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62 lines
1.7 KiB
JSON
62 lines
1.7 KiB
JSON
{
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"source_description": "Erdos-Szekeres monotone subsequence theorem cleanup",
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"source_object": {
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"problem": "Prove any sequence of distinct real numbers of length (r-1)(s-1)+1 has an increasing subsequence of length r or decreasing subsequence of length s.",
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"raw_route": "search all subsequences"
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},
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"weights": {
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"complexity": 1.0,
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"residual": 1.2,
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"scar": 1.5,
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"invariant": 2.0,
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"proof_burden": 0.8
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},
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"warden_threshold": 0.25,
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"candidate_moves": [
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{
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"id": "builder_label_map",
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"builder": {
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"operation": "replace_subsequence_search_with_label_grid",
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"proposal": "Map each term a_i to (I_i,D_i), longest increasing/decreasing subsequence ending at i.",
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"delta_complexity": -0.86,
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"delta_residual": -1.0
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},
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"judge": {
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"invariant_preserved": true,
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"receipt_pass": true,
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"tests": [
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"distinct input sequence",
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"label injectivity",
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"avoidance box capacity"
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]
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},
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"warden": {
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"penalty": 0.0,
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"blocks": []
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}
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},
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{
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"id": "bad_infinite_generalization",
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"builder": {
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"operation": "generalize_to_infinite_sequences_without_boundary",
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"proposal": "Claim same finite pigeonhole result for arbitrary infinite sequences.",
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"delta_complexity": -0.2,
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"delta_residual": 0.5
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},
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"judge": {
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"invariant_preserved": false,
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"receipt_pass": false,
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"tests": [
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"finite theorem boundary violated"
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]
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},
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"warden": {
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"penalty": 1.0,
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"blocks": [
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"overclaim",
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"missing_boundary"
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]
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}
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}
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]
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}
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