Modal CEGAR-tableaux with RECAR and resolution-based SAT-shortcuts

We investigate two approaches for extending CEGAR-tableaux with SAT-shortcuts using a previously known approach called RECAR but also a totally new approach using the modal resolution theorem prover K S P as an oracle.Our experiments using our C++ implementation CEGARBox++ of CEGAR-tableaux show that: (1) CEGARBox++ with RECAR SAT-shortcuts is not competitive (2) CEGARBox++ using K S P to provide SAT-shortcuts is superior to both CEGARBox++ and K S P, particularly on large satisfiable problems.As far as we know, this is the first effective integration of SAT, tableaux and resolution methods for modal satisfiability which performs better than its parts.

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Publication Details

Journal
Electronic Proceedings in Theoretical Computer Science
Published
2026-06-28
DOI
https://doi.org/10.4204/eptcs.447.24
Primary Topic
Digital Image Processing Techniques
Type
article
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article

Modal CEGAR-tableaux with RECAR and resolution-based SAT-shortcuts

Cormac Kikkert, Rajeev Goré
Electronic Proceedings in Theoretical Computer Science
Digital Image Processing Techniques
article

Modal CEGAR-tableaux with RECAR and resolution-based SAT-shortcuts

Cormac Kikkert, Rajeev Goré
article en

Abstract

We investigate two approaches for extending CEGAR-tableaux with SAT-shortcuts using a previously known approach called RECAR but also a totally new approach using the modal resolution theorem prover K S P as an oracle.Our experiments using our C++ implementation CEGARBox++ of CEGAR-tableaux show that: (1) CEGARBox++ with RECAR SAT-shortcuts is not competitive (2) CEGARBox++ using K S P to provide SAT-shortcuts is superior to both CEGARBox++ and K S P, particularly on large satisfiable problems.As far as we know, this is the first effective integration of SAT, tableaux and resolution methods for modal satisfiability which performs better than its parts.

Electronic Proceedings in Theoretical Computer ScienceVol. 447
Kauno Mišku ir Aplinkos Inžinerijos Kolegija (LT), Monash University (AU)
Openalex Percentile: Top 7%
Digital Image Processing Techniques
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