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Published on: April 25, 2016
Toward the formal verification of a unification system
Hui Liu1, Jinglei Zhao, Ruzhan Lu
1Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai, China. lh_charles@sjtu.edu.cn
Summary
This study introduces a novel model checking method for debugging complex unification grammars. The technique effectively compresses the state space, aiding in the verification and application of these knowledge-encoding systems.
Area of Science:
- Computational Linguistics
- Formal Methods
- Computer Science
Background:
- Unification grammars are essential for encoding human knowledge in computational systems.
- Debugging complex rule sets in unification systems presents significant challenges.
- Existing methods lack theoretical guarantees for verifying grammar correctness.
Purpose of the Study:
- To propose a novel model checking-based method for theoretically verifying complex unification grammar systems.
- To develop an effective abstraction technique for compressing the state space of grammar models.
- To facilitate the practical debugging and application of unification grammars.
Main Methods:
- Modeling unification grammars using partial Kripke structures.
- Developing an abstraction method to significantly reduce the state space complexity.
- Applying model checking techniques for theoretical verification of grammar rules.
- Analyzing practical verification issues, including specification restrictions and property checking.
Main Results:
- Demonstrated a method to model unification grammar rules using partial Kripke structures.
- Achieved several orders of magnitude reduction in state space size through abstraction.
- Maintained the behavioral equivalence of the compressed model compared to the original.
- Provided insights into practical considerations for implementing grammar verification.
Conclusions:
- The proposed model checking approach offers a theoretically sound method for verifying unification grammars.
- State space compression via abstraction enhances the feasibility of verifying large and complex grammars.
- This work contributes to more effective debugging and broader application of unification grammar systems.
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