Skip to Main content Skip to Navigation
Conference papers

Dynamic logic of propositional assignments : a well-behaved variant of PDL

Philippe Balbiani 1, 2 Andreas Herzig 1, 2 Nicolas Troquard 3 
1 IRIT-LILaC - Logique, Interaction, Langue et Calcul
IRIT - Institut de recherche en informatique de Toulouse
2 CNRS - Centre National de la Recherche Scientifique
3 Laboratory for Applied Ontology - LOA (Trento, Italy)
Abstract : We study a version of Propositional Dynamic Logic (PDL) that we call Dynamic Logic of Propositional Assignments (DL-PA). The atomic programs of DL-PA are assignments of propositional variables to true or to false. We show that DL-PA behaves better than PDL, having e.g. compactness and eliminability of the Kleene star. We establish tight complexity results: both satisfiability and model checking are EXPTIME-complete.
Keywords : DL-PA EXPTIME-complete Propositional variable assignment Model checking Satisfiability Kleene star compactness Kleene star eliminability PDL Dynamic logic of propositional assignments
Document type :
Conference papers
Complete list of metadata

Cited literature [16 references]  Display  Hide  Download
https://hal.archives-ouvertes.fr/hal-01240721
Contributor : Open Archive Toulouse Archive Ouverte (OATAO) Connect in order to contact the contributor
Submitted on : Wednesday, December 9, 2015 - 2:33:03 PM
Last modification on : Wednesday, June 1, 2022 - 4:03:12 AM
Long-term archiving on: : Thursday, March 10, 2016 - 2:18:34 PM

File

Vignette du document
balbiani_12432.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01240721, version 1
  • OATAO : 12432

Collections

UNIV-TLSE2 | UNIV-TLSE3 | CNRS | SMS | UT1-CAPITOLE | IRIT | IRIT-LILAC | IRIT-IA | IRIT-CNRS | UNIV-UT3

Citation

Philippe Balbiani, Andreas Herzig, Nicolas Troquard. Dynamic logic of propositional assignments : a well-behaved variant of PDL. 28th Annual IEEE/ACM Symposium on Logic in Computer Science (LICS 2013), Jun 2013, New Orleans, LA, United States. pp.143-152. ⟨hal-01240721⟩

Export

BibTeX TEI DC DCterms EndNote Datacite

Share

Metrics

Record views

116

Files downloads

377