Informal interpretations of these two extensions are outlined.

Funder

Czech Science Foundation

Publisher

Oxford University Press (OUP)

Subject

Logic

Reference44 articles.

1. Term Rewriting and All That

2. Logics for epistemic programs;Baltag;Synthese,2004

3. Modeling costs of program runs in fuzzified propositional dynamic logic;Běhounek,2008

4. A useful four-valued logic;Belnap,1977

5. How a computer should think;Belnap,1977

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