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Computability Theory and Foundations of Mathematics 2022
DOI: 10.1142/9789811259296_0002
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On One-Variable Fragments of Modal µ-Calculus

Abstract: We define game semantics for the constructive µ-calculus and prove its correctness. We use these game semantics to prove that the µ-calculus collapses to modal logic over CS5 frames. Finally, we prove the completeness of µCS5 over CS5 frames.

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