{"slug":"hunter-logic-is-conscious","identifier":"hunter-logic-is-conscious","title":"Proof Logic is Conscious by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"2dac617fac5bc1736c481d1bdb49744653c2e12d16403b7b14bec9e3a6935c7a","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T16:20:12.424Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:41:00.403Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.inference_2"],"units":[{"id":"inference_1","sourceStatement":"{P, Q, R} |= (P & Q) <-> R","sourceOffset":1459,"scope":"Exact source sequent under finite two-valued propositional semantics. Source proposition meanings and Logic/Logos/God Ground are preserved separately; this checks the inference, not unencoded prose.","variables":["P","Q","R"],"premises":["P","Q","R"],"conclusion":"(P & Q) <-> R","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 : Bool) :\n    ((!((v0 && v1) && v2)) || ((v0 && v1) == v2)) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> decide\n#print axioms inference_1\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_1"},{"id":"inference_2","sourceStatement":"{P, Q, R} |= (P & Q) <-> R","sourceOffset":2426,"scope":"Exact source sequent under finite two-valued propositional semantics. Source proposition meanings and Logic/Logos/God Ground are preserved separately; this checks the inference, not unencoded prose.","variables":["P","Q","R"],"premises":["P","Q","R"],"conclusion":"(P & Q) <-> R","status":"candidate","leanStatement":"theorem inference_2 (v0 v1 v2 : Bool) :\n    ((!((v0 && v1) && v2)) || ((v0 && v1) == v2)) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> decide\n#print axioms inference_2\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_2"}],"files":{"source.json":{"sha256":"e21bfff288e62bb6eae24dea4276d3be700d592284f759407448b6152c617ec6","bytes":4156},"Proof.lean":{"sha256":"e16e0064ab2e9cd6b3db02ffc8e89c19ede79615a71d67b3510b210006911d3b","bytes":649},"lean-check.txt":{"sha256":"9dd24ecb3d82c309e42e8e914b5df3ec490fd2259644de7d887fca9eeff5dfe5","bytes":174}},"boundary":"Lean establishes the listed formal statements and dependencies. 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