Compositional logics of nominative data

Logics that are oriented on program specification are proposed. These logics are constructed in a semantic-syntactic style on a basis of composition nominative approach. The first logic (neoclassical compositional logic) is the logic of equitone predicates over infinitary named data; it preserves th...

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Bibliographic Details
Date:2015
Main Authors: Nikitchenko, M.S., Shkilniak, S.S.
Format: Article
Language:Ukrainian
Published: PROBLEMS IN PROGRAMMING 2015
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Online Access:https://pp.isofts.kiev.ua/index.php/ojs1/article/view/17
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Journal Title:Problems in programming
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Problems in programming
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Summary:Logics that are oriented on program specification are proposed. These logics are constructed in a semantic-syntactic style on a basis of composition nominative approach. The first logic (neoclassical compositional logic) is the logic of equitone predicates over infinitary named data; it preserves the main properties of classical logic. The second logic (over finitary nominative data) is a concretization of the first one; the class of multi-valued naturally (abstractly) computable functions over nominative data is defined on its basis.