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Realizability algebras III: some examples (1210.5065v2)
Published 18 Oct 2012 in cs.LO and math.LO
Abstract: We use the technique of "classical realizability" to build new models of ZF + DC in which R is not well ordered. This gives new relative consistency results, probably not obtainable by forcing. This gives also a new method to get programs from proofs of arithmetical formulas with dependent choice.