Agent Semantics, Semantic Spacetime, and Graphical Reasoning

Fuente: arXiv
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Main Author: Burgess, Mark
Format: Preprint
Published: 2025
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author Burgess, Mark
author_facet Burgess, Mark
contents Some formal aspects of the Semantic Spacetime graph model are presented, with reference to its use for directed knowledge representations and process modelling. A finite $γ(3,4)$ representation is defined to form a closed set of operations that can scale to any degree of semantic complexity. The Semantic Spacetime postulates bring predictability with minimal constraints to pathways in graphs. The ubiquitous appearance of absorbing states in any partial graph means that a graph process leaks information. The issue is closely associated with the issue of division by zero, which signals a loss of closure and the need for manual injection of remedial information. The Semantic Spacetime model (and its Promise Theory) origins help to clarify how such absorbing states are associated with boundary information where intentionality can enter.
format Preprint
id arxiv_https___arxiv_org_abs_2506_07756
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Agent Semantics, Semantic Spacetime, and Graphical Reasoning
Burgess, Mark
Artificial Intelligence
Machine Learning
Multiagent Systems
I.2.11; F.4.1; I.2.4; G.2.2
Some formal aspects of the Semantic Spacetime graph model are presented, with reference to its use for directed knowledge representations and process modelling. A finite $γ(3,4)$ representation is defined to form a closed set of operations that can scale to any degree of semantic complexity. The Semantic Spacetime postulates bring predictability with minimal constraints to pathways in graphs. The ubiquitous appearance of absorbing states in any partial graph means that a graph process leaks information. The issue is closely associated with the issue of division by zero, which signals a loss of closure and the need for manual injection of remedial information. The Semantic Spacetime model (and its Promise Theory) origins help to clarify how such absorbing states are associated with boundary information where intentionality can enter.
title Agent Semantics, Semantic Spacetime, and Graphical Reasoning
topic Artificial Intelligence
Machine Learning
Multiagent Systems
I.2.11; F.4.1; I.2.4; G.2.2
url https://arxiv.org/abs/2506.07756