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-<H2>ZF: Zermelo-Fraenkel Set Theory</H2>
-
-This directory contains the ML sources of the Isabelle system for
-ZF Set Theory, based on FOL.<p>
-
-There are several subdirectories of examples:
-<DL>
-<DT>AC
-<DD>subdirectory containing proofs from the book "Equivalents of the Axiom
-of Choice, II" by H. Rubin and J.E. Rubin, 1985. Thanks to Krzysztof
-Gr`abczewski.<P>
-
-<DT>Coind
-<DD>subdirectory containing a large example of proof by co-induction. It
-is by Jacob Frost following a paper by Robin Milner and Mads Tofte.<P>
-
-<DT>IMP
-<DD>subdirectory containing a semantics equivalence proof between
-operational and denotational definitions of a simple programming language.
-Thanks to Heiko Loetzbeyer & Robert Sandner.<P>
-
-<DT>Resid
-<DD>subdirectory containing a proof of the Church-Rosser Theorem. It is
-by Ole Rasmussen, following the Coq proof by G�ard Huet.<P>
-
-<DT>ex
-<DD>subdirectory containing various examples.
-</DL>
-
-Isabelle/ZF formalizes the greater part of elementary set theory,
-including relations, functions, injections, surjections, ordinals and
-cardinals. Results proved include Cantor's Theorem, the Recursion
-Theorem, the Schroeder-Bernstein Theorem, and (assuming AC) the
-Wellordering Theorem.<P>
-
-Isabelle/ZF also provides theories of lists, trees, etc., for
-formalizing computational notions. It supports inductive definitions
-of infinite-branching trees for any cardinality of branching.<P>
-
-Useful references for Isabelle/ZF:
-
-<UL>
-<LI> Lawrence C. Paulson,<BR>
- Set theory for verification: I. From foundations to functions.<BR>
- J. Automated Reasoning 11 (1993), 353-389.
-
-<LI> Lawrence C. Paulson,<BR>
- Set theory for verification: II. Induction and recursion.<BR>
- Report 312, Computer Lab (1993).<BR>
-
-<LI> Lawrence C. Paulson,<BR>
- A fixedpoint approach to implementing (co)inductive definitions. <BR>
- In: A. Bundy (editor),<BR>
- CADE-12: 12th International Conference on Automated Deduction,<BR>
- (Springer LNAI 814, 1994), 148-161.
-</UL>
-
-Useful references on ZF set theory:
-
-<UL>
-<LI> Paul R. Halmos, Naive Set Theory (Van Nostrand, 1960)
-
-<LI> Patrick Suppes, Axiomatic Set Theory (Dover, 1972)
-
-<LI> Keith J. Devlin,<BR>
- Fundamentals of Contemporary Set Theory (Springer, 1979)
-
-<LI> Kenneth Kunen<BR>
- Set Theory: An Introduction to Independence Proofs<BR>
- (North-Holland, 1980)
-</UL>
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