Relating Z and First-Order Logic

Despite being widely regarded as a gloss on first-order logic and set theory, Z has not been found to be very supportive of proof. This paper attempts to distinguish between the different philosophies of proof in Z. It discusses some of the issues which must be addressed in creating a proof technology for Z, namely schemas, undefinedness, and what kind of logic to use. Received February 2000 / Accepted in revised form April 2000