# BiDi Coherence–Delta Calculus. ## A language for change BiDi is a native .cdc language and coherence-calculus kernel for continuous flow, guarded balanced-ternary commits, nested bidirectional coupling, and trace/window measurement. Its documented primitive reductions are flow, commit, and nest. Balanced ternary values −1, 0 and +1 describe bounded contraction, open equilibrium and expansion carriers in the source vocabulary. ## Executable, with boundaries The source context identifies C runtimes, formal mirrors for bounded obligations, a verification gate, and replay. The public repository remains the authority for current implementation state. This website uses ordinary world and interaction mechanics. Its animations do not validate the calculus or its surrounding physics programs. ## Source and status Formal/executable research companion. Authored public-source summary snapshot, August 2026. Full author manuscript is awaiting source.