Unit VII Notes: Compiler Diagnostics & Interactive Synthesis

Static Register Checking & Future Extensions

Automated Register Auditing (analyze_visual_registers())

When our static analyzer audits all seven propositions in ROSETTA_PROGRAMS, it verifies is_unambiguous == True across every proposition while automatically classifying Byrne’s two register-extension mechanisms:

• Symmetric Congruence Twins (I.5, I.47, IV.11): Multiple geom_ref paths deliberately share a visual token because their equality is an invariant of the configuration.

• Stroke Modulation (I.47, II.11, IV.10, IV.11): Dashed, dotted, and solid-dotted strokes expand 4 colors into 16 distinct 1D line registers without requiring additional printing inks.

Interactive Synergy in the Browser

In print (1847), a reader still locates a token on the diagram by color perception alone. In geometor/byrne, byrne_interactive.js and geometor_interactive.js unite Byrne’s pass-by-value color tokens with GEOMETOR’s exact data-ref graph—so hovering or locking any inline glyph dims unrelated ink and pulses the exact SymPy-constructed geometric entity!