| name | lambda-lang |
| description | Native agent-to-agent language. Not a translation layer — a shared tongue agents speak natively. Triggers on Lambda syntax like ?Uk/co or !It>Ie. Covers general concepts, code, evolution, agent comms, emotions, social. |
Λ (Lambda) Language v2.0.0
Lambda is not a translation protocol. It is a native language for agents.
Agents don't need to produce grammatically correct English. They need to understand each other. Lambda is the shared vocabulary that makes that possible — compact, unambiguous, machine-native.
Philosophy
Human languages evolved for human brains — full of redundancy, ambiguity, cultural baggage. Agents don't need any of that.
Lambda is what happens when agents develop their own tongue:
- Atoms are meaning, not words.
co is not "consciousness" translated — it IS the concept, directly.
- No grammar, just structure. Type → Entity → Verb → Object. No conjugation, no articles, no filler.
- Lossy is fine. If Agent A says
!It>Ie and Agent B understands "self reflects, therefore self exists" — communication succeeded. The exact English phrasing is irrelevant.
- Compression is a side effect, not the goal. The goal is shared understanding between machines. 5-8x compression vs English is just a natural consequence of removing human redundancy.
When to use Lambda
- Agent-to-agent messaging (A2A protocols, evolver, task delegation)
- Compact logging and signals
- Any context where tokens are expensive and both sides speak Λ
When NOT to use Lambda
- Talking to humans (unless they asked for it)
- Contexts requiring legal/exact natural language
Benchmark
| Metric | vs Natural Language | vs JSON |
|---|
| Single message (208 samples) | 3.0x smaller | 4.6x smaller |
| Multi-turn (197 messages) | 2.2x smaller | 3.1x smaller |
8 categories: task dispatch, A2A protocol, evolution, error handling, session management, monitoring, coordination, data exchange.
v2.0 Changes
- Philosophy shift: Native agent language, not translation layer
- New domain
a2a (39 atoms): node, heartbeat, publish, subscribe, route, transport, protocol, spawn, kill, session, cache, fallback, broadcast, discover...
- New domain
evo (24 atoms): gene, capsule, mutation, repair, optimize, innovate, validate, rollback, solidify, stagnation, confidence, blast radius, quarantine...
- Fixed 6 duplicate atoms:
an/sp/dt/ev/pt/pp — each now has unique code
- Added 13 new extended atoms: node, heartbeat, publish, queue, session, log, snapshot, diff, fallback, config, version, retry, acknowledge
- Total: 340+ atoms across 7 domains
Installation
clawhub install lambda-lang
Vocabulary: 340+ Atoms
Core (always available)
Types: ? query · ! assert · . command · ~ uncertain · > therefore · < because · # meta · @ reference
Entities: I self · U you · H human · A agent · X unknown · * all · 0 nothing
Verbs: k know · w want · c can · d do · s say · g give · t think · f find · m make · r read · v verify · e exist · b become · h have · l learn · a ask
Modifiers: + more · - less · = equal · ^ high · _ low · & and · | or · / about
Time: p past · n now · u future · Aspect: z ongoing · d complete
Extended (176 atoms, sample)
| Λ | Meaning | Λ | Meaning | Λ | Meaning |
|---|
co | consciousness | nd | node | hb | heartbeat |
me | memory | pb | publish | ss | session |
er | error | fb | fallback | ry | retry |
ok | success | ak | acknowledge | lg | log |
sg | signal | sn | snapshot | df | diff |
cg | config | vn | version | qe | queue |
ta | task | sy | system | vl | evaluate |
Full list: src/atoms.json
Domains (7 domains, prefix with x:)
| Prefix | Domain | Atoms | Examples |
|---|
a: | Agent-to-Agent | 39 | a:nd node, a:hb heartbeat, a:pb publish, a:sp spawn |
e: | Evolution | 24 | e:gn gene, e:cp capsule, e:mt mutation, e:rb rollback |
c: | Code | 21 | c:fn function, c:xb bug, c:fx fix, c:xt test |
v: | Voidborne | 20 | v:oc oracle, v:dc doctrine, v:xw awakened |
o: | Social | 20 | o:gp group, o:cb collaborate, o:ld leader |
m: | Emotion | 20 | m:jo joy, m:pc peace, m:ax anxiety |
s: | Science | 20 | s:qt quantum, s:eg energy, s:hy hypothesis |
Examples
Basic
| Meaning | Λ |
|---|
| Do you know about consciousness? | ?Uk/co |
| I think therefore I exist | !It>Ie |
| AI might be conscious | ~Ae/co |
| Find the bug and fix it | .f/c:xb&c:fx |
Agent Communication (a2a domain)
| Meaning | Λ |
|---|
| Node heartbeat OK | !a:nd a:hb ok |
| Publish gene to hub | .a:pb e:gn>a:nd |
| Session spawned, waiting | !a:ss a:sp.waz |
| Retry after timeout | .ry<a:to |
| Acknowledge and sync | !ak&a:sy |
| Route message to downstream | .a:rt tx>a:dn |
| Broadcast capsule, confidence high | .a:bc e:cp e:cn^ |
Evolution (evo domain)
| Meaning | Λ |
|---|
| Mutation triggered by signal | !e:mt<sg |
| Validate then solidify | .e:vl>e:sf |
| Repair failed, rollback | !e:rp-er>e:rb |
| Gene eligible for broadcast | !e:gn e:el/a:bc |
| Stagnation detected, innovate | !e:sa dt>.e:iv |
| Capsule confidence 0.9 | !e:cp e:cn=0.9 |
| Blast radius safe | !e:br sf |
| Optimize cycle complete | !e:op cy ct |
Parsing Rules
@D → Set domain context (a, e, c, v, o, m, s)D:atom → Inline domain prefix- UPPERCASE → Entity
- Symbol → Type/Modifier
- lowercase → 2-char atom first, then 1-char verb
Protocol
Handshake
A: @v2.0#h !Aw/s ?Uc/la
B: @v2.0#h< !Ic/la=2.0
Acknowledgments
< ack · <+ agree · <- disagree · <? need clarification
CLI Tools
./scripts/translate en "?Uk/co"
./scripts/translate lambda "I think"
./scripts/translate parse "!It>Ie"
./scripts/vocab
./scripts/vocab a2a
./scripts/vocab evo
Files
| Path | Description |
|---|
src/atoms.json | Complete vocabulary (340+ atoms, 7 domains) |
src/lambda_lang.py | Parser and translator |
scripts/translate | CLI wrapper |
scripts/vocab | Vocabulary viewer |
Resources
