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math.LO2014
Herbrand's theorem and non-Euclidean geometry
Michael Beeson, Pierre Boutry, Julien Narboux
We use Herbrand's theorem to give a new proof that Euclid's parallel axiom is not derivable from the other axioms of first-order Euclidean geometry. Previous proofs involve constru…
cs.LO2014
A Vernacular for Coherent Logic
Sana Stojanovic, Julien Narboux, Marc Bezem +1
We propose a simple, yet expressive proof representation from which proofs for different proof assistants can easily be generated. The representation uses only a few inference rule…