For Kleene algebra terms with variable and constant complements, universality, variable inclusion, and star-free inequational theory over all language models are coNP-complete, and the word fragment has a finite sound and complete axiom system.
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Words-to-Letters Valuations for Language Kleene Algebras with Variable and Constant Complements
For Kleene algebra terms with variable and constant complements, universality, variable inclusion, and star-free inequational theory over all language models are coNP-complete, and the word fragment has a finite sound and complete axiom system.