Abstract
We present non-clausal resolution systems for prepositional modal logics whose Kripke models do not involve symmetry, and for first-order versions whose Kripke models do not involve constant domains. We given systems for K, T, K4, and S4; other logics are also possible. Our systems do not require preliminary reduction to a normal form and, in the first-order case, intermingle resolution steps with Skolemization steps.

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