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  • 1
    Online Resource
    Online Resource
    Association for Computing Machinery (ACM) ; 2018
    In:  Journal of the ACM Vol. 65, No. 5 ( 2018-10-31), p. 1-68
    In: Journal of the ACM, Association for Computing Machinery (ACM), Vol. 65, No. 5 ( 2018-10-31), p. 1-68
    Abstract: This article presents a wp--style calculus for obtaining bounds on the expected runtime of randomized algorithms. Its application includes determining the (possibly infinite) expected termination time of a randomized algorithm and proving positive almost--sure termination—does a program terminate with probability one in finite expected time? We provide several proof rules for bounding the runtime of loops, and prove the soundness of the approach with respect to a simple operational model. We show that our approach is a conservative extension of Nielson’s approach for reasoning about the runtime of deterministic programs. We analyze the expected runtime of some example programs including the coupon collector’s problem, a one--dimensional random walk and a randomized binary search.
    Type of Medium: Online Resource
    ISSN: 0004-5411 , 1557-735X
    RVK:
    Language: English
    Publisher: Association for Computing Machinery (ACM)
    Publication Date: 2018
    detail.hit.zdb_id: 2006500-0
    detail.hit.zdb_id: 6759-3
    Location Call Number Limitation Availability
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  • 2
    Online Resource
    Online Resource
    Association for Computing Machinery (ACM) ; 2022
    In:  Journal of the ACM Vol. 69, No. 6 ( 2022-12-31), p. 1-52
    In: Journal of the ACM, Association for Computing Machinery (ACM), Vol. 69, No. 6 ( 2022-12-31), p. 1-52
    Abstract: Arguing for the need to combine declarative and probabilistic programming, Bárány et al. (TODS 2017) recently introduced a probabilistic extension of Datalog as a “purely declarative probabilistic programming language.” We revisit this language and propose a more principled approach towards defining its semantics based on stochastic kernels and Markov processes—standard notions from probability theory. This allows us to extend the semantics to continuous probability distributions, thereby settling an open problem posed by Bárány et al. We show that our semantics is fairly robust, allowing both parallel execution and arbitrary chase orders when evaluating a program. We cast our semantics in the framework of infinite probabilistic databases (Grohe and Lindner, LMCS 2022) and show that the semantics remains meaningful even when the input of a probabilistic Datalog program is an arbitrary probabilistic database.
    Type of Medium: Online Resource
    ISSN: 0004-5411 , 1557-735X
    RVK:
    Language: English
    Publisher: Association for Computing Machinery (ACM)
    Publication Date: 2022
    detail.hit.zdb_id: 2006500-0
    detail.hit.zdb_id: 6759-3
    Location Call Number Limitation Availability
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  • 3
    Online Resource
    Online Resource
    Springer Science and Business Media LLC ; 2019
    In:  Acta Informatica Vol. 56, No. 3 ( 2019-4), p. 255-285
    In: Acta Informatica, Springer Science and Business Media LLC, Vol. 56, No. 3 ( 2019-4), p. 255-285
    Type of Medium: Online Resource
    ISSN: 0001-5903 , 1432-0525
    RVK:
    Language: English
    Publisher: Springer Science and Business Media LLC
    Publication Date: 2019
    detail.hit.zdb_id: 1389024-4
    detail.hit.zdb_id: 120032-X
    SSG: 24,1
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