Author

Francisco G. Montoya

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Preprint Aug 2026

Where Cognition Lives: Dissecting Emergent from Computed Function in a Minimal Complete Cognitive Architecture

A cognitive architecture is more than the module that reasons: it must also decide how long to think and what deserves the effort. We built a minimal but complete system - a recurrent reasoner with adaptive halting, a homeostatic control field, and a value module - and asked of each part: does this function emerge from...

F. Arrabal-Campos, Francisco G. Montoya, A. Alcayde et al. · 1 citation

Preprint Aug 2026

Can a Dynamic Internal Field Govern a Transformer's Cognition? Certifiability, not Superiority, in Homeostatic Compute Control

A discrete Schur-Cohn criterion for Verlet with velocity coupling, necessary and sufficient per latent root, with no commutation hypothesis is proved here: a discrete Schur-Cohn criterion for Verlet with velocity coupling.

F. Arrabal-Campos, Ignacio Fernández, Francisco G. Montoya et al. · 1 citation