Pure first-order logics of quasiary predicates

Pure first-order logics of partial and total, single-valued and multi-valued quasiary predicates are investigated. For these logics we describe semantic models and languages, giving special attention in our research to composition algebras of predicates and interpretation classes (sematics), and log...

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Збережено в:
Бібліографічні деталі
Дата:2018
Автори: Nikitchenko, M.S., Shkilniak, О.S., Shkilniak, S.S.
Формат: Стаття
Мова:Ukrainian
Опубліковано: Інститут програмних систем НАН України 2018
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Онлайн доступ:https://pp.isofts.kiev.ua/index.php/ojs1/article/view/182
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Назва журналу:Problems in programming
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Problems in programming
Опис
Резюме:Pure first-order logics of partial and total, single-valued and multi-valued quasiary predicates are investigated. For these logics we describe semantic models and languages, giving special attention in our research to composition algebras of predicates and interpretation classes (sematics), and logical consequence relations for sets of formulas. For the defined relations a number of sequent type calculi is constructed; their characteristic features are extended conditions for sequent closure and original forms for quantifier elimination.Problems in programming 2016; 2-3: 73-86