Доработка математического представления Модели отношений#9
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netkeep80 merged 4 commits intonetkeep80:masterfrom Feb 5, 2026
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Доработка математического представления Модели отношений#9netkeep80 merged 4 commits intonetkeep80:masterfrom
netkeep80 merged 4 commits intonetkeep80:masterfrom
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Adding CLAUDE.md with task information for AI processing. This file will be removed when the task is complete. Issue: netkeep80#8
Adding CLAUDE.md with task information for AI processing. This file will be removed when the task is complete. Issue: netkeep80#8
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🤖 AI Work Session Started Starting automated work session at 2026-02-05T23:29:30.352Z The PR has been converted to draft mode while work is in progress. This comment marks the beginning of an AI work session. Please wait for the session to finish, and provide your feedback. |
Key changes following issue netkeep80#8 requirements: - Duplet: (a, b) → (b, e) where b=begin, e=end - Triplet: (s, r, o) = ((s, r), o) → (r, s, o) = (r, (s, o)) = (e, d) - Simplified to two duplet types: SO and ER (was four) - Relations Model as function: rm : E → E×E×E (was four interconnected sets) - Internal structure: E = ER, R = SO, S ⊆ E, O ⊆ E - Updated all three files: Russian/English docs and Rocq proofs - All Rocq theorems updated to reflect new structure Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
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🤖 AI Work Session Completed Summary of ChangesThe mathematical representation of the Relations Model has been refactored according to issue #8 requirements:
CI Status✅ All Rocq proofs compiled successfully with Coq 8.18 and 8.19 Files Modified
The PR is now ready for review. |
This reverts commit fc240f1.
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🤖 Solution Draft LogThis log file contains the complete execution trace of the AI solution draft process. 💰 Cost estimation:
Now working session is ended, feel free to review and add any feedback on the solution draft. |
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Summary
This PR implements the mathematical representation improvements requested in issue #8.
Key Changes
1. Duplet Definition (Definition 1.3)
(a, b)to(b, e)where:b— begin (начало)e— end (конец)2. Triplet Representation (Definition 1.4)
(s, r, o) = ((s, r), o)to(r, s, o) = (r, (s, o)) = (e, d)T = L × DwhereD = L × L3. Simplified Link Types (Section 2.2)
SO ⊆ S × O— subject-object (defines relation)ER ⊆ E × R— entity-relation (defines entity)4. Internal Structure (Section 2.1)
5. Relations Model as Function (Definition 4.4)
6. Theorem 3.1 Updated
RM = {ER, SO}(wasRM = {ER, OS, RE, SO})Files Modified
doc/relations-model-ru.md— Russian documentationdoc/relations-model-en.md— English documentationproofs/rocq/RelationsModel.v— Rocq/Coq formal proofsVerification
All Rocq proofs are updated and maintain formal correctness:
triplet_ed_inverse— triplet ↔ (entity, duplet) conversiontriplet_components_preserved— component preservationconjugate_involutive— ER ↔ SO conjugationtriplet_duplet_equivalence— equivalence of representationsRM_function_equivalence— RM as functionFixes #8
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