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  • 9 - The Logical Essentials of Bayesian Reasoning

  • Edited by Gilles Barthe, Joost-Pieter Katoen, RWTH Aachen University, Germany, Alexandra Silva, University College London
  • Book:
    Foundations of Probabilistic Programming
    Published online:
    18 November 2020
    Print publication:
    03 December 2020, pp 295-332
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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.