Similarity-Based Constraint Solving Modulo Commutativity: A Unified Framework

B. Dundua,Demetre Labadze,Tornike Tsereteli

Published 2025 in IEEE International Conference on Fuzzy Systems

ABSTRACT

This paper introduces a similarity-based constraint-solving algorithm modulo commutativity, extending classical methods to accommodate fuzzy relations and approximate reasoning. We present a framework capable of solving equations even with function symbol mismatches. We prove the soundness, completeness, and termination of the proposed algorithm. The algorithm is implemented via a web-based interface, improving accessibility and usability.

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