Token Space: A Category Theory Framework for AI Computations

Excerpt

arXiv:2404.11624v2 Announce Type: replace-cross Abstract: We introduce the Token Space, a categorical framework for AI computations. A Token is a finite tuple whose entries are elements of a carrier set or symbols of a fixed core; a Token class is a set together with a heap of such Tokens, and Token maps are the functions preserving every Token. The Token Space is built from the category of sets by adjoining identity set categories, forming products and taking a subsets extension. We prove that