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Proof search in Lax Logic

by: Jacob M. Howe
Mathematical Structures in Computer Science, Vol. 11, No. 04. (2001), pp. 573-588, doi:10.1017/s0960129501003334  Key: citeulike:5457514

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Abstract

A Gentzen sequent calculus for Lax Logic is presented, the proofs in which correspond naturally in a 1–1 way to the normal natural deductions for the logic. The propositional fragment of this calculus is used as the basis for another calculus that uses a history mechanism in order to give a decision procedure for propositional Lax Logic.


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