Knowledge on Treelike Spaces

Konstantinos Georgatos

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Knowledge on Treelike Spaces

Konstantinos Georgatos

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Abstract

This paper presents a bimodal logic for reasoning about knowledge during knowledge acquisition. One of the modalities represents (effort during) non-deterministic time and the other represents knowledge. The semantics of this logic are tree-like spaces which are a generalization of semantics used for modeling branching time and historical necessity. A finite system of axiom schemes is shown to be canonically complete for the formentioned spaces. A characterization of the satisfaction relation implies the small model property and decidability for this system.

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Konstantinos Georgatos. 2000-07-21. Knowledge on Treelike Spaces. https://arxiv.org/abs/cs/0007032

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