Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2001

Аннотация: We look into methods which make it possible to determine whether or not the modal logics under examination are residually finite w.r.t. admissible inference rules. A general condition is specified which states that modal logics over mathK4/math are not residually finite w.r.t. admissibility. It is shown that all modal logics math\lambda/math over mathK4/math of width strictly more than 2 which have the co-covering property fail to be residually finite w.r.t. admissible inference rules; in particular, such are mathK4/math, mathGL/math, mathK4.1/math, mathK4.2/math, mathS4.1/math, mathS4.2/math, and mathGL.2/math. It is proved that all logics math\lambda/math over mathS4/math of width at most 2, which are not sublogics of three special table logics, possess the property of being residually finite w.r.t. admissibility. A number of open questions are set up.

Журнал: Algebra and Logic

Выпуск журнала: Т. 40, № 5

Номера страниц: 334-347

ISSN журнала: 00025232

Место издания: Новосибирск

Издатель: Springer New York Consultants Bureau

• Rybakov V.V. (Krasnoyarsk State University, Svobodnyi Prospekt 79, Krasnoyarsk 660049)
• Kiyatkin V.R. (Krasnoyarsk State University, Svobodnyi Prospekt 79, Krasnoyarsk 660049)
• Oner T. (Ege University, Bornova-Izmir, 35100 Turkey)

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