INDEXIN / LAW SHOWCASEIX-40 · IX-41

LARS ROCHA’S SCHUR / LARS LOGIC · CLASSICAL GF(2)

Let the blocks speak.
Follow every elimination.

Solve within each block, carry what remains across the boundaries, then bring the answers back. Every displayed row comes from the checked XOR engine.

Build an XOR system

Write x0 ^ x1 = 1. Use 0 = 1 for an explicit contradiction. Repeated variables cancel. Blank means no equations.

Every variable exactly once. Leave blank to detect connected components; interleaved indices are supported.

Trace limits: 12 variables, 24 equations. Engine-only IX-40 supports larger systems. No circuit or general OR-SAT encoding.

Read the source audit ↗

ONE SYSTEM / TWO ELIMINATION ROUTES

Select a row to read its equation.

Inspect a variable

Flat solver comparison

Counts measure row XOR operations, not elapsed time or guaranteed acceleration. Row IDs name transformed rows; they are not original-equation proof certificates.

Replay a Schur study