# On linear rewriting systems for Boolean logic and some applications to proof theory

@article{Das2016OnLR, title={On linear rewriting systems for Boolean logic and some applications to proof theory}, author={Anupam Das and Lutz Stra{\ss}burger}, journal={Log. Methods Comput. Sci.}, year={2016}, volume={12} }

Linear rules have played an increasing role in structural proof theory in recent years. It has been observed that the set of all sound linear inference rules in Boolean logic is already coNP-complete, i.e. that every Boolean tautology can be written as a (left- and right-)linear rewrite rule. In this paper we study properties of systems consisting only of linear inferences. Our main result is that the length of any 'nontrivial' derivation in such a system is bound by a polynomial. As a…

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