A modal aleatoric calculus for probabilistic reasoning

Andrew Gozzard, Timothy French, Mark Reynolds

Research output: Chapter in Book/Conference paperConference paper

Abstract

We consider multi-agent systems where agents actions and beliefs are determined aleatorically, or “by the throw of dice”. This system consists of possible worlds that assign distributions to independent random variables, and agents who assign probabilities to these possible worlds. We present a novel syntax and semantics for such system, and show that they generalise Modal Logic. We also give a sound and complete calculus for reasoning in the base semantics, and a sound calculus for the full modal semantics, that we conjecture to be complete. Finally we discuss some application to reasoning about game playing agents.
Original languageEnglish
Title of host publicationLogic and its applications
Subtitle of host publication8th Indian Conference, ICLA 2019, Delhi, India, March 1-5, 2019, Proceedings
EditorsMd. Aquil Khan, Amaldev Manuel
Place of PublicationBerlin
PublisherSpringer
Pages52-63
ISBN (Electronic)9783662587713
ISBN (Print)9783662587706
DOIs
Publication statusPublished - 2019

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Probabilistic Reasoning
Calculi
Possible Worlds
Sound
Multi-agent Systems
Syntax
Modal Logic

Cite this

Gozzard, A., French, T., & Reynolds, M. (2019). A modal aleatoric calculus for probabilistic reasoning. In M. Aquil Khan, & A. Manuel (Eds.), Logic and its applications : 8th Indian Conference, ICLA 2019, Delhi, India, March 1-5, 2019, Proceedings (pp. 52-63). Berlin: Springer. https://doi.org/10.1007/978-3-662-58771-3_6
Gozzard, Andrew ; French, Timothy ; Reynolds, Mark. / A modal aleatoric calculus for probabilistic reasoning. Logic and its applications : 8th Indian Conference, ICLA 2019, Delhi, India, March 1-5, 2019, Proceedings. editor / Md. Aquil Khan ; Amaldev Manuel . Berlin : Springer, 2019. pp. 52-63
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Gozzard, A, French, T & Reynolds, M 2019, A modal aleatoric calculus for probabilistic reasoning. in M Aquil Khan & A Manuel (eds), Logic and its applications : 8th Indian Conference, ICLA 2019, Delhi, India, March 1-5, 2019, Proceedings. Springer, Berlin, pp. 52-63. https://doi.org/10.1007/978-3-662-58771-3_6

A modal aleatoric calculus for probabilistic reasoning. / Gozzard, Andrew; French, Timothy; Reynolds, Mark.

Logic and its applications : 8th Indian Conference, ICLA 2019, Delhi, India, March 1-5, 2019, Proceedings. ed. / Md. Aquil Khan; Amaldev Manuel . Berlin : Springer, 2019. p. 52-63.

Research output: Chapter in Book/Conference paperConference paper

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Gozzard A, French T, Reynolds M. A modal aleatoric calculus for probabilistic reasoning. In Aquil Khan M, Manuel A, editors, Logic and its applications : 8th Indian Conference, ICLA 2019, Delhi, India, March 1-5, 2019, Proceedings. Berlin: Springer. 2019. p. 52-63 https://doi.org/10.1007/978-3-662-58771-3_6