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A probabilistic PDL

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Dexter KozenAuthors Info & Claims

STOC '83: Proceedings of the fifteenth annual ACM symposium on Theory of computing

Pages 291 - 297

https://doi.org/10.1145/800061.808758

Published: 01 December 1983 Publication History

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Abstract

In this paper we give a probabilistic analog PPDL of Propositional Dynamic Logic. We prove a small model property and give a polynomial space decision procedure for formulas involving well-structured programs. We also give a deductive calculus and illustrate its use by calculating the expected running time of a simple random walk program.

References

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Feldman, Y.A, and D. Harel, "A Probabilistic Dynamic Logic," 14th Symp. on Theory of Computing, 1982, p. 181.

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Halpern and Reif, "Propositional Dynamic Logic of Deterministic, Well-structured Programs," 22nd Symp. on Foundations of Computer Science, 1981, p. 322.

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Cited By

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Batz KBiskup TKatoen JWinkler T(2024)Programmatic Strategy Synthesis: Resolving Nondeterminism in Probabilistic ProgramsProceedings of the ACM on Programming Languages10.1145/36329358:POPL(2792-2820)Online publication date: 5-Jan-2024
https://dl.acm.org/doi/10.1145/3632935
Müllner JMoosbrugger MKovács L(2024)Strong Invariants Are Hard: On the Hardness of Strongest Polynomial Invariants for (Probabilistic) ProgramsProceedings of the ACM on Programming Languages10.1145/36328728:POPL(882-910)Online publication date: 5-Jan-2024
https://dl.acm.org/doi/10.1145/3632872
Schröer PBatz KKaminski BKatoen JMatheja C(2023)A Deductive Verification Infrastructure for Probabilistic ProgramsProceedings of the ACM on Programming Languages10.1145/36228707:OOPSLA2(2052-2082)Online publication date: 16-Oct-2023
https://dl.acm.org/doi/10.1145/3622870
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Index Terms

A probabilistic PDL
1. Theory of computation

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STOC '83: Proceedings of the fifteenth annual ACM symposium on Theory of computing

December 1983

487 pages

ISBN:0897910990

DOI:10.1145/800061

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

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Published: 01 December 1983

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Batz KBiskup TKatoen JWinkler T(2024)Programmatic Strategy Synthesis: Resolving Nondeterminism in Probabilistic ProgramsProceedings of the ACM on Programming Languages10.1145/36329358:POPL(2792-2820)Online publication date: 5-Jan-2024
https://dl.acm.org/doi/10.1145/3632935
Müllner JMoosbrugger MKovács L(2024)Strong Invariants Are Hard: On the Hardness of Strongest Polynomial Invariants for (Probabilistic) ProgramsProceedings of the ACM on Programming Languages10.1145/36328728:POPL(882-910)Online publication date: 5-Jan-2024
https://dl.acm.org/doi/10.1145/3632872
Schröer PBatz KKaminski BKatoen JMatheja C(2023)A Deductive Verification Infrastructure for Probabilistic ProgramsProceedings of the ACM on Programming Languages10.1145/36228707:OOPSLA2(2052-2082)Online publication date: 16-Oct-2023
https://dl.acm.org/doi/10.1145/3622870
Li JAhmed AHoltzen S(2023)Lilac: A Modal Separation Logic for Conditional ProbabilityProceedings of the ACM on Programming Languages10.1145/35912267:PLDI(148-171)Online publication date: 6-Jun-2023
https://dl.acm.org/doi/10.1145/3591226
Feng SChen MSu HKaminski BKatoen JZhan N(2023)Lower Bounds for Possibly Divergent Probabilistic ProgramsProceedings of the ACM on Programming Languages10.1145/35860517:OOPSLA1(696-726)Online publication date: 6-Apr-2023
https://dl.acm.org/doi/10.1145/3586051
Zilberstein NDreyer DSilva A(2023)Outcome Logic: A Unifying Foundation for Correctness and Incorrectness ReasoningProceedings of the ACM on Programming Languages10.1145/35860457:OOPSLA1(522-550)Online publication date: 6-Apr-2023
https://dl.acm.org/doi/10.1145/3586045
Chatterjee KKafshdar Goharshady ENovotný PZárevúcky JŽikelić Đ(2023)On Lexicographic Proof Rules for Probabilistic TerminationFormal Aspects of Computing10.1145/358539135:2(1-25)Online publication date: 23-Jun-2023
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Barbosa MBarthe GDoczkal CDon JFehr SGrégoire BHuang YHülsing ALee YWu X(2023)Fixing and Mechanizing the Security Proof of Fiat-Shamir with Aborts and DilithiumAdvances in Cryptology – CRYPTO 202310.1007/978-3-031-38554-4_12(358-389)Online publication date: 9-Aug-2023
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Akshay SChatterjee KMeggendorfer TŽikelić Đ(2023)MDPs as Distribution Transformers: Affine Invariant Synthesis for Safety ObjectivesComputer Aided Verification10.1007/978-3-031-37709-9_5(86-112)Online publication date: 17-Jul-2023
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Grohe MKaminski BKatoen JLindner P(2022)Generative Datalog with Continuous DistributionsJournal of the ACM10.1145/355910269:6(1-52)Online publication date: 30-Aug-2022
https://dl.acm.org/doi/10.1145/3559102
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Abstract

References

Cited By

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Recommendations

Completeness and decidability of converse PDL in the constructive type theory of Coq

Bisimilar and Logically Equivalent Programs in PDL

A Reduction from DLP to PDL

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