Simple Type Theory in EVES
This paper presents a brief description of a newly completed verification system called EVES. EVES is a formal system based on Zermelo-Fraenkel set theory with the Axiom of Choice. EVES supports the proof of mathematical properties, including proofs of program correctness. The development of EVES required the design of a new language, called Verdi, and of a heuristic theorem prover, called NEVER.
After introductory remarks on Verdi, NEVER and EVES, we present a combinatory version of Church’s simple type theory in EVES as an illustration of the power and flexibility of the untyped set theory framework and of EVES.
KeywordsSorting Rote Pase
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