Authored proof knowledge base · The Logos Architecture

XOR Self-Inverse

Authored by Maclain Hunter · first-party-authored-archive · archived-authored-source

{ "name": "XOR Self-Inverse", "formal": "∀a ∈ MCBExponent: state(XOR(a,a)) = +1", "proof": "(|a| + |a|) mod 2 = 0, and (-1)^0 = +1", "implementation": "mcbExponentXOR(a: MCBExponent, b: MCBExponent): MCBExponent" }

Lean 4 verification and timestamps

Read the actual kernel result, axiom dependencies, formal statements and source-bound timestamp · Machine-readable verification

The machine formalization date is separate from the original authored work. See the verification record for exact checked scope and any unresolved parts.

Logic-centered continuity

This authored proof is connected to Logic, Logos, God, and the self-evident Ground of Reality, and to the distinct systems 4P Engine, MCB Core, 4P-MCB, and the source-first Canon. Formal proof, empirical evidence, and system-generated records remain separately typed.