Logics of general non-deterministic predicates: semantic aspects

Semantic aspects of a new class of program-oriented logical formalisms – logics of general non-deterministic quasiary predicates (GND-predicates) – are considered. Сlasses of GND-predicates are singled out, their compositions and algebras are investigated. The language of pure first-order logics of...

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Bibliographic Details
Date:2018
Main Authors: Nikitchenko, M.S., Shkilniak, О.S., Shkilniak, S.S.
Format: Article
Language:Ukrainian
Published: Інститут програмних систем НАН України 2018
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Online Access:https://pp.isofts.kiev.ua/index.php/ojs1/article/view/263
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Journal Title:Problems in programming

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Problems in programming
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Summary:Semantic aspects of a new class of program-oriented logical formalisms – logics of general non-deterministic quasiary predicates (GND-predicates) – are considered. Сlasses of GND-predicates are singled out, their compositions and algebras are investigated. The language of pure first-order logics of GND-predicates is described. The relation of the logical consequence for the sets of formulas is proposed and investigated. The properties of the decomposition of formulas and of quantifier elimination are described.Problems in programming 2018; 2-3: 031-045