TAPO-Description Logic for Information Behavior: Refined OBoxes, Inference, and Categorical Semantics
Abstract
This paper develops a refined version of TAPO-description logic for the analysis of information behavior. The framework is treated not as a single homogeneous object logic, but as a layered formalism consisting of a static descriptive layer (TBox/ABox), a procedural layer (PBox), and an oracle-sensitive layer (OBox). To make this architecture mathematically explicit, we introduce a metalevel guard-judgment layer governing procedural branching and iteration. On this basis we formulate a core inference system for TAPO-description logic, covering static TBox/ABox reasoning, guarded procedural transition in the PBox, and validated external import in the OBox. We then give a categorical semantics for the resulting framework and indicate its sheaf-theoretic refinement. The theory is illustrated by examples of information-seeking behavior, including simple search behavior and review-sensitive ordering behavior in a curry restaurant. The aim is to treat not only static knowledge representation but also hesitation, external consultation, and action-guiding update within a unified logical setting.
Keywords
Cite
@article{arxiv.2604.21172,
title = {TAPO-Description Logic for Information Behavior: Refined OBoxes, Inference, and Categorical Semantics},
author = {Takao Inoué},
journal= {arXiv preprint arXiv:2604.21172},
year = {2026}
}
Comments
23 pages, 2 figures. Substantially expanded version of arXiv:2602.17242; adds a guard-judgment layer, refined OBoxes, core inference rules, categorical semantics, sheaf-theoretic refinement, and a browsing-theory appendix