On the computational complexity of satisfiability in propositional logics of programs

Bogdan S. Chlebus

doi:10.1016/0304-3975(89)90083-2

On the computational complexity of satisfiability in propositional logics of programs

Bogdan S. Chlebus

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The satisfiability problems of propositional algorithmic logic and propositional dynamic logic are shown to be complete in the classes of languages accepted in polynomial space by the deterministic and alternating Turing machines respectively. Explicit upper and lower bounds on the space complexity are calculated. Exponential lower bounds on the space complexity of the satisfiability problems of these logics extended by adding a certain program connective are proved.

Original language	English (US)
Pages (from-to)	179-212
Number of pages	34
Journal	Theoretical Computer Science
Volume	21
Issue number	2
DOIs	https://doi.org/10.1016/0304-3975(89)90083-2
State	Published - Nov 1982
Externally published	Yes

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

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10.1016/0304-3975(89)90083-2

Cite this

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abstract = "The satisfiability problems of propositional algorithmic logic and propositional dynamic logic are shown to be complete in the classes of languages accepted in polynomial space by the deterministic and alternating Turing machines respectively. Explicit upper and lower bounds on the space complexity are calculated. Exponential lower bounds on the space complexity of the satisfiability problems of these logics extended by adding a certain program connective are proved.",

author = "Chlebus, {Bogdan S.}",

year = "1982",

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N2 - The satisfiability problems of propositional algorithmic logic and propositional dynamic logic are shown to be complete in the classes of languages accepted in polynomial space by the deterministic and alternating Turing machines respectively. Explicit upper and lower bounds on the space complexity are calculated. Exponential lower bounds on the space complexity of the satisfiability problems of these logics extended by adding a certain program connective are proved.

AB - The satisfiability problems of propositional algorithmic logic and propositional dynamic logic are shown to be complete in the classes of languages accepted in polynomial space by the deterministic and alternating Turing machines respectively. Explicit upper and lower bounds on the space complexity are calculated. Exponential lower bounds on the space complexity of the satisfiability problems of these logics extended by adding a certain program connective are proved.

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On the computational complexity of satisfiability in propositional logics of programs

Abstract

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