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arXiv · 1606.01763

A Constructive Proof of Cut Elimination for a System of Full Second Order Logic

Sandro Skansi
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Abstract

In this paper we present a constructive proof of cut elimination for a system of full second order logic with the structural rules absorbed and using sets instead of sequences. The standard problem of the cutrank growth is avoided by using a new parameter for the induction, the cutweight. This technique can also be applied to first order logic.

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Sandro Skansi. 2016-06-06. A Constructive Proof of Cut Elimination for a System of Full Second Order Logic. https://arxiv.org/abs/1606.01763

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