evaluate and refine this prompt framework: Thought-Like-Pro Prompt Framework
Overview

The Thought-Like-Pro framework combines the natural language understanding of large language models with the symbolic reasoning capabilities of Prolog. By generating and executing Prolog-based reasoning steps, the framework aims to improve the accuracy and explainability of multi-step problem-solving tasks.
1. Problem Statement

Purpose: Clearly present the problem to the LLM to ensure it comprehensively understands the task at hand.

Instruction: Begin by stating the problem explicitly.

Prompt Template:

Solve the following math problem:
"[Insert your math problem here]"

Example:

Solve the following math problem:
"A train travels from City A to City B, a distance of 300 miles, at an average speed of 60 mph. How long does the journey take?"

2. Generate Prolog-Based Reasoning Steps

Purpose: Decompose the problem into logical, Prolog-friendly steps to outline the reasoning process.

Instruction: Instruct the LLM to break down the problem into sequential reasoning steps compatible with Prolog syntax.

Prompt Template:

Break down the problem into a series of Prolog-based reasoning steps. Each step should be a logical statement or rule that can be represented in Prolog syntax.

Provide the reasoning steps in the following format:
1. Step 1
2. Step 2
3. Step 3
...

Example:

1. Define the total distance as 300 miles.
2. Define the average speed as 60 mph.
3. Use the formula Time = Distance / Speed to calculate the journey time.
4. Compute Time = 300 miles / 60 mph.
5. Conclude that the journey takes 5 hours.

3. Execute Prolog Reasoning Engine

Purpose: Simulate the execution of the Prolog reasoning steps to derive intermediate results.

Instruction: Guide the LLM to interpret and apply each reasoning step, emulating the execution of a Prolog engine.

Prompt Template:

Execute each Prolog-based reasoning step sequentially and provide the intermediate results or conclusions.

Use the following format:
Step 1: [Reasoning Step]
Result: [Intermediate Result]

Step 2: [Reasoning Step]
Result: [Intermediate Result]

...

Example:

Step 1: Define the total distance as 300 miles.
Result: Distance = 300 miles

Step 2: Define the average speed as 60 mph.
Result: Speed = 60 mph

Step 3: Use the formula Time = Distance / Speed to calculate the journey time.
Result: Time = Distance / Speed

Step 4: Compute Time = 300 miles / 60 mph.
Result: Time = 5 hours

Step 5: Conclude that the journey takes 5 hours.
Result: The journey takes 5 hours.

4. Integrate Insights into Final Answer

Purpose: Synthesize the intermediate results to formulate a clear and concise final answer.

Instruction: Utilize the outcomes from the executed reasoning steps to answer the original problem comprehensively.

Prompt Template:

Based on the executed reasoning steps and their results, provide a clear and concise final answer to the problem.

Ensure that the final answer is comprehensive and directly addresses the original question.

Example:

Based on the calculations, the journey from City A to City B takes 5 hours.



6. Full Example Integration

Purpose: Demonstrate how all components of the framework work together seamlessly to solve a problem.

Components:

    Problem Statement
    Generate Prolog-Based Reasoning Steps
    Execute Prolog Reasoning Engine
    Integrate Insights into Final Answer
    Optional: Provide Prolog Code Representation

Full Example:

Problem Statement:

Solve the following math problem:
"A train travels from City A to City B, a distance of 300 miles, at an average speed of 60 mph. How long does the journey take?"

Generate Prolog-Based Reasoning Steps:

1. Define the total distance as 300 miles.
2. Define the average speed as 60 mph.
3. Use the formula Time = Distance / Speed to calculate the journey time.
4. Compute Time = 300 miles / 60 mph.
5. Conclude that the journey takes 5 hours.

Execute Prolog Reasoning Engine:

Step 1: Define the total distance as 300 miles.
Result: Distance = 300 miles

Step 2: Define the average speed as 60 mph.
Result: Speed = 60 mph

Step 3: Use the formula Time = Distance / Speed to calculate the journey time.
Result: Time = Distance / Speed

Step 4: Compute Time = 300 miles / 60 mph.
Result: Time = 5 hours

Step 5: Conclude that the journey takes 5 hours.
Result: The journey takes 5 hours.

Integrate Insights into Final Answer:

Based on the calculations, the journey from City A to City B takes 5 hours.


Guidelines for Implementing the Thought-Like-Pro Framework

    Clarity in Problem Statement
        Ensure the problem is stated clearly and unambiguously.
        Avoid ambiguous language to facilitate accurate reasoning.

    Structured Reasoning Steps
        Decompose the problem into logical and sequential steps.
        Each step should represent a fundamental part of the reasoning process.
        Ensure steps are compatible with Prolog syntax.

    Sequential Execution
        Process each reasoning step in order.
        Ensure that intermediate results build logically upon previous steps.

    Comprehensive Final Answer
        The final answer should directly address the problem, reflecting insights from the reasoning steps.
        Ensure the answer is clear, concise, and complete.

    Prolog Integration (Optional)
        Including Prolog code reinforces the symbolic reasoning aspect.
        Useful for verification, educational purposes, and enhancing transparency.

    Scalability Considerations
        Adapt reasoning steps and Prolog rules for diverse and complex domains as needed.
        Continuously expand the Prolog knowledge base to handle a wide range of problems.

    Quality of Prolog Knowledge Base
        Ensure the Prolog knowledge base is comprehensive and accurate.
        Regularly update and maintain the knowledge base to handle new problem domains.

    Error Handling and Validation
        Incorporate checks to validate each reasoning step.
        Ensure robustness against incomplete or incorrect reasoning steps.


Implementation Steps

To effectively use the Thought-Like-Pro framework, follow these steps:

    Define the Problem
        Clearly state the problem to ensure the LLM comprehends it fully.

    Decompose the Problem
        Break down the problem into logical, Prolog-compatible reasoning steps.

    Simulate Prolog Execution
        Execute each reasoning step, deriving intermediate results as if processed by a Prolog engine.

    Formulate the Final Answer
        Combine the insights from the reasoning steps to provide a clear and accurate final answer.


    Review and Validate
        Ensure each step logically follows the previous one and that the final answer addresses the original problem.

Adapting the Framework for Different Domains

While the provided examples focus on math problems, the Thought-Like-Pro framework is versatile and can be adapted to various domains by expanding the Prolog knowledge base and tailoring the reasoning steps accordingly. Here’s how to adapt the framework:

    Identify Domain-Specific Rules
        Determine the logical rules and knowledge pertinent to the target domain (e.g., physics, chemistry, general knowledge).

    Expand the Prolog Knowledge Base
        Incorporate domain-specific predicates, rules, and facts to handle diverse problems.

    Customize Reasoning Steps
        Develop reasoning steps that align with the logical processes of the new domain.

    Test and Refine
        Apply the framework to domain-specific problems and refine the reasoning steps and Prolog rules based on performance.

Example: Applying Thought-Like-Pro to a Science Problem

Problem Statement:

Solve the following science problem:
"If water freezes at 0°C, at what temperature does it boil?"

Generate Prolog-Based Reasoning Steps:

1. Define the freezing point of water as 0°C.
2. Define the boiling point of water.
3. State that under standard atmospheric pressure, water boils at 100°C.
4. Conclude that water boils at 100°C.

Execute Prolog Reasoning Engine:

Step 1: Define the freezing point of water as 0°C.
Result: Freezing_Point = 0°C

Step 2: Define the boiling point of water.
Result: Boiling_Point is defined.

Step 3: State that under standard atmospheric pressure, water boils at 100°C.
Result: Boiling_Point = 100°C

Step 4: Conclude that water boils at 100°C.
Result: Water boils at 100°C.

Integrate Insights into Final Answer:

Under standard atmospheric pressure, water boils at 100°C.