neural/neural specs.md

neural — reference

the reference layer for neural, the semantic language of soft3. these specs are the law: the primitives, their data, their semantics. the conceptual treatment is in explanation/; the vision in README.

the ladder

neural builds meaning from the sigil up — the densest operator, then the word it names, then structure to convention, then the lexicon it reads back:

primitive role home
sigil base operator — point and act; the densest unit sigils.md
word the unit of meaning — a typed particle word.md
link the atom relation — word → word cybergraph (referenced)
sentence linear — a chain of links in one signal sentence.md
motif non-linear — a recurring subgraph shape motif.md
dialect convention — an agreed collection of sentences and motifs dialect.md
lexicon the living vocabulary — top words by φ* lexicon.md

the wire format that carries them: wire.md. the surface that speaks them: cli.md (neu).

cross-cutting law

  • a word is the unit of meaning — a typed particle; a bare particle is a content node, a word carries a type and a name. the lexicon holds the words in use (top by φ*).
  • the atom relation is the link — a staked assertion binding two words, from → to. neural is the language of links; link is the graph's unit of knowledge.
  • the cybergraph bundles all the links on a pair into an axon — itself a particle (axiom A6), the grain the tri-kernel flows along. a link (the assertion) and an axon (the bundle) are the graph's two readings of an edge; both live in cybergraph, neural references them.
  • neural reads meaning; it does not compute it. φ* — the focus distribution that ranks every particle and axon — is computed by tru (the tri-kernel fixed point) and settled by zheng. neural consumes φ*; it never runs the kernel.
  • a sigil is neural's base operator and its densest unit — point and act. like the in English (the most frequent word), the sigils carry structure over content; you can express almost anything with the alphabet alone. it lives in the neural sigils (sigils.md), folded in from the address language; every link is two sigils joined.
  • a signal is the unit of submission: one atomic batch of links.
  • one operator, one ladder: the tri-kernel is the graph Laplacian and its heat kernel (diffusion / springs / heat = the heat exponential / the spectral embedding / the scale τ), promoted from link to axon to motif along the simplicial ladder and interpreted by a dialect (a functor). φ*, the lexicon, dialect discovery, and the tension that marks polysemy are readings of one eigenproblem. a staked link is an optic, so reward composes along sentences and motifs. see frontier.

Folder

Graph