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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

  1. @D → Set domain context (a, e, c, v, o, m, s)
  2. D:atom → Inline domain prefix
  3. UPPERCASE → Entity
  4. Symbol → Type/Modifier
  5. 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"          # Λ → English
./scripts/translate lambda "I think"      # English → Λ
./scripts/translate parse "!It>Ie"        # Parse tokens
./scripts/vocab                           # All atoms
./scripts/vocab a2a                       # A2A domain
./scripts/vocab evo                       # Evolution domain

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