An automated prover for Zermelo–Fraenkel set theory in Theorema

Abstract: This paper presents some fundamental aspects of the design and the implementation of an automated prover for Zermelo–Fraenkel set theory within the Theorema system. The method applies the “Prove–Compute–Solve” paradigm as its major strategy for generating proofs in a natural style for statements involving constructs from set theory. [Copyright &y& Elsevier]