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A theory independent Curry-De Bruijn-Howard correspondence (2304.08068v1)
Published 17 Apr 2023 in cs.LO
Abstract: Instead of developing a customized typed lambda-calculus for each theory, we attempt to design a general parametric calculus that permits to express the proofs of any theory. This way, the problem of expressing proofs in the lambda-calculus is separated from that of choosing a theory.