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A Contraction-free and Cut-free Sequent Calculus for Propositional Dynamic Logic

✍ Scribed by Brian Hill; Francesca Poggiolesi


Publisher
Springer Netherlands
Year
2010
Tongue
English
Weight
326 KB
Volume
94
Category
Article
ISSN
0039-3215

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## Abstract The aim of this paper is to extend the semantic analysis of tense logic in Rescher/Urquhart [3] to propositional dynamic logic without\*. For this we develop a nested sequential calculus whose axioms and rules directly reflect the steps in the semantic analysis. It is shown that this ca