Generic Proof Synthesis for Presburger Arithmetic --- Draft

Amine Chaieb and Tobias Nipkow

We develop in complete detail an extension of Cooper's decision procedure for Presburger arithmetic that, in the positive case, returns a proof of the input formula. The algorithm is formulated as a functional program that makes only very minimal assumptions w.r.t. the underlying logical system and is therefore easily adaptable to specific theorem provers.

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This technical report has been superseded by this paper.