A Canonical Model Construction for Iteration-Free PDL with Intersection
  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. 
Florian Bruse (University of Kassel), Daniel Kernberger (University of   Kassel), Martin Lange (University of Kassel)
cs.LO