A Calculus and Complexity Bound for Minimal Conditional Logic

In this paper, we introduce a cut-free sequent calculus for minimal conditional logic CK and three extensions of it: namely, with ID, MP and both of them. The calculus uses labels and transition formulas and can be used to prove decidability and space complexity bounds for the respective logics. As a first result, we show that CK can be decided in O(n log n) space.

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