Sequential Dynamic Logic

Journal of Logic, Language and Information 21 (3):279-298 (2012)
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Abstract

We introduce a substructural propositional calculus of Sequential Dynamic Logic that subsumes a propositional part of dynamic predicate logic, and is shown to be expressively equivalent to propositional dynamic logic. Completeness of the calculus with respect to the intended relational semantics is established.

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Dov Gabbay
Hebrew University of Jerusalem

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References found in this work

Dynamic predicate logic.Jeroen Groenendijk & Martin Stokhof - 1991 - Linguistics and Philosophy 14 (1):39-100.
Dynamic Logic.Lenore D. Zuck & David Harel - 1989 - Journal of Symbolic Logic 54 (4):1480.
An equational axiomatization of dynamic negation and relational composition.Marco Hollenberg - 1997 - Journal of Logic, Language and Information 6 (4):381-401.
Dynamic squares.Patrick Blackburn & Yde Venema - 1995 - Journal of Philosophical Logic 24 (5):469 - 523.

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