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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Математическая логика, алгебра и теория чисел
Non-unifiability in linear temporal logic of knowledge with multi-agent relations
S. I. Bashmakova, A. V. Koshelevab, V. Rybakovc a Institute of mathematics and computer science, Siberian Federal University, pr. Svobodny, 79, 660041, Krasnoyarsk, Russia
b Institute of space and informatic technologies, Siberian Federal University, Kirenskogo St. 26, ULK building, 660074, Krasnoyarsk, Russia
c Department of Computing and Mathematics, John Dalton Building, Chester Street, Manchester M1 5GD, UK
Аннотация:
The paper is devoted to the study of the unification problem in the linear temporal logic of knowledge with multi-agent relations (denoted in the sequel as $LFPK$). This logic is based on frames (models) with time points represented by integer numbers from $Z$ and the information clusters $C^i$ for $i \in Z$ with multi-agent accessibility relations $R_i$.
The first main result is a theorem describing a criterion for formulas
to be not unifiable in $LFPK$. The second one is a construction of a basis for all inference rules passive in $LFPK$.
Ключевые слова:
unification, modal temporal logic, passive inference rules.
Поступила 9 апреля 2016 г., опубликована 17 августа 2016 г.
Образец цитирования:
S. I. Bashmakov, A. V. Kosheleva, V. Rybakov, “Non-unifiability in linear temporal logic of knowledge with multi-agent relations”, Сиб. электрон. матем. изв., 13 (2016), 656–663
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/semr702 https://www.mathnet.ru/rus/semr/v13/p656
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