Concurrent Process Algebra for AI Agents
/install cpa-agents
CPA Agents for OpenClaw
Version: 2.0.0
Use concurrent process algebra for practical multi-agent orchestration in OpenClaw. This skill is focused on production workflows: parallel execution, branch-fix loops, model fan-out, and session status introspection.
Install
1) Install library dependency
npm install cpa-agents
2) Create skill entrypoint
import { createOpenClawSkill } from "cpa-agents/adapters/openclaw";
export default createOpenClawSkill();
3) Runtime prerequisites
- OpenClaw Gateway is running and reachable.
- Skill host supports async command handlers.
- Session context provides
appendEventfor trace streaming.
Advanced operators
Use these when you need stronger control over failures, rollback, and data lineage.
Undo / rollback (invertible + saga)
invertible(forward, undo)defines a step plus compensating action.saga([...steps])executes steps in order; on failure, runs undo in reverse order.- Best for workflows with side effects (branch creation, file writes, merges, etc.).
Pattern:
import { invertible, saga } from "cpa-agents";
const workflow = saga([
invertible(createBranch, deleteBranch),
invertible(writeCode, revertCode),
invertible(runValidation, cleanupValidation),
]);
Provenance (converse)
converse(R, inverseFn)is relational provenance, not operational undo.- Use it to answer: "which input(s) could have produced this output?"
- Keep this separate from rollback logic (
invertible/saga).
Pattern:
import { rel, converse } from "cpa-agents";
const generate = rel("generate", async (prompt: string) => [prompt + "-out"]);
const provenance = converse(generate, async (output: string) => [output.replace("-out", "")]);
Guarded flow (guard, guardValue, ifThenElse)
- Use
guard(...)to block unsafe execution. - Use
guardValue(...)when a required value must exist. - Combine with
ifThenElse(...)for conditional routing.
Reliability (retryWithBackoff, timeout, or)
retryWithBackofffor transient failures.timeout(ms, process)to bound execution.or(primary, fallback)for fallback routing when primary fails.
Practical guidance: undo vs converse
- Use undo (
invertible+saga) when you must reverse side effects. - Use converse for provenance/audit and lineage queries.
- Typical production setup uses both:
sagaduring executionconversefor post-run explainability
Commands
parallel
Run independent tasks concurrently.
{
"tasks": [
"analyze failing tests",
"draft fix proposal",
"write migration notes"
],
"timeout": 300000
}
branch-fix
Run one task, and if errors are returned, branch into fix flow and continue.
{
"task": "implement auth middleware and resolve lint issues",
"timeout": 300000
}
fan-out
Run the same task across multiple models and merge outputs.
{
"task": "propose API surface for agent orchestration",
"models": ["model-a", "model-b"],
"timeout": 300000
}
status
Return the current CPA process tree/status for the session.
{}
Recommended prompts
- "Run parallel: audit security risks, propose patch plan, generate tests"
- "Branch-fix this refactor until no type errors remain"
- "Fan-out this architecture question across two models and compare"
- "Show cpa status"
- "Execute as saga: create branch, patch files, validate, rollback on failure"
- "Show provenance: what input likely produced this output?"
Troubleshooting
- Gateway not connected:
- Start OpenClaw Gateway and retry.
- Unknown command:
- Use one of:
parallel,branch-fix,fan-out,status.
- Use one of:
- Timeout:
- Increase
timeoutin command args.
- Increase
- Missing session events:
- Ensure session context is present and
appendEventis enabled.
- Ensure session context is present and
- Rollback did not occur:
- Verify steps are wrapped with
invertible(...)and executed withsaga(...).
- Verify steps are wrapped with
- Provenance unclear:
- Provide an explicit
inverseFnwhen definingconverse(...).
- Provide an explicit
- Make sure OpenClaw is installed (local or Docker)
- Run the install command in chat:
/install cpa-agents - After installation, invoke the skill by name or use
/cpa-agents - Provide required inputs per the skill's parameter spec and get structured output
What is Concurrent Process Algebra for AI Agents?
Manage AI agent workflows using concurrent process algebra patterns like parallel tasks, branch-fix loops, fan-out comparisons, and session status tracking. It is an AI Agent Skill for Claude Code / OpenClaw, with 91 downloads so far.
How do I install Concurrent Process Algebra for AI Agents?
Run "/install cpa-agents" in the OpenClaw or Claude Code chat to install it in one step — no extra setup required.
Is Concurrent Process Algebra for AI Agents free?
Yes, Concurrent Process Algebra for AI Agents is completely free, licensed under MIT-0. You can download, install and use it at no cost.
Which platforms does Concurrent Process Algebra for AI Agents support?
Concurrent Process Algebra for AI Agents is cross-platform and runs anywhere OpenClaw / Claude Code is available (cross-platform).
Who created Concurrent Process Algebra for AI Agents?
It is built and maintained by José I. O. (@jose-compu); the current version is v2.0.0.