{"slug":"hunter-aep-logical-simulation","identifier":"hunter-aep-logical-simulation","title":"AEP Logical Simulation","author":"Maclain Hunter","sourceSha256":"e5e29678dd6df34eeb2ec69a1f10b16794eedbce7297c5c8155cdda52f3031f0","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T23:43:25.377Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:37:16.198Z","status":"partial","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_2"],"units":[{"id":"inference_1","sourceStatement":"{P, Q, R} |= ~(P & LRO)","sourceOffset":169,"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":["LRO","P","Q","R"],"premises":["P","Q","R"],"conclusion":"~(P & LRO)","status":"countermodel","countermodel":{"LRO":true,"P":true,"Q":true,"R":true},"reason":"The written sequent alone has a countermodel. No authored wording or unstated premise was changed.","kernelStatus":"not_checked"},{"id":"inference_2","sourceStatement":"{P, P -> Q, Q -> R, R -> S} |= (P & Q) & (R & S)","sourceOffset":194,"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","S"],"premises":["P","P -> Q","Q -> R","R -> S"],"conclusion":"(P & Q) & (R & S)","status":"candidate","leanStatement":"theorem inference_2 (v0 v1 v2 v3 : Bool) :\n    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((v0 && v1) && (v2 && v3))) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide\n#print axioms inference_2\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_2"}],"files":{"source.json":{"sha256":"60ab2c98dc5c4af72347bbf2ead62ec7e6be99ac71db2fe7fdbdf8a5f9b1d0f5","bytes":818},"Proof.lean":{"sha256":"95685f0b98f4a7d470d657a38cc11dcd1458fb2560744ba358270c4f1ff960d0","bytes":516},"lean-check.txt":{"sha256":"740863296048b83b7cd879ce809b9047c55288a43dfa8b77f4b45e1d50e9c3b3","bytes":115}},"boundary":"Lean establishes the listed formal statements and dependencies. The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. No unencoded section is certified by a neighboring theorem.","currentSourceSha256":"e5e29678dd6df34eeb2ec69a1f10b16794eedbce7297c5c8155cdda52f3031f0","timestamp":"2026-10-03T10:42:55.000Z","timestampAuthority":"https://www.freetsa.org","manifestSha256":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4","url":"/proof-verification/hunter-aep-logical-simulation","jsonUrl":"/proof-verification/hunter-aep-logical-simulation.json","leanUrl":"/proof-verification/hunter-aep-logical-simulation.lean","graph":{"@context":"https://schema.org","@type":"SoftwareSourceCode","@id":"https://4p-engine.com/proof-verification/hunter-aep-logical-simulation#lean","name":"Lean 4 witness: AEP Logical Simulation","url":"https://4p-engine.com/proof-verification/hunter-aep-logical-simulation","dateCreated":"2026-10-03T10:37:05.082Z","dateModified":"2026-10-03T10:37:16.198Z","creator":{"@type":"Organization","name":"Replit Agent"},"programmingLanguage":{"@type":"ComputerLanguage","name":"Lean","version":"Lean (version 4.7.0, commit v4.7.0, Release)"},"author":{"@type":"Organization","name":"Replit Agent"},"description":"Lean establishes the listed formal statements and dependencies. The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. 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