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Resolution modulo is a first-order theorem proving method that can be appliedboth to first-order presentations of simple type theory (also calledhigher-order logic) and to set theory. When it is applied to some first-orderpresentations of type theory, it simulates exactly higherorder resolution. Inthis note, we compare how it behaves on type theory and on set theory.

Automated theorem proving in first-order logic modulo: on the difference between type theory and set theory