%0 Conference Proceedings %T Probability Functions in the Context of Signed Involutive Meadows (Extended Abstract) %+ University of Amsterdam [Amsterdam] = Universiteit van Amsterdam (UvA) %A Bergstra, Jan, A. %A Ponse, Alban %Z Part 4: Regular Papers %< avec comité de lecture %( Lecture Notes in Computer Science %B 23th International Workshop on Algebraic Development Techniques (WADT) %C Gregynog, United Kingdom %Y Phillip James %Y Markus Roggenbach %I Springer International Publishing %3 Recent Trends in Algebraic Development Techniques %V LNCS-10644 %P 73-87 %8 2016-09-21 %D 2016 %R 10.1007/978-3-319-72044-9_6 %K Meadow %K Bayes’ theorem %K Bayesian reasoning %Z Computer Science [cs]Conference papers %X The Kolmogorov axioms for probability functions are placed in the context of signed meadows. A completeness theorem is stated and proven for the resulting equational theory of probability calculus. Elementary definitions of probability theory are restated in this framework. %G English %Z TC 1 %Z WG 1.3 %2 https://inria.hal.science/hal-01767464/document %2 https://inria.hal.science/hal-01767464/file/433330_1_En_6_Chapter.pdf %L hal-01767464 %U https://inria.hal.science/hal-01767464 %~ IFIP-LNCS %~ IFIP %~ IFIP-TC %~ IFIP-TC1 %~ IFIP-WG1-3 %~ IFIP-WADT %~ IFIP-LNCS-10644