The Infinite-Valued Łukasiewicz Logic and Probability | Zendy

Janusz Czelakowski | Zendy

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The Infinite-Valued Łukasiewicz Logic and Probability

Author(s) -

Janusz Czelakowski

Publication year - 2017

Publication title -

bulletin of the section of logic

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.225

H-Index - 13

eISSN - 2449-836X

pISSN - 0138-0680

DOI - 10.18778/0138-0680.46.1.2.05

Subject(s) - łukasiewicz logic , algebra over a field , mathematics , algebraic structure , algebraic number , set (abstract data type) , boolean algebra , algebraic logic , abstract algebra , pure mathematics , distribution (mathematics) , discrete mathematics , many valued logic , computer science , substructural logic , theoretical computer science , mathematical analysis , description logic , programming language

The paper concerns the algebraic structure of the set of cumulative distribution functions as well as the relationship between the resulting algebra and the infinite-valued Łukasiewicz algebra. The paper also discusses interrelations holding between the logical systems determined by the above algebras.

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