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Universal (meta-)logical reasoning: The Wise Men Puzzle (Isabelle/HOL dataset)
1Freie Universität Berlin, Germany.
Data in Brief
|April 25, 2019
Summary
This study presents a universal logical reasoning method, showcasing its effectiveness on the Wise Men Puzzle. The approach emphasizes common knowledge modeling and demonstrates practical relevance in proof assistant systems.
Area of Science:
- Formal Logic
- Epistemology
- Computer Science
Background:
- Epistemic reasoning puzzles like the Wise Men Puzzle pose challenges for formal modeling.
- Common knowledge representation is crucial for solving complex logical riddles.
- Modern proof assistant systems offer powerful tools for logical verification.
Purpose of the Study:
- To demonstrate and assess a universal (meta-)logical reasoning approach.
- To highlight the importance of modeling common knowledge in logical reasoning.
- To illustrate the utility of shallow semantical embedding in proof assistants.
Main Methods:
- Application of a universal (meta-)logical reasoning framework.
- Modeling common knowledge within the Wise Men Puzzle scenario.
- Utilizing the Isabelle/HOL proof assistant system.
- Employing a shallow semantical embedding approach.
Main Results:
- The universal reasoning approach successfully solves the Wise Men Puzzle.
- The method effectively models common knowledge, a key aspect of the puzzle.
- The shallow semantical embedding approach proves elegant and practically relevant within Isabelle/HOL.
Conclusions:
- The demonstrated universal (meta-)logical reasoning approach is effective for epistemic puzzles.
- Shallow semantical embedding is a valuable technique for proof assistants.
- The findings support the broader claims of universal logical reasoning research.
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