Resource Separation in Dynamic Logic of Propositional Assignments
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We extend dynamic logic of propositional assignments by adding an operator of parallel composition that is inspired by separation logics. We provide an axiomatisation via reduction axioms, thereby establishing decidability. We also prove that the complexity of both the model checking and the satisfiability problem stay in PSPACE.
KeywordsDynamic logic Separation logic Propositional assignments Parallel composition
The paper benefitted from comments and remarks from the reviewers as well as from the attendees of DaLí 2019, in particular Alexandru Baltag, Raul Fervari, Rainer Hähnle and Dexter Kozen. We did our best take their comments into account.
Andreas Herzig’s work was done in the framework of the ANR project “Cognitive Planning in Persuasive Multimodal Communication” (CoPains).
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