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LIT-272: Reasoning about Meaning in Natural Language with Compact Closed Categories and Frobenius Algebras

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StatusActive — read in full 2026-09-27 (NOTE-246); worth reading for the construction, not for its evidence. It is the citable categorical statement of the Frobenius lift of DisCoCat verbs: the functorial recasting, S=N=W, and the copy-subject and copy-object maps. Its experiments are the authors' COLING 2012 numbers, re-reported without that paper's caveat that copy-object's lead is statistically insignificant. The best disambiguation ρ is 0.172, against a human bound of 0.620. The construction depends on a choice of basis, which the paper cites but never draws the consequence of.
Version2
Tagslinguistics, compositionality, mathematics, representation-learning, logic, philosophy-of-language
ExtendsLIT-273 — Mathematical Foundations for a Compositional Distributional Model of Meaning
Cited as “paper” byNOTE-246 — Reasoning about Meaning in Natural Language with Compact Closed Categories and Frobenius Algebras
Cited as “source” byTHEORY-017 — In a Hilbert-space model only unitarily invariant structure is intrinsic; a basis or tensor factorisation, and so any parts or features, is extra data supplied from outside the space, and the record's Hilbert-space works differ in where they get it

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Kartsaklis, Sadrzadeh, Pulman & Coecke (2014), Logic and Algebraic Structures in Quantum Computing (Chubb, Eskandarian & Harizanov, eds.), Cambridge University Press, 2016, ch. 9, pp. 199–222 — ARXIV-1401.5980

Standing in the record

Filed on 2026-09-27 at the owner’s request, with the foundational DisCoCat paper it builds on filed in the same contribution. It is held here rather than in the anthology because it is a formal account of linguistic meaning, not a practice. published: is the arXiv v1 date, the first appearance (ADR-002); the chapter appeared in 2016.

It was filed Deferred, unread. NOTE-246 is the close reading of 2026-09-27, and it placed the work: Active — worth reading for the construction, not for its evidence. It is the citable categorical statement of the Frobenius lift of DisCoCat verbs: the functorial recasting, S=N=W, and the copy-subject and copy-object maps. Its experiments are the authors’ COLING 2012 numbers, re-reported without that paper’s caveat that copy-object’s lead is statistically insignificant. The best disambiguation ρ is 0.172, against a human bound of 0.620. The construction depends on a choice of basis, which the paper cites but never draws the consequence of.

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