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Geometric theories, classifying toposes, Morita checks, theory builders. Use for §6 topos-theoretic semantics and bridges between syntactic/semantic theories.
Codex 또는 Claude로 설치 이 Prompt를 복사해 Codex, Claude 또는 다른 어시스턴트에 붙여 넣으면 Skill 페이지를 검토하고 설치를 진행할 수 있습니다.
SOC 직업 분류 기준
Linguistic case formally typed as an analytic category — CaseRole, Morphism, AlignmentFunctor, MonoidalFunctor, Natural Transformations. Crucial for §2 core topology, downstream §7c DAIF alignment, and §9b adversarial injection formal verification.
Scalar active inference on case diagrams — beliefs, variational free energy, belief updates, prediction error, EFE, N400/P600 proxies. Use for §7; use src.daif for distributional returns and full ERP pipeline (§7c).
Distributional Active Inference — push-forward returns, quantile/IQN updates, VMP/Bethe FE, distributional case assignment, policy G(π), ERP profiles, convergence metrics. Use for manuscript §7c and quantitative DAIF results.
DisCoCat/DisCoCirc-style string diagrams, complexity metrics, ditransitive constructions, discourse-level prompt scanning. Use for manuscript §3–§4c (and cross-links to §5b magnitude homology metrics, §9b protocol-level checks where `Discourse` is used).
[0,1]-enriched categories, standard proximity matrix, categorical magnitude helpers. Use for §5 distributional proximity and enrichment that feeds cognitive/security modules.
POVM-based quantum case assignment — CasePOVM, case probabilities, crisp/graded/fluid-S POVM factories, semantic state helpers. Use for §8 and §8b quantum semantics.
| name | ccd-topos-theory |
| description | Geometric theories, classifying toposes, Morita checks, theory builders. Use for §6 topos-theoretic semantics and bridges between syntactic/semantic theories. |
src/topos_theory/from src.topos_theory import (
TheoryType, Axiom, GeometricTheory, ClassifyingTopos,
check_morita_equivalence,
build_typological_theory, build_enriched_theory,
)
§6.