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Abstract: A theory of recursive definitions has been mechanized in Isabelle's Zermelo-Fraenkel (ZF) set theory. The objective is to support the formalization of particular recursive definitions for use in verification, semantics proofs and other computational reasoning. (Update)
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BibTeX entry: (Update)
@misc{ paulson-set,
author = "Lawrence C. Paulson",
title = "Set Theory for Verification: II - Induction and Recursion",
url = "citeseer.ist.psu.edu/paulson00set.html" }
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58 Naive Set Theory (context) - Halmos - 1960
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47 A fixedpoint approach to implementing (context) - Paulson - 1994
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38 Non-resolution theorem proving (context) - Bledsoe - 1977
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27 Deductive synthesis of the unification algorithm (context) - Manna, Waldinger - 1981
21 Terminating general recursion (context) - Nordstrom - 1988
17 Constructing recursion operators in intuitionistic type theo.. - Paulson - 1986
16 Experimenting with Isabelle in ZF set theory (context) - Noel - 1993
14 A concrete final coalgebra theorem for ZF set theory - Paulson - 1994
12 Fundamentals of Contemporary Set Theory (context) - Devlin - 1979
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5 Translated by Yves LaFont and Paul Taylor (context) - Girard - 1989
1 Generalized rules for quantifiers and the completeness of th.. (context) - Schroeder-Heister - 1984
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