Towards Representation of Classical Logic as Logic of Partial Quasiary Predicates
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NIKITCHENKO, Mykola, SHKILNIAK, Stepan. Towards Representation of Classical Logic as Logic of Partial Quasiary Predicates. In: Conference on Mathematical Foundations of Informatics, Ed. 2017, 9-11 noiembrie 2017, Chișinău. Chișinău, Republica Moldova: "VALINEX" SRL, 2017, pp. 133-138. ISBN 978‐9975‐4237‐6‐2.
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Conference on Mathematical Foundations of Informatics 2017
Conferința "Conference on Mathematical Foundations of Informatics"
2017, Chișinău, Moldova, 9-11 noiembrie 2017

Towards Representation of Classical Logic as Logic of Partial Quasiary Predicates


Pag. 133-138

Nikitchenko Mykola, Shkilniak Stepan
 
Taras Shevchenko National University of Kyiv
 
 
Disponibil în IBN: 20 martie 2018


Rezumat

Quasiary predicates are partial predicates over partial states (partial assignments) of variables. Such predicates do not have a fixed arity. They are used to represent program conditions and requirements, therefore logics of quasiary predicates are programoriented logics. Classical predicate logic is based on total n-ary predicates. We demonstrate how classical logic can be represented as logic of quasiary predicates. Properties of such representation are investigated. Obtained results can be used for program verification.

Cuvinte-cheie
classical predicate logic, First-order logic, partial predicate, quasiary logic,

quasiary predicate

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<dc:creator>Nikitcenko, M.</dc:creator>
<dc:creator>Shkilniak, S.</dc:creator>
<dc:date>2017</dc:date>
<dc:description xml:lang='en'><p>Quasiary predicates are partial predicates over partial states (partial assignments) of variables. Such predicates do not have a fixed arity. They are used to represent program conditions and requirements, therefore logics of quasiary predicates are programoriented logics. Classical predicate logic is based on total n-ary predicates. We demonstrate how classical logic can be represented as logic of quasiary predicates. Properties of such representation are investigated. Obtained results can be used for program verification.</p></dc:description>
<dc:source>Conference on Mathematical Foundations of Informatics () 133-138</dc:source>
<dc:subject>classical predicate logic</dc:subject>
<dc:subject>First-order logic</dc:subject>
<dc:subject>partial
predicate</dc:subject>
<dc:subject>quasiary predicate</dc:subject>
<dc:subject>quasiary logic</dc:subject>
<dc:title>Towards Representation of Classical Logic as Logic of Partial Quasiary Predicates</dc:title>
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