The Logical Essentials of Bayesian Reasoning

This chapter offers an accessible introduction to the channel-based approach to Bayesian probability theory. This framework rests on algebraic and logical foundations, inspired by the methodologies of programming language semantics. It offers a uniform, structured and expressive language for describ...

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Bibliographic Details
Published in:Foundations of Probabilistic Programming pp. 295 - 332
Format: Book Chapter
Language:English
Published: United Kingdom Cambridge University Press 18.11.2020
ISBN:110848851X, 9781108488518
Online Access:Get full text
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Summary:This chapter offers an accessible introduction to the channel-based approach to Bayesian probability theory. This framework rests on algebraic and logical foundations, inspired by the methodologies of programming language semantics. It offers a uniform, structured and expressive language for describing Bayesian phenomena in terms of familiar programming concepts, like channel, predicate transformation and state transformation. The introduction also covers inference in Bayesian networks, which will be modelled by a suitable calculus of string diagrams.
ISBN:110848851X
9781108488518
DOI:10.1017/9781108770750.010