Confluence of Cut-Elimination Procedures for the Intuitionistic Sequent Calculus

نویسنده

  • Kentaro Kikuchi
چکیده

We prove confluence of two cut-elimination procedures for the implicational fragment of a standard intuitionistic sequent calculus. One of the cut-elimination procedures uses global proof transformations while the other consists of local ones. Both of them include permutation of cuts to simulate β-reduction in an isomorphic image of the λ-calculus. We establish the confluence properties through a conservativity result on the cut-elimination procedures.

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تاریخ انتشار 2007