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1996•Journal of Applied Non-Classical LogicsRequires access

Many-dimensional arrow logics

Dimiter Vakarelov

Open publisher page 3 citations

Abstract

The notion of n-dimensional arrow structure is introduced, which for n = 2 coincides with the notion of directed multi-graph. In part I of the paper several first-order and modal languages connected with arrow structures are studied and their expressive power is compared. Part II is devoted to the axiomatization of some arrow logics. At the end some further perspectives of “arrow approach” are discussed.

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What this paper is about

The notion of n-dimensional arrow structure is introduced, which for n = 2 coincides with the notion of directed multi-graph. In part I of the paper several first-order and modal languages connected with arrow structures are studied and their expressive power is compared. Part II is devoted to the axiomatization of some arrow logics. At the end some further perspectives of “arrow approach” are discussed.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The notion of n-dimensional arrow structure is introduced, which for n = 2 coincides with the notion of directed multi-graph. In part I of the paper several first-order and modal languages connected with arrow structures are studied and their expressive power is compared. Part II is devoted to the axiomatization of some arrow logics. At the end some further perspectives of “arrow approach” are discussed.

Key concepts: Arrow, Arrow of time, Expressive power, Mathematics, Modal, Computer science, Discrete mathematics, Pure mathematics

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