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Propositional Dynamic Logic with Storing, Recovering and Parallel Composition

The work

AuthorsMario Folhadela Benevides; Renata de Freitas; Petrúcio Viana
Editors
Typearticle
Year2011
Citekeybenevides2011propositional

Where it appeared

Published inElectronic Notes in Theoretical Computer Science
PublisherElsevier BV
Volume269
Pages95--107

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Abstract

This work extends Propositional Dynamic Logic (PDL) with parallel composition operator and four atomic programs which formalize the storing and recovering of elements in data structures. A generalization of Kripke semantics is proposed that instead of using set of possible states it uses structured sets of possible states. This new semantics allows for representing data structures and using the five new operator one is capable of reasoning about the manipulation of these data structures. The use of the new language (PRSPDL) is illustrated with some examples. We present sound and complete set of axiom schemata and inference rules to prove all the valid formulas for a restricted fragment called RSPDLo.

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Added2026-10-24 15:55 UTC
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Filed under

entcs

Cite it as

@article{benevides2011propositional,
  title        = {Propositional Dynamic Logic with Storing, Recovering and Parallel Composition},
  author       = {Mario Folhadela Benevides and Renata de Freitas and Petrúcio Viana},
  year         = {2011},
  journal      = {Electronic Notes in Theoretical Computer Science},
  publisher    = {Elsevier BV},
  volume       = {269},
  pages        = {95--107},
  doi          = {10.1016/j.entcs.2011.03.008},
}

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