Intransitive Temporal Multi-agent's Logic, Knowledge and Uncertainty, Plausibility

Описание

Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций

Конференция: International Symposium on Logical Foundations of Computer Science (LFCS); Deerfield Beach, FL; Deerfield Beach, FL

Год издания: 2016

Идентификатор DOI: 10.1007/978-3-319-27683-0_25

Ключевые слова: Temporal logic, Multi-agent's logic, Non-transitive time, Deciding algorithms, Knowledge, Admissible rules, Multi-agent’s logic, Computability and decidability, Computation theory, Multi agent systems, Problem solving, Reconfigurable hardware, Decidability problems, Intransitivity, Mathematical problems, Multi agent, Truth values, Computer circuits

Аннотация: We study intransitive temporal logic implementing multiagent's approach and formalizing knowledge and uncertainty. An innovative point here is usage of non-transitive linear time and multi-valued models - the ones using separate valuations V-j for agent's knowledge of facts and summarized (agreed) valuation together with rules for Показать полностьюcomputation truth values for compound formulas. The basic mathematical problems we study here are - decidability and decidability w.r.t. admissible rules. First, we study general case - the logic with non-uniform intransitivity and solve its decidability problem. Also we consider a modification of this logic - temporal logic with uniform non-transitivity and solve problem of recognizing admissibility in this logic.

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Издание

Журнал: LOGICAL FOUNDATIONS OF COMPUTER SCIENCE (LFCS 2016)

Выпуск журнала: Vol. 9537

Номера страниц: 364-375

ISSN журнала: 03029743

Место издания: CHAM

Издатель: SPRINGER INT PUBLISHING AG

Персоны

  • Rybakov Vladimir (Manchester Metropolitan Univ, Sch Comp Math & DT, Chester St, Manchester M1 5GD, Lancs, England; Siberian Fed Univ, Math Inst, Krasnoyarsk, Russia)