Compositional Reasoning

Modular reasoning enabled by monoid and other algebraic laws; central to maintainability and correctness of functional systems.

Neighborhood — ranked by edge-count

concept

Monoid
supports
Standard algebraic abstraction with identity (ε) and associative binary operation ('); used to specify Image overlay operations.

cosine ≥ 0.65 · no typed edge

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

Compositional reasoning beyond Aristotle?question0.855
Secondary research question examining whether compositional frameworks can transcend classical logic.
Compositional Semanticsconcept0.843
Denotation function µ decomposes over operations so meaning of compound expressions follows from meanings of parts
compositional AIconcept0.840
Artificial intelligence built on compositional principles, including NLP and beyond
What is compositionality?question0.811
Primary guiding question for the paper; explores multiple formulations and uses of the term.
Compositionalityconcept0.810
Central concept: how meaning of wholes depends on meanings of parts and their structural arrangement; multiple formulations explored (Frege, Schrödinger, Whitehead, LEGO).
Compositional Intelligenceconcept0.808
Complete Compositionalityframework0.806
Strongest form of compositional theory requiring full decomposability and meaningful parts.
cyclic reasoning tasksconcept0.800
Language model reasoning tasks with cyclic geometric structure used to test manifold steering.