Efficient loop-check for multimodal KD45n logic
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We introduce sequent calculus for multi-modal logic KD45n which uses efficient loop-check. Efficiency of the used loop-check is obtained by using marked modal operator squarei which is used as an alternative to sequent with histories ([2,3]).We use inference rules with or branches to make all rules invertible or semi-invertible. We showthe maximum height of the constructed derivation tree. Also polynomial space complexity is proved.
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2019 ◽
Vol 29
(8)
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pp. 1344-1378
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2003 ◽
Vol 68
(4)
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pp. 1403-1414
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2009 ◽
Vol 2
(4)
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pp. 593-611
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