A Computing Procedure for Quantification Theory
Journal of the ACM (JACM)
A machine program for theorem-proving
Communications of the ACM
Simplification and Backjumping in Modal Tableau
TABLEAUX '98 Proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
Simplification: A General Constraint Propagation Technique for Propositional and Modal Tableaux
TABLEAUX '98 Proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
The ILTP Problem Library for Intuitionistic Logic
Journal of Automated Reasoning
Optimization techniques for propositional intuitionistic logic and their implementation
Theoretical Computer Science
Imogen: Focusing the Polarized Inverse Method for Intuitionistic Propositional Logic
LPAR '08 Proceedings of the 15th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning
Simplification Rules for Intuitionistic Propositional Tableaux
ACM Transactions on Computational Logic (TOCL)
Complete completion using types and weights
Proceedings of the 34th ACM SIGPLAN conference on Programming language design and implementation
An improved BDD method for intuitionistic propositional logic: BDDIntKt system description
CADE'13 Proceedings of the 24th international conference on Automated Deduction
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We present FCUBE, a theorem prover for Intuitionistic propositional logic based on a tableau calculus. The main novelty of FCUBE is that it implements several optimization techniques that allow to prune the search space acting on different aspects of proof-search. We tested the efficiency of our techniques by comparing FCUBE with other theorem provers. We found that our prover outperforms the other provers on several interesting families of formulas.