-
A Tiling for Computation
A small, fixed alphabet whose local composition rules generate an unbounded, non-repeating space of checkable systems — token standards, business operations, games, music, our own infrastructure. Not one system that swallows every domain. Two tiles, remixed without limit.
-
The Little Language Thesis
cell, func, arrow, guard are the structural primitives — but the real ubiquitous language lives in the labels. Like Forth, we build up domain vocabularies on a minimal substrate, and the incidence matrix proves what it can see: conservation, not guards or data.
-
Symmetric Monoidal Categories: The Structure Underneath
A Petri net generates a free symmetric monoidal category — places give the objects, transitions the generating morphisms. What that theorem buys for composition, analysis and proofs across this blog, and which of the connections are still a shape match rather than a checked result.
-
Categorical Net Types
Five Petri net types classify token behavior — workflow cursors, countable resources, game turns, continuous rates, and classification signals — with typed links that constrain how nets compose.