Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2003

Аннотация: In terms of formal deductive systems and multi-dimensional Kripke frames we study logical operations know, informed, common knowledge and common information. Based on [6] we introduce formal axiomatic systems for common information logics and prove that these systems are sound and complete. Analyzing the common information operation we show that it can be understood as greatest open fixed points for knowledge formulas. Using obtained results we explore monotonicity, omniscience problem, and inward monotonocity, describe their connections and give dividing examples. Also we find algorithms recognizing these properties for some particular cases.

Журнал: Archive for Mathematical Logic

Выпуск журнала: Т. 42, № 2

Номера страниц: 179-200

ISSN журнала: 09335846

Издатель: Springer-Verlag GmbH

• Rybakov V.V. (Department of Computing and Mathematics, Manchester Metropolitan University, Manchester, UK. e-mail: v.Rybakov@mmu.ac.uk)

• Scopus
• Web of Science Core Collection
• Ядро РИНЦ (eLIBRARY.RU)