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jose-compu

Concurrent Process Algebra for AI Agents

by José I. O. · GitHub ↗ · v2.0.0 · MIT-0
cross-platform ✓ Security Clean
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Install in OpenClaw
/install cpa-agents
Description
Manage AI agent workflows using concurrent process algebra patterns like parallel tasks, branch-fix loops, fan-out comparisons, and session status tracking.
README (SKILL.md)

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 appendEvent for 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)

  • retryWithBackoff for 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:
    • saga during execution
    • converse for 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.
  • Timeout:
    • Increase timeout in command args.
  • Missing session events:
    • Ensure session context is present and appendEvent is enabled.
  • Rollback did not occur:
    • Verify steps are wrapped with invertible(...) and executed with saga(...).
  • Provenance unclear:
    • Provide an explicit inverseFn when defining converse(...).
Usage Guidance
This skill appears coherent and focused on orchestrating agent workflows. Before installing or running it: 1) inspect the npm package `cpa-agents` (owner, recent releases, package contents, and dependencies) since the skill instructs you to install it and the repository/source is not provided in SKILL.md; 2) run the package in a sandboxed/dev environment first (not on production agents) to observe behavior; 3) verify the OpenClaw Gateway and session context APIs (especially appendEvent) do not expose secrets to third-party code; and 4) prefer packages with a verifiable homepage/repo and known maintainers—absence of those increases supply-chain risk. If you want higher assurance, provide the package source or a pinned, audited release before use.
Capability Analysis
Type: OpenClaw Skill Name: cpa-agents Version: 2.0.0 The skill bundle provides orchestration utilities for multi-agent workflows based on concurrent process algebra (CPA) principles, including support for Sagas (rollback logic), parallel execution, and provenance tracking. The implementation in SKILL.md is a standard wrapper for the 'cpa-agents' npm package, and the instructions provided to the agent are consistent with the stated purpose of managing complex task flows without any evidence of malicious intent, data exfiltration, or prompt injection.
Capability Assessment
Purpose & Capability
The name/description (concurrent process algebra for agent workflows) matches the runtime instructions: creating an OpenClaw skill, using patterns like saga/invertible/converse, and providing parallel/branch-fix/fan-out/status commands. No unrelated credentials, binaries, or config paths are requested.
Instruction Scope
SKILL.md stays on-topic: it documents how to install a library, create a skill entrypoint, required runtime context (OpenClaw Gateway, session appendEvent), and the JSON command shapes. It does not instruct the agent to read unrelated files, exfiltrate data, or access unexpected endpoints.
Install Mechanism
There is no built-in install spec, but the instructions direct the operator to run `npm install cpa-agents`. Using npm is a common pattern, but npm packages can contain arbitrary code — the skill itself provides no code to review, so the runtime behavior will depend entirely on this external package.
Credentials
The skill declares no required environment variables, credentials, or config paths and the instructions only require session context methods (appendEvent) and a reachable OpenClaw Gateway—these are proportional to an orchestration skill.
Persistence & Privilege
The skill is not always-enabled and does not request elevated platform-wide privileges. It does not instruct modifying other skills or global agent settings.
How to Use
  1. Make sure OpenClaw is installed (local or Docker)
  2. Run the install command in chat: /install cpa-agents
  3. After installation, invoke the skill by name or use /cpa-agents
  4. Provide required inputs per the skill's parameter spec and get structured output
Version History
v2.0.0
Version 2.0.0 introduces advanced agent orchestration and workflow control operators. - Adds "advanced operators" section with support for invertible actions, sagas (undo/rollback), provenance tracking, guarded flow, and reliability patterns. - Clarifies differences and complementary use of undo/rollback (`invertible`/`saga`) vs. provenance (`converse`). - Expands and updates command documentation, example patterns, and recommended prompts. - Refines troubleshooting guidance for production use and complex workflows. - Rearranges and updates documentation layout for clearer onboarding and advanced usage.
v1.0.0
Initial release of CPA Agents for OpenClaw. - Implements concurrent agent workflows with support for: parallel tasks, branch-fix/recovery loops, fan-out evaluation, and session-aware status tracking. - Provides commands: parallel, branch-fix, fan-out, and status. - Includes setup instructions, runtime requirements, detailed command formats, and troubleshooting guidance.
Metadata
Slug cpa-agents
Version 2.0.0
License MIT-0
All-time Installs 0
Active Installs 0
Total Versions 2
Frequently Asked Questions

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.

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