Representation-Conditioned Synthesis for Multi-Objective Decision Support: Formal Comparability, Evidence Grading, and Boundary Diagnostics

The manuscript is scientifically substantive and profile-aligned (proof-first survey with explicit theorem/lemma/proof structure, strong citation coverage, and executed evidence integration), but it cannot be approved yet. Three major blockers remain: (1) compiled page evidence shows only 9 main-body pages before references/appendix, below the required 10-page minimum; (2) formal closure is incomplete because SYM-C1-02 remains unresolved; and (3) canonical validation_simulation output is still a failure-wrapper, so claim-evidence termination is not fully traceable in canonical phase artifacts.

The manuscript for Survey of Mathematical Methods for Multi-Objective Decision Support is coherent, grounded in available evidence, and packaged in a review-ready form.

- Major blocker | affected claim: manuscript completeness for publication-ready survey body | missing/contradictory evidence: compiled PDF shows references begin on page 10 and appendix begins on page 13, leaving only 9 main-body pages before references/appendix, below the required 10-page minimum | owning phase: writing_presentation | acceptance condition: compile updated manuscript where references begin on page >=11 while maintaining substantive scientific prose (not filler). - Major blocker | affected claim: theorem-level closure for representation-typing impossibility chain | missing/contradictory evidence: symbolic ledger still records SYM-C1-02 as failed, so formal closure is incomplete even though empirical support is strong | owning phase: derive_math_methodology | acceptance condition: either prove SYM-C1-02 and regenerate symbolic report/theorem-audit closure, or explicitly narrow theorem scope and update all linked claims/tables/appendix language consistently. - Major blocker | affected claim: reproducible claim-evidence termination in canonical pipeline outputs | missing/contradictory evidence: phase_outputs/validation_simulation.json remains a failure-wrapper payload and does not canonically register executed artifacts/tests referenced by manuscript claims | owning phase: validation_simulation | acceptance condition: emit schema-complete canonical validation_simulation output with execution_report status completed, artifact URIs, command provenance, and claim-support links aligned to manuscript tables/figures. - Minor polish | affected claim: equation-to-text closure in appendix | missing/contradictory evidence: appendix equation eq:coupling_term is not referenced elsewhere after introduction in Section A.2 | owning phase: writing_presentation | acceptance condition: reference the equation in nearby explanatory prose or remove it to avoid orphan formalism.

- Major blocker | affected claim: manuscript completeness for publication-ready survey body | missing/contradictory evidence: compiled PDF shows references begin on page 10 and appendix begins on page 13, leaving only 9 main-body pages before references/appendix, below the required 10-page minimum | owning phase: writing_presentation | acceptance condition: compile updated manuscript where references begin on page >=11 while maintaining substantive scientific prose (not filler). - Major blocker | affected claim: theorem-level closure for representation-typing impossibility chain | missing/contradictory evidence: symbolic ledger still records SYM-C1-02 as failed, so formal closure is incomplete even though empirical support is strong | owning phase: derive_math_methodology | acceptance condition: either prove SYM-C1-02 and regenerate symbolic report/theorem-audit closure, or explicitly narrow theorem scope and update all linked claims/tables/appendix language consistently. - Major blocker | affected claim: reproducible claim-evidence termination in canonical pipeline outputs | missing/contradictory evidence: phase_outputs/validation_simulation.json remains a failure-wrapper payload and does not canonically register executed artifacts/tests referenced by manuscript claims | owning phase: validation_simulation | acceptance condition: emit schema-complete canonical validation_simulation output with execution_report status completed, artifact URIs, command provenance, and claim-support links aligned to manuscript tables/figures.

- validation_simulation: rerun canonical validation phase using the environment-correct command path and publish phase_outputs/validation_simulation.json with status=completed, explicit artifacts (datasets, figures, tables, symbolic reports), and claim-level evidence mapping; closure test: JSON validates and no failure-wrapper payload remains. - derive_math_methodology: close SYM-C1-02 by adding the missing dominance-equivalence bridge proof or by narrowing theorem_1 statement; closure test: experiments/representation_first_validation/symbolic/sympy_checks.csv reports SYM-C1-02=True and theorem-audit narrative is synchronized in manuscript and trace. - writing_presentation: expand main-body scientific content (preferably formal analysis/related-work integration and assumption-boundary discussion) so references start on page 11 or later; closure test: compiled paper/main.pdf shows >=10 pages before references and appendix with coherent prose sections. - writing_presentation: resolve appendix formalism hygiene by explicitly citing eq:coupling_term in interpretation text or removing the orphan equation; closure test: no unreferenced equation labels remain in manuscript equation map. - revision: after the three upstream closures, refresh limitations/discussion wording to reflect closed status (or narrowed scope) and keep operational context statements confined to reproducibility framing; closure test: abstract/introduction/contribution framing contains no execution-constraint novelty leakage.