Imagi‑World — Updated Premise Engine (Geom + Arithmetic)

N‑back: Trials: Seed: Arithmetic ratio q: Seconds / trial: Premises / trial: idle

Press Start

Trial — mode — RT — ⏱ —

Scoring

Hits	Misses	False Alarms	Correct Rejects	Accuracy
0	0	0	0	0%

A “match” occurs when the resultant state vector of the current trial equals the vector from N trials ago after quantization. Surface strings are irrelevant.

Session

Trial	Premise	Mode	IsMatch

Mechanics

Symbols A–Z have identity and state: pos(x,y), level, polarity, intensity, phase.
Transforms are pure and deterministic. Only transforms update state; identity never changes.
Two generators:
- GeomGen: rotation, reflection, scale, projection, midpoint, bisectors, orientation, lattice, etc. Output ≤ 7 words per premise line. Line names literal: line U,V.
- ArithGen: arithmetic expressions on letters using + − × ÷ √ ^ inverted with optional scalar digits attached to letters (e.g., A2). Output ≤ 7 words.
Scheduler picks generator with Bernoulli q then builds a non‑match by rejection or constructs an inverse composition to force a match.