Probability Functions in the Context of Signed Involutive Meadows (Extended Abstract) - Recent Trends in Algebraic Development Techniques
Conference Papers Year : 2017

Probability Functions in the Context of Signed Involutive Meadows (Extended Abstract)

Abstract

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.

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Computer Science [cs]
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Submitted on : Monday, April 16, 2018-11:34:40 AM

Last modification on : Monday, November 4, 2024-4:36:05 PM

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hal-01767464 , version 1 (16-04-2018)

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Jan A. Bergstra, Alban Ponse. Probability Functions in the Context of Signed Involutive Meadows (Extended Abstract). 23th International Workshop on Algebraic Development Techniques (WADT), Sep 2016, Gregynog, United Kingdom. pp.73-87, ⟨10.1007/978-3-319-72044-9_6⟩. ⟨hal-01767464⟩

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