Section 8.2, paragraph 1Local restrictions in Condorcet-domain search: a motivating analogy, not a reduction
Informal interpretation Motivation, interpretation or scope; not a formal claim.
1 Paper text
Exposing local invariants may also help guide combinatorial search. Our work on large Condorcet domains used structural constructions and local restrictions (Karpov et al., 2023; Zhou et al., 2024; Zhou, 2024). This is a motivating analogy, not an reduction or a demonstrated parity lower bound for that search problem. Transferring the present argument requires a precisely encoded computational task.
Generated from paper_jmlr.tex, lines 1230–1232.
2 Explain this
Exposing local invariants may help combinatorial search elsewhere. The paper mentions its authors' work on large Condorcet domains, which used structural constructions and local restrictions, and says explicitly that this is a motivating analogy: not an AC0 reduction and not a parity lower bound for that problem.
3 How this is formalised
An analogy citing related work; nothing is claimed formally.
| Paper anchor | sec:math-p1 (website anchor; the manuscript has no label here) |
|---|---|
| Displayed as | Section 8.2, paragraph 1 |
| Claim | Local restrictions in Condorcet-domain search: a motivating analogy, not a reduction |
| Coverage category | Informal interpretation |
| Statement source | paper_jmlr.tex lines 1230–1232; SHA-256 of the normalised block source 9ea6ac4eb126427c… |
| Explanations | explain/c-condorcet, formal/c-condorcet |
| Build evidence | fresh isolated rebuild, audit report |
4 Lean statement and source
No Lean statement corresponds to this claim. This is interpretation or motivation, not a formal mathematical claim.
Build evidence: fresh isolated rebuild of all 38 bundled modules with Lean (version 4.26.0, started 2026-10-10T15:21:56Z, finished 2026-10-10T15:27:00Z: 38/38 modules compiled, 1588 axiom reports, no errors. See Build for the commands and the independent audit of 2026-10-10 (dated evidence).