Shared Contract

Mathematical Foundations

The monorepo centers on the six lattice axioms and the shared defaults that both runtimes load.

Shared axioms

The product promise starts with a concrete workflow: explainable architecture decision review. The math sits underneath that workflow so selected perspectives, replay, and structural recommendations remain consistent across Python and Syntropy.

The shared contract centers on six lattice laws that both runtimes test with the same stable identifiers.

join(a, b) == join(b, a)
join(a, join(b, c)) == join(join(a, b), c)
join(a, a) == a
join(a, meet(a, b)) == a
position(join(a, b)) >= max(position(a), position(b))
position(meet(a, b)) <= min(position(a), position(b))

Runtime behavior beyond the axioms is also fixture-driven: semantic routing, auto strategy resolution, EMA positioning, connection tracking, Trust V1 structural recommendations, and replay history all have shared deterministic fixtures so Python and Syntropy can evolve without semantic drift.