Probabilistic Logic over Paths
Author(s) -
Evan Tzanis,
Robin Hirsch
Publication year - 2008
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2008.11.020
Subject(s) - probabilistic logic , probabilistic ctl , modal logic , expressive power , computer science , theoretical computer science , path (computing) , probabilistic argumentation , extension (predicate logic) , discrete mathematics , completeness (order theory) , dynamic logic (digital electronics) , computation , mathematics , modal , algorithm , programming language , artificial intelligence , probabilistic analysis of algorithms , mathematical analysis , chemistry , physics , transistor , voltage , quantum mechanics , polymer chemistry
We introduce a probabilistic modal logic PPL extending the work of [Ronald Fagin, Joseph Y. Halpern, and Nimrod Megiddo. A logic for reasoning about probabilities. Information and Computation, 87(1,2):78–128, 1990; Ronald Fagin and Joseph Y. Halpern. Reasoning about knowledge and probability. Journal of the ACM, 41(2):340–367, 1994] by allowing arbitrary nesting of a path probabilistic operator and we prove its completeness. We prove that our logic is strictly more expressive than other logics such as the logics cited above. By considering a probabilistic extension of CTL we show that this additional expressive power is really needed in some applications
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