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Unifying Splitting
Gabriel Ebner1, Jasmin Blanchette1,2,3, Sophie Tourret2,3
1Vrije Universiteit Amsterdam, Amsterdam, The Netherlands.
Journal of Automated Reasoning
|May 3, 2023
Summary
This study introduces a unifying framework for clause splitting in saturation provers, analyzing the refutational completeness of the AVATAR architecture and related methods using SAT solvers.
Area of Science:
- Automated reasoning
- Mathematical logic
- Computer science
Background:
- Clause splitting is crucial for efficient saturation provers.
- The AVATAR architecture effectively splits clauses using SAT solvers.
- Questions remain about AVATAR's refutational completeness and its relation to other splitting methods.
Purpose of the Study:
- To present a unifying framework for clause splitting in saturation provers.
- To analyze the refutational completeness of splitting architectures.
- To investigate the relationship between different splitting strategies.
Main Methods:
- Developed a unifying framework extending saturation calculi with splitting.
- Integrated the framework into a SAT solver-guided prover.
- Introduced and studied 'locking', a model-based subsumption mechanism.
Main Results:
- The framework encompasses various splitting architectures, including AVATAR and labeled splitting.
- The study provides a basis for analyzing the refutational completeness of these architectures.
- The 'locking' mechanism offers a new approach to subsumption.
Conclusions:
- The proposed framework offers a comprehensive view of splitting architectures in automated reasoning.
- It clarifies the properties of AVATAR and related methods.
- The framework facilitates the development and analysis of advanced provers.
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