Algebras and logics of partial quasiary predicates
In the paper we investigate algebras and logics defined for classes of partial quasiary predicates. Informally speaking, such predicates are partial predicates defined over partial states (partial assignments) of variables. Conventional n-ary predicates can be considered as a special case of quasiar...
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| Дата: | 2017 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2017
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156020 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Algebras and logics of partial quasiary predicates / M. Nikitchenko, S. Shkilniak // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 263–278. — Бібліогр.: 7 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1560202019-06-18T01:30:42Z Algebras and logics of partial quasiary predicates Nikitchenko, M. Shkilniak, S. In the paper we investigate algebras and logics defined for classes of partial quasiary predicates. Informally speaking, such predicates are partial predicates defined over partial states (partial assignments) of variables. Conventional n-ary predicates can be considered as a special case of quasiary predicates. The notion of quasiary predicate, as well as the notion of quasiary function, is used in computer science to represent semantics of computer programs and their components. We define extended first-order algebras of partial quasiary predicates and investigate their properties. Based on such algebras we define a logic with irrefutability consequence relation. A sequent calculus is constructed for this logic, its soundness and completeness are proved. 2017 Article Algebras and logics of partial quasiary predicates / M. Nikitchenko, S. Shkilniak // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 263–278. — Бібліогр.: 7 назв. — англ. 1726-3255 2010 MSC:03G25, 08A70, 03B70. http://dspace.nbuv.gov.ua/handle/123456789/156020 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In the paper we investigate algebras and logics defined for classes of partial quasiary predicates. Informally speaking, such predicates are partial predicates defined over partial states (partial assignments) of variables. Conventional n-ary predicates can be considered as a special case of quasiary predicates. The notion of quasiary predicate, as well as the notion of quasiary function, is used in computer science to represent semantics of computer programs and their components. We define extended first-order algebras of partial quasiary predicates and investigate their properties. Based on such algebras we define a logic with irrefutability consequence relation. A sequent calculus is constructed for this logic, its soundness and completeness are proved. |
| format |
Article |
| author |
Nikitchenko, M. Shkilniak, S. |
| spellingShingle |
Nikitchenko, M. Shkilniak, S. Algebras and logics of partial quasiary predicates Algebra and Discrete Mathematics |
| author_facet |
Nikitchenko, M. Shkilniak, S. |
| author_sort |
Nikitchenko, M. |
| title |
Algebras and logics of partial quasiary predicates |
| title_short |
Algebras and logics of partial quasiary predicates |
| title_full |
Algebras and logics of partial quasiary predicates |
| title_fullStr |
Algebras and logics of partial quasiary predicates |
| title_full_unstemmed |
Algebras and logics of partial quasiary predicates |
| title_sort |
algebras and logics of partial quasiary predicates |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156020 |
| citation_txt |
Algebras and logics of partial quasiary predicates / M. Nikitchenko, S. Shkilniak // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 263–278. — Бібліогр.: 7 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT nikitchenkom algebrasandlogicsofpartialquasiarypredicates AT shkilniaks algebrasandlogicsofpartialquasiarypredicates |
| first_indexed |
2023-05-20T17:48:50Z |
| last_indexed |
2023-05-20T17:48:50Z |
| _version_ |
1796154144661176320 |