Three consonants encode an entire semantic domain. ك-ت-ب (k-t-b) = everything about writing. ع-ل-م = everything about knowledge. 152 roots across 15 domains.
A morphological operator transforms the root's semantic field. ك-ت-ب × فاعل = كاتب (writer). ك-ت-ب × مفعلة = مكتبة (library). Same root, different output — all formally derived.
"Schedule a meeting with the team tomorrow" ← English or Arabic
↓
┌─────────────────────┐
│ encodeLocal() │ ← 5-layer deterministic attention
└────────┬────────────┘
↓
┌──────────────────────────┐
│ AlgebraToken │
│ intent: seek │
│ root: جمع (gathering) │
│ pattern: place │
└────────────┬─────────────┘
↓
┌───────────────┐
│ engine.reason │ ← 80 symbolic rules, pure function
│ seek × place │
│ → schedule │
└───────┬───────┘
↓
┌─────────────────┐
│ decodeLocal() │ ← Template-based, 16 action types
└────────┬────────┘
↓
"I'll schedule a meeting with the team for tomorrow."
Every example runs in your browser — no server, no API, no GPU. Click any input to see the algebra decomposition and tool routing.
In production AI systems (customer support, sales agents), LLMs handle intent classification, tool routing, and planning — 3-5 API calls per message at $0.01-0.05 per conversation. AAE can replace the structured portion (classification, routing, decomposition) with sub-millisecond deterministic inference, reducing LLM calls by 50-70% and leaving the LLM only for genuinely complex reasoning and response generation.