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arXiv · 1609.04093

A Canonical Model Construction for Iteration-Free PDL with Intersection

Florian Bruse·Daniel Kernberger·Martin Lange
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Abstract

We study the axiomatisability of the iteration-free fragment of Propositional Dynamic Logic with Intersection and Tests. The combination of program composition, intersection and tests makes its proof-theory rather difficult. We develop a normal form for formulae which minimises the interaction between these operators, as well as a refined canonical model construction. From these we derive an axiom system and a proof of its strong completeness.

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Florian Bruse, Daniel Kernberger, Martin Lange. 2016-09-14. A Canonical Model Construction for Iteration-Free PDL with Intersection. https://doi.org/10.4204/eptcs.226.9

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