Atom of Thoughts (AoT)

A Model Context Protocol (MCP) server implementation of Atom of Thoughts, a decomposition-based reasoning framework.

Note: This implementation is based on the research paper "Atom of Thoughts for Markov LLM Test-Time Scaling" (Teng et al., 2025).

MCP.so

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This repository implements Atom of Thoughts (AoT), a decomposition-based reasoning framework, as a Model Context Protocol (MCP) server. This implementation is based on the concepts presented in the paper "Atom of Thoughts for Markov LLM Test-Time Scaling" (Teng et al., 2025).

Available Tools

Two main tools are provided:

1. AoT (Full Version): A complete Atom of Thoughts tool with full capabilities for deep analysis and complex problem solving.
2. AoT-light (Lightweight Version): A streamlined version optimized for faster processing and quicker results.

AoT-light: Lightweight Version

AoT-light is designed for faster processing in time-sensitive situations:

• Key Features:

  • Lower maximum depth (3 instead of 5) for faster processing
  • Simplified verification process
  • Immediate conclusion suggestion for high-confidence hypotheses
  • Reduced computational overhead and response payload
  • Optimized for speed rather than exhaustive analysis

• Use Cases:

  • Quick brainstorming sessions requiring atomic thought organization
  • Time-sensitive problem solving where speed is prioritized over exhaustive analysis
  • Simpler reasoning tasks that don't require deep decomposition
  • Initial exploration before using the full AoT for deeper analysis
  • Learning or demonstration purposes where response time is important

Use Cases

Atom of Thoughts is effective in the following scenarios:

• Solving problems requiring complex reasoning
• Generating hypotheses that need verification from multiple perspectives
• Deriving high-confidence conclusions in scenarios where accuracy is crucial
• Minimizing logical errors in critical tasks
• Decision-making requiring multiple verification steps

Atom Types

AoT uses five types of atoms:

1. premise: Basic assumptions or given information for problem solving
2. reasoning: Logical reasoning process based on other atoms
3. hypothesis: Proposed solutions or intermediate conclusions
4. verification: Process to evaluate the validity of other atoms (especially hypotheses)
5. conclusion: Verified hypotheses or final problem solutions

Core Features

1. Decomposition-Contraction Mechanism

A mechanism to decompose atoms into smaller sub-atoms and contract them back after verification.

• Decomposition: Breaking complex atoms into smaller sub-atoms.

  • startDecomposition(atomId): Start atom decomposition
  • addToDecomposition(decompositionId, atomId): Add sub-atom to decomposition
  • completeDecomposition(decompositionId): Complete decomposition process

• Contraction: Contract back to the original atom once all sub-atoms are verified.

  • Calculate confidence of the original atom based on sub-atoms' confidence levels
  • Automatically suggest conclusions for high-confidence verified hypotheses

2. A

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