doc-src/ind-defs.bbl
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\begin{thebibliography}{10}
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\bibitem{abramsky90}
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Abramsky, S.,
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\newblock The lazy lambda calculus,
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\newblock In {\em Resesarch Topics in Functional Programming}, D.~A. Turner,
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  Ed. Addison-Wesley, 1977, pp.~65--116
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\bibitem{aczel77}
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Aczel, P.,
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\newblock An introduction to inductive definitions,
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\newblock In {\em Handbook of Mathematical Logic}, J.~Barwise, Ed.
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  North-Holland, 1977, pp.~739--782
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\bibitem{aczel88}
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Aczel, P.,
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\newblock {\em Non-Well-Founded Sets},
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\newblock CSLI, 1988
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\bibitem{bm79}
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Boyer, R.~S., Moore, J.~S.,
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\newblock {\em A Computational Logic},
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\newblock Academic Press, 1979
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\bibitem{camilleri92}
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Camilleri, J., Melham, T.~F.,
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\newblock Reasoning with inductively defined relations in the {HOL} theorem
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  prover,
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\newblock Tech. Rep. 265, Comp. Lab., Univ. Cambridge, Aug. 1992
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\bibitem{davey&priestley}
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Davey, B.~A., Priestley, H.~A.,
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\newblock {\em Introduction to Lattices and Order},
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\newblock Cambridge Univ. Press, 1990
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\bibitem{dybjer91}
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Dybjer, P.,
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\newblock Inductive sets and families in {Martin-L\"of's} type theory and their
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  set-theoretic semantics,
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\newblock In {\em Logical Frameworks}, G.~Huet, G.~Plotkin, Eds. Cambridge
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  Univ. Press, 1991, pp.~280--306
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\bibitem{IMPS}
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Farmer, W.~M., Guttman, J.~D., Thayer, F.~J.,
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\newblock {IMPS}: An interactive mathematical proof system,
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\newblock {\em J. Auto. Reas. {\bf 11}}, 2 (1993), 213--248
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\bibitem{frost95}
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Frost, J.,
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\newblock A case study of co-induction in {Isabelle},
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\newblock Tech. Rep. 359, Comp. Lab., Univ. Cambridge, Feb. 1995
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\bibitem{hennessy90}
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Hennessy, M.,
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\newblock {\em The Semantics of Programming Languages: An Elementary
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  Introduction Using Structural Operational Semantics},
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\newblock Wiley, 1990
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\bibitem{huet88}
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Huet, G.,
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\newblock Induction principles formalized in the {Calculus of Constructions},
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\newblock In {\em Programming of Future Generation Computers\/} (1988),
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  K.~Fuchi, M.~Nivat, Eds., Elsevier, pp.~205--216
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\bibitem{melham89}
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Melham, T.~F.,
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\newblock Automating recursive type definitions in higher order logic,
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\newblock In {\em Current Trends in Hardware Verification and Automated Theorem
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  Proving}, G.~Birtwistle, P.~A. Subrahmanyam, Eds. Springer, 1989,
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  pp.~341--386
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\bibitem{milner-ind}
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Milner, R.,
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\newblock How to derive inductions in {LCF},
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\newblock note, Dept. Comp. Sci., Univ. Edinburgh, 1980
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\bibitem{milner89}
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Milner, R.,
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\newblock {\em Communication and Concurrency},
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\newblock Prentice-Hall, 1989
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\bibitem{milner-coind}
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Milner, R., Tofte, M.,
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\newblock Co-induction in relational semantics,
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\newblock {\em Theoretical Comput. Sci. {\bf 87}\/} (1991), 209--220
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\bibitem{monahan84}
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Monahan, B.~Q.,
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\newblock {\em Data Type Proofs using Edinburgh {LCF}},
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\newblock PhD thesis, University of Edinburgh, 1984
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\bibitem{nipkow-CR}
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Nipkow, T.,
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\newblock More {Church-Rosser} proofs (in {Isabelle/HOL}),
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\newblock Tech. rep., T. U. Munich, 1996
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\bibitem{paulin92}
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Paulin-Mohring, C.,
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\newblock Inductive definitions in the system {Coq}: Rules and properties,
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\newblock Research Report 92-49, LIP, Ecole Normale Sup\'erieure de Lyon, Dec.
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  1992
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\bibitem{paulson87}
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Paulson, L.~C.,
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\newblock {\em Logic and Computation: Interactive proof with Cambridge LCF},
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\newblock Cambridge Univ. Press, 1987
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\bibitem{isabelle-intro}
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Paulson, L.~C.,
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\newblock Introduction to {Isabelle},
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\newblock Tech. Rep. 280, Comp. Lab., Univ. Cambridge, 1993
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\bibitem{paulson-set-I}
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Paulson, L.~C.,
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\newblock Set theory for verification: {I}. {From} foundations to functions,
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\newblock {\em J. Auto. Reas. {\bf 11}}, 3 (1993), 353--389
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\bibitem{paulson-set-II}
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Paulson, L.~C.,
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\newblock Set theory for verification: {II}. {Induction} and recursion,
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\newblock {\em J. Auto. Reas. {\bf 15}}, 2 (1995), 167--215
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\bibitem{paulson-coind}
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Paulson, L.~C.,
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\newblock Mechanizing coinduction and corecursion in higher-order logic,
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\newblock {\em J. Logic and Comput.\/} (1996),
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\newblock In press
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\bibitem{paulson-final}
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Paulson, L.~C.,
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\newblock A concrete final coalgebra theorem for {ZF} set theory,
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\newblock In {\em Types for Proofs and Programs: International Workshop {TYPES
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  '94}\/} (published 1995), P.~Dybjer, B.~Nordstr{\"om},, J.~Smith, Eds., LNCS
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  996, Springer, pp.~120--139
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\bibitem{paulson-gr}
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Paulson, L.~C., Gr\c{a}bczewski, K.,
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\newblock Mechanizing set theory: Cardinal arithmetic and the axiom of choice,
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\newblock {\em J. Auto. Reas.\/} (1996),
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\newblock In press
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\bibitem{pitts94}
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Pitts, A.~M.,
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\newblock A co-induction principle for recursively defined domains,
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\newblock {\em Theoretical Comput. Sci. {\bf 124}\/} (1994), 195--219
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\bibitem{rasmussen95}
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Rasmussen, O.,
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\newblock The {Church-Rosser} theorem in {Isabelle}: A proof porting
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  experiment,
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\newblock Tech. Rep. 364, Computer Laboratory, University of Cambridge, May
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  1995
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\bibitem{saaltink-fme}
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Saaltink, M., Kromodimoeljo, S., Pase, B., Craigen, D., Meisels, I.,
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\newblock An {EVES} data abstraction example,
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\newblock In {\em FME '93: Industrial-Strength Formal Methods\/} (1993),
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  J.~C.~P. Woodcock, P.~G. Larsen, Eds., LNCS 670, Springer, pp.~578--596
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\bibitem{slind-tfl}
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Slind, K.,
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\newblock Function definition in higher-order logic,
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\newblock Tech. rep., T. U. Munich, 1996
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\bibitem{szasz93}
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Szasz, N.,
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\newblock A machine checked proof that {Ackermann's} function is not primitive
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  recursive,
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\newblock In {\em Logical Environments}, G.~Huet, G.~Plotkin, Eds. Cambridge
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  Univ. Press, 1993, pp.~317--338
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\bibitem{voelker95}
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V\"olker, N.,
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\newblock On the representation of datatypes in {Isabelle/HOL},
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\newblock In {\em Proceedings of the First Isabelle Users Workshop\/} (Sept.
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  1995), L.~C. Paulson, Ed., Technical Report 379, Comp. Lab., Univ. Cambridge,
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  pp.~206--218
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\bibitem{winskel93}
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Winskel, G.,
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\newblock {\em The Formal Semantics of Programming Languages},
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\newblock MIT Press, 1993
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\end{thebibliography}