neberu 0.0.0

Exact geometric algebra from the balanced ternary axiom. Governed rewriting, self-certifying canonicalization via the Kase Optimality Theorem.
Documentation
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// std/trit.neb
// The Trit algebra — the axiom expressed in its own language.
// Loading this file gives you the complete Trit governance as a Geoit.
// The system describes its own foundation.

type imag = { x * x = -1 }
type dual = { x * x = 0  }
type hyp  = { x * x = 1  }

// The three fundamental self-relations.
// A generator IS its square signature.
for x : imag  =>  x * x = -1
for x : dual  =>  x * x = 0
for x : hyp   =>  x * x = 1

// Anticommutativity: distinct generators anticommute.
// This is the one rule that makes Clifford algebra Clifford algebra.
for a : any, b : any where ordered(a, b)  =>  b * a = -a * b