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Research notes

Published contributions to higher structure and computational meaning. Each note states its review classification.

Editorially reviewed

Semantic Uniqueness and Non-Uniqueness of Machine Realizations

This note distinguishes equivalence of computational realizations from equivalence of their homotopy n-truncated operational semantics. It treats finite specifications, trace reification, semantic cofinality, and recursive self-improvement, arguing that a unique semantic class can admit inequivalent machine realizations.

Anonymous
Editorial primer

Identity is a space of paths

A short orientation to identity types, groupoid structure, and the distinction between equality and judgmental computation.

The editors
Editorial primer

Observing a stateful system

Coalgebras describe observable transitions. Bisimulation asks when distinct states remain indistinguishable under observation.

The editors
Editorial primer

A constructive view of univalence

Why interval structure and Kan composition belong in a conversation about the computational content of equality.

The editors