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 Research Topics in Functional Programming}, D.~A. Turner, Ed.
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  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 Univ.
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  Press, 1991, pp.~280--306
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\bibitem{types94}
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Dybjer, P., Nordstr{\"om}, B., Smith, J., Eds.,
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\newblock {\em Types for Proofs and Programs: International Workshop {TYPES
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  '94}},
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\newblock LNCS 996. Springer, published 1995
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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{gimenez-codifying}
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Gim{\'e}nez, E.,
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\newblock Codifying guarded definitions with recursive schemes,
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\newblock In Dybjer et~al. \cite{types94}, pp.~39--59
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\bibitem{gunter-trees}
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Gunter, E.~L.,
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\newblock A broader class of trees for recursive type definitions for {HOL},
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\newblock In {\em Higher Order Logic Theorem Proving and Its Applications: HUG
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  '93\/} (Published 1994), J.~Joyce C.~Seger, Eds., LNCS 780, Springer,
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  pp.~141--154
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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, 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 In {\em Automated Deduction --- {CADE}-13 International Conference\/}
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  (1996), M.~McRobbie J.~K. Slaney, Eds., LNAI 1104, Springer, pp.~733--747
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\bibitem{pvs-language}
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Owre, S., Shankar, N., Rushby, J.~M.,
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\newblock {\em The {PVS} specification language},
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\newblock Computer Science Laboratory, SRI International, Menlo Park, CA, Apr.
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  1993,
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\newblock Beta release
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\bibitem{paulin-tlca}
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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 In {\em Typed Lambda Calculi and Applications\/} (1993), M.~Bezem
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  J.~Groote, Eds., LNCS 664, Springer, pp.~328--345
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\bibitem{paulson-markt}
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Paulson, L.~C.,
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\newblock Tool support for logics of programs,
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\newblock In {\em Mathematical Methods in Program Development: Summer School
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  Marktoberdorf 1996}, M.~Broy, Ed., NATO ASI Series F. Springer,
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\newblock In press
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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{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-isa-book}
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Paulson, L.~C.,
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\newblock {\em Isabelle: A Generic Theorem Prover},
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\newblock Springer, 1994,
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\newblock LNCS 828
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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. {\bf 7}}, 2 (Mar. 1997),
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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 Dybjer et~al. \cite{types94}, 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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\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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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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Slind, K.,
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\newblock Function definition in higher-order logic,
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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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\newblock In {\em Logical Environments}, G.~Huet G.~Plotkin, Eds. Cambridge
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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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\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}