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Details of Grant 

EPSRC Reference: GR/L31104/01
Title: DEVELOPMENT OF AN INDUCTIVE PROOF ASSISTANT FOR Z INTEGRATING CLASSICAL AND REWRITE STRATEGIES
Principal Investigator: Frisch, Dr A
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Computer Science
Organisation: University of York
Scheme: Standard Research (Pre-FEC)
Starts: 01 January 1997 Ends: 30 April 2000 Value (£): 228,657
EPSRC Research Topic Classifications:
Artificial Intelligence
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Summary on Grant Application Form
Z is a formal specification language based upon Zermelo-Frankal set theory that is extensively used in both academia and industry. Several tools have been developed for reasoning about Z specifications, but they all lack substantial facilities for inductive reasoning. We propose the development of such as reasoning assistant for Z. Utilising the concept of ordered covering , our proposed approach will combine aspects of both the classical and rewrite-based approaches to proof by induction. In particular, it will include the classical induction on variables and use of heuristics, and the re-write induction on subterms and unification for generation of induction cases. In this way, we will not be developing an inductive reasoner for Z but will be furthering our understanding of the automation of proof by induction. To ensure that our reasoning principles and strategies are appropriate for Z, we propose to implement them in CADiz, an interactive reasoning tool for Z developed by University of York. We will evaluate the utility of the resulting system by attempting to construct a broad range of proofs, including some of practical importance to computer security, safety-critical systems and compiler correctness.
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Organisation Website: http://www.york.ac.uk