Compositional Approaches to Linguistic Case for Cognitive Modeling

Commutative diagrams are treated as cognitively privileged representations: they jointly encode relational (algebraic) structure, the distributional semantics by which language reports on situations, and the inference process by which beliefs update under new evidence—with linguistic case (“who did what to whom”) as the natural hinge across these layers. The paper formalizes case systems as categories, represents cross-linguistic alignment patterns (nominative–accusative, ergative–absolutive, tripartite, active–stative, fluid-S) as structure-preserving functors, and develops DisCoCat / DisCoCirc string-diagram compositional semantics, enriched categorical hooks to quantitative similarity, and connections to Distributional Active Inference (including falsifiable ERP-oriented predictions) and POVM -style scaling for multi-agent discourse. A cognitive-security thread models multi-turn agent