Dynamic Logic of Propositional Assignments: A Well-Behaved Variant of PDL

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...

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Published in:2013 28th Annual ACM/IEEE Symposium on Logic in Computer Science pp. 143 - 152
Main Authors: Balbiani, Philippe, Herzig, Andreas, Troquard, Nicolas
Format: Conference Proceeding
Language:English
Published: IEEE 01.06.2013
Subjects:
Abstracts
Complexity theory
Computational modeling
Cost accounting
Handheld computers
Model checking
Radiation detectors
ISBN:1479904139, 9781479904136
ISSN:1043-6871
Online Access:Get full text
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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.
AbstractList 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.
Author Herzig, Andreas
Troquard, Nicolas
Balbiani, Philippe
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  givenname: Andreas
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  givenname: Nicolas
  surname: Troquard
  fullname: Troquard, Nicolas
  email: troquard@loa.istc.cnr.it
  organization: LOA, ISTC, Trento, Italy
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Snippet 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...
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SubjectTerms Abstracts
Complexity theory
Computational modeling
Cost accounting
Handheld computers
Model checking
Radiation detectors
Title Dynamic Logic of Propositional Assignments: A Well-Behaved Variant of PDL
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