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IndisputableMonolith.Linguistics.LanguageAcquisitionFromJCost

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Module applies the Canonical J-Cost Band template to linguistics by defining phonological features and their counts, then packaging them into LanguageAcquisitionCert. It certifies language acquisition as one instance in the Recognition Science master chain of domain certifications. The structure reuses the six-clause J-cost-on-ratio template that establishes J(1) = 0 and nonnegativity of J(x) for x > 0. Researchers working on foundations of language or cross-domain certs would cite it for its placement in the B-tier openings.

claimLanguageAcquisitionCert asserts that the J-cost function on ratios of phonological feature counts satisfies the six canonical band conditions, including $J(1) = 0$ and $J(x) ≥ 0$ for $x > 0$.

background

Recognition Science derives all domains from the single J-cost functional equation. This module imports the Canonical J-Cost Band, whose doc-comment states it supplies the reusable six-clause template used across the master cert chain for B-tier whole-science openings and the Plan v7 domain certs. The template requires matched-zero at J(1) = 0 together with nonnegativity J(x) ≥ 0 for x > 0 and four further clauses on the J-cost-on-ratio form.

proof idea

This is a definition module, no proofs. It first introduces the basic objects PhonologicalFeature and phonologicalFeatureCount, then assembles LanguageAcquisitionCert by direct application of the upstream CanonicalJBand template to those counts.

why it matters in Recognition Science

The module supplies the linguistics domain certification inside the master cert chain. It follows the Plan v7 structure for the forty-something domain certs and feeds the B-tier whole-science openings that aggregate individual domain results. The upstream doc-comment notes the template is reused precisely for such domain-specific placements.

scope and limits

depends on (1)

Lean names referenced from this declaration's body.

declarations in this module (4)