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-\begin{thebibliography}{10}
-
-\bibitem{andrews86}
-Andrews, P.~B.,
-\newblock {\em An Introduction to Mathematical Logic and Type Theory: To Truth
-  Through Proof},
-\newblock Academic Press, 1986
-
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-\newblock In {\em Logical Frameworks}, G.~Huet, G.~Plotkin, Eds. Cambridge
-  Univ. Press, 1991, pp.~89--119
-
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-\newblock Set theory in first-order logic: Clauses for {G\"odel's} axioms,
-\newblock {\em J. Auto. Reas. {\bf 2}}, 3 (1986), 287--327
-
-\bibitem{bm88book}
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-\newblock {\em A Computational Logic Handbook},
-\newblock Academic Press, 1988
-
-\bibitem{camilleri92}
-Camilleri, J., Melham, T.~F.,
-\newblock Reasoning with inductively defined relations in the {HOL} theorem
-  prover,
-\newblock Tech. Rep. 265, Comp. Lab., Univ. Cambridge, Aug. 1992
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-\newblock {\em Artificial Intelligence Programming},
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-\newblock {\em Implementing Mathematics with the Nuprl Proof Development
-  System},
-\newblock Prentice-Hall, 1986
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-\newblock {\em Introduction to Lattices and Order},
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-\newblock {\em A Generic Logic Environment},
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-de~Bruijn, N.~G.,
-\newblock Lambda calculus notation with nameless dummies, a tool for automatic
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-\newblock {\em Indag. Math. {\bf 34}\/} (1972), 381--392
-
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-\newblock {\em Fundamentals of Contemporary Set Theory},
-\newblock Springer, 1979
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-\bibitem{coq}
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-\newblock The {Coq} proof assistant user's guide,
-\newblock Technical Report 134, INRIA-Rocquencourt, 1991
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-\newblock {\em Elements of Intuitionism},
-\newblock Oxford University Press, 1977
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-\newblock Contraction-free sequent calculi for intuitionistic logic,
-\newblock {\em J. Symb. Logic {\bf 57}}, 3 (1992), 795--807
-
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-Felty, A.,
-\newblock A logic program for transforming sequent proofs to natural deduction
-  proofs,
-\newblock In {\em Extensions of Logic Programming\/} (1991),
-  P.~Schroeder-Heister, Ed., Springer, pp.~157--178,
-\newblock LNAI 475
-
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-\newblock Implementing tactics and tacticals in a higher-order logic
-  programming language,
-\newblock {\em J. Auto. Reas. {\bf 11}}, 1 (1993), 43--82
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-\bibitem{frost93}
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-\newblock A case study of co-induction in {Isabelle HOL},
-\newblock Tech. Rep. 308, Comp. Lab., Univ. Cambridge, Aug. 1993
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-\newblock In {\em Princ. Prog. Lang.\/} (1985), pp.~52--66
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-Gallier, J.~H.,
-\newblock {\em Logic for Computer Science: Foundations of Automatic Theorem
-  Proving},
-\newblock Harper \& Row, 1986
-
-\bibitem{mgordon-hol}
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-\newblock {\em Introduction to {HOL}: A Theorem Proving Environment for Higher
-  Order Logic},
-\newblock Cambridge Univ. Press, 1993
-
-\bibitem{halmos60}
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-\newblock Van Nostrand, 1960
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-\bibitem{haskell-tutorial}
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-  functional language,
-\newblock {\em {SIGPLAN} {\bf 27}}, 5 (May 1992),
-\newblock Version 1.2
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-\bibitem{huet75}
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-\bibitem{mural}
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-
-\bibitem{alf}
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-  '93}\/} (published 1994), Springer, pp.~213--237,
-\newblock LNCS 806
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-\bibitem{mw81}
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-\newblock Deductive synthesis of the unification algorithm,
-\newblock {\em Sci. Comput. Programming {\bf 1}}, 1 (1981), 5--48
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-\bibitem{martin-nipkow}
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-  Springer, pp.~366--380,
-\newblock LNCS 449
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-\bibitem{martinlof84}
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-\newblock {\em Intuitionistic type theory},
-\newblock Bibliopolis, 1984
-
-\bibitem{melham89}
-Melham, T.~F.,
-\newblock Automating recursive type definitions in higher order logic,
-\newblock In {\em Current Trends in Hardware Verification and Automated Theorem
-  Proving}, G.~Birtwistle, P.~A. Subrahmanyam, Eds. Springer, 1989,
-  pp.~341--386
-
-\bibitem{miller-mixed}
-Miller, D.,
-\newblock Unification under a mixed prefix,
-\newblock {\em J. Symb. Comput. {\bf 14}}, 4 (1992), 321--358
-
-\bibitem{milner-coind}
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-\newblock Co-induction in relational semantics,
-\newblock {\em Theoretical Comput. Sci. {\bf 87}\/} (1991), 209--220
-
-\bibitem{nipkow-prehofer}
-Nipkow, T., Prehofer, C.,
-\newblock Type checking type classes,
-\newblock In {\em 20th Princ. Prog. Lang.\/} (1993), ACM Press, pp.~409--418,
-\newblock Revised version to appear in \bgroup\em J. Func. Prog.\egroup
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-\bibitem{noel}
-{No\"el}, P.,
-\newblock Experimenting with {Isabelle} in {ZF} set theory,
-\newblock {\em J. Auto. Reas. {\bf 10}}, 1 (1993), 15--58
-
-\bibitem{nordstrom90}
-{Nordstr\"om}, B., Petersson, K., Smith, J.,
-\newblock {\em Programming in {Martin-L\"of}'s Type Theory. An Introduction},
-\newblock Oxford University Press, 1990
-
-\bibitem{paulin92}
-Paulin-Mohring, C.,
-\newblock Inductive definitions in the system {Coq}: Rules and properties,
-\newblock Research Report 92-49, LIP, Ecole Normale Sup\'erieure de Lyon, Dec.
-  1992
-
-\bibitem{paulson85}
-Paulson, L.~C.,
-\newblock Verifying the unification algorithm in {LCF},
-\newblock {\em Sci. Comput. Programming {\bf 5}\/} (1985), 143--170
-
-\bibitem{paulson87}
-Paulson, L.~C.,
-\newblock {\em Logic and Computation: Interactive proof with Cambridge LCF},
-\newblock Cambridge Univ. Press, 1987
-
-\bibitem{paulson89}
-Paulson, L.~C.,
-\newblock The foundation of a generic theorem prover,
-\newblock {\em J. Auto. Reas. {\bf 5}}, 3 (1989), 363--397
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-\bibitem{paulson-COLOG}
-Paulson, L.~C.,
-\newblock A formulation of the simple theory of types (for {Isabelle}),
-\newblock In {\em COLOG-88: International Conference on Computer Logic\/}
-  (Tallinn, 1990), P.~Martin-L\"of, G.~Mints, Eds., Estonian Academy of
-  Sciences, Springer,
-\newblock LNCS 417
-
-\bibitem{paulson700}
-Paulson, L.~C.,
-\newblock {Isabelle}: The next 700 theorem provers,
-\newblock In {\em Logic and Computer Science}, P.~Odifreddi, Ed. Academic
-  Press, 1990, pp.~361--386
-
-\bibitem{paulson91}
-Paulson, L.~C.,
-\newblock {\em {ML} for the Working Programmer},
-\newblock Cambridge Univ. Press, 1991
-
-\bibitem{paulson-coind}
-Paulson, L.~C.,
-\newblock Co-induction and co-recursion in higher-order logic,
-\newblock Tech. Rep. 304, Comp. Lab., Univ. Cambridge, July 1993
-
-\bibitem{paulson-fixedpt}
-Paulson, L.~C.,
-\newblock A fixedpoint approach to implementing (co)inductive definitions,
-\newblock Tech. Rep. 320, Comp. Lab., Univ. Cambridge, Dec. 1993
-
-\bibitem{paulson-set-I}
-Paulson, L.~C.,
-\newblock Set theory for verification: {I}. {From} foundations to functions,
-\newblock {\em J. Auto. Reas. {\bf 11}}, 3 (1993), 353--389
-
-\bibitem{paulson-set-II}
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-\newblock Set theory for verification: {II}. {Induction} and recursion,
-\newblock Tech. Rep. 312, Comp. Lab., Univ. Cambridge, 1993
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-\bibitem{paulson-final}
-Paulson, L.~C.,
-\newblock A concrete final coalgebra theorem for {ZF} set theory,
-\newblock Tech. rep., Comp. Lab., Univ. Cambridge, 1994
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-\bibitem{pelletier86}
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-\newblock Errata, JAR 4 (1988), 235--236
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-\bibitem{plaisted90}
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-\newblock A sequent-style model elimination strategy and a positive refinement,
-\newblock {\em J. Auto. Reas. {\bf 6}}, 4 (1990), 389--402
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-\bibitem{quaife92}
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-\newblock Automated deduction in {von Neumann-Bernays-G\"odel} set theory,
-\newblock {\em J. Auto. Reas. {\bf 8}}, 1 (1992), 91--147
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-\bibitem{sawamura92}
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-\newblock Proof methods based on sheet of thought in {EUODHILOS},
-\newblock Research Report IIAS-RR-92-6E, International Institute for Advanced
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-\bibitem{suppes72}
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-\newblock {\em Axiomatic Set Theory},
-\newblock Dover, 1972
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-\bibitem{takeuti87}
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-\bibitem{thompson91}
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-\newblock {\em Type Theory and Functional Programming},
-\newblock Addison-Wesley, 1991
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-\bibitem{principia}
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-\newblock {\em Principia Mathematica},
-\newblock Cambridge Univ. Press, 1962,
-\newblock Paperback edition to *56, abridged from the 2nd edition (1927)
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-\bibitem{wos-bledsoe}
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-\newblock Automated reasoning and {Bledsoe's} dream for the field,
-\newblock In {\em Automated Reasoning: Essays in Honor of {Woody Bledsoe}},
-  R.~S. Boyer, Ed. Kluwer Academic Publishers, 1991, pp.~297--342
-
-\end{thebibliography}




