Logic Journal of the IGPL 27 (4):522-542 (2019)

Authors
Igor Sedlár
Czech Academy of Sciences
Abstract
We provide a complete binary implicational axiomatization of the positive fragment of propositional dynamic logic. 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.
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DOI 10.1093/jigpal/jzz017
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References found in this work BETA

Dynamic Logic.Lenore D. Zuck & David Harel - 1989 - Journal of Symbolic Logic 54 (4):1480.

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Citations of this work BETA

Semantic Conceptions of Information.Luciano Floridi - 2008 - Stanford Encyclopedia of Philosophy.
Neighbourhood Semantics for Modal Relevant Logics.Nicholas Ferenz & Andrew Tedder - forthcoming - Journal of Philosophical Logic:1-37.

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