doc-src/Inductive/ind-defs.bbl

+\begin{thebibliography}{10}
+
+\bibitem{abramsky90}
+Abramsky, S.,
+\newblock The lazy lambda calculus,
+\newblock In {\em Research Topics in Functional Programming}, D.~A. Turner, Ed.
+  Addison-Wesley, 1977, pp.~65--116
+
+\bibitem{aczel77}
+Aczel, P.,
+\newblock An introduction to inductive definitions,
+\newblock In {\em Handbook of Mathematical Logic}, J.~Barwise, Ed.
+  North-Holland, 1977, pp.~739--782
+
+\bibitem{aczel88}
+Aczel, P.,
+\newblock {\em Non-Well-Founded Sets},
+\newblock CSLI, 1988
+
+\bibitem{bm79}
+Boyer, R.~S., Moore, J.~S.,
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+\newblock Academic Press, 1979
+
+\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
+
+\bibitem{davey&priestley}
+Davey, B.~A., Priestley, H.~A.,
+\newblock {\em Introduction to Lattices and Order},
+\newblock Cambridge Univ. Press, 1990
+
+\bibitem{dybjer91}
+Dybjer, P.,
+\newblock Inductive sets and families in {Martin-L\"of's} type theory and their
+  set-theoretic semantics,
+\newblock In {\em Logical Frameworks}, G.~Huet G.~Plotkin, Eds. Cambridge Univ.
+  Press, 1991, pp.~280--306
+
+\bibitem{types94}
+Dybjer, P., Nordstr{\"om}, B., Smith, J., Eds.,
+\newblock {\em Types for Proofs and Programs: International Workshop {TYPES
+  '94}},
+\newblock LNCS 996. Springer, published 1995
+
+\bibitem{IMPS}
+Farmer, W.~M., Guttman, J.~D., Thayer, F.~J.,
+\newblock {IMPS}: An interactive mathematical proof system,
+\newblock {\em J. Auto. Reas. {\bf 11}}, 2 (1993), 213--248
+
+\bibitem{frost95}
+Frost, J.,
+\newblock A case study of co-induction in {Isabelle},
+\newblock Tech. Rep. 359, Comp. Lab., Univ. Cambridge, Feb. 1995
+
+\bibitem{gimenez-codifying}
+Gim{\'e}nez, E.,
+\newblock Codifying guarded definitions with recursive schemes,
+\newblock In Dybjer et~al. \cite{types94}, pp.~39--59
+
+\bibitem{gunter-trees}
+Gunter, E.~L.,
+\newblock A broader class of trees for recursive type definitions for {HOL},
+\newblock In {\em Higher Order Logic Theorem Proving and Its Applications: HUG
+  '93\/} (Published 1994), J.~Joyce C.~Seger, Eds., LNCS 780, Springer,
+  pp.~141--154
+
+\bibitem{hennessy90}
+Hennessy, M.,
+\newblock {\em The Semantics of Programming Languages: An Elementary
+  Introduction Using Structural Operational Semantics},
+\newblock Wiley, 1990
+
+\bibitem{huet88}
+Huet, G.,
+\newblock Induction principles formalized in the {Calculus of Constructions},
+\newblock In {\em Programming of Future Generation Computers\/} (1988),
+  K.~Fuchi M.~Nivat, Eds., Elsevier, pp.~205--216
+
+\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{milner-ind}
+Milner, R.,
+\newblock How to derive inductions in {LCF},
+\newblock note, Dept. Comp. Sci., Univ. Edinburgh, 1980
+
+\bibitem{milner89}
+Milner, R.,
+\newblock {\em Communication and Concurrency},
+\newblock Prentice-Hall, 1989
+
+\bibitem{milner-coind}
+Milner, R., Tofte, M.,
+\newblock Co-induction in relational semantics,
+\newblock {\em Theoretical Comput. Sci. {\bf 87}\/} (1991), 209--220
+
+\bibitem{monahan84}
+Monahan, B.~Q.,
+\newblock {\em Data Type Proofs using Edinburgh {LCF}},
+\newblock PhD thesis, University of Edinburgh, 1984
+
+\bibitem{nipkow-CR}
+Nipkow, T.,
+\newblock More {Church-Rosser} proofs (in {Isabelle/HOL}),
+\newblock In {\em Automated Deduction --- {CADE}-13 International Conference\/}
+  (1996), M.~McRobbie J.~K. Slaney, Eds., LNAI 1104, Springer, pp.~733--747
+
+\bibitem{pvs-language}
+Owre, S., Shankar, N., Rushby, J.~M.,
+\newblock {\em The {PVS} specification language},
+\newblock Computer Science Laboratory, SRI International, Menlo Park, CA, Apr.
+  1993,
+\newblock Beta release
+
+\bibitem{paulin-tlca}
+Paulin-Mohring, C.,
+\newblock Inductive definitions in the system {Coq}: Rules and properties,
+\newblock In {\em Typed Lambda Calculi and Applications\/} (1993), M.~Bezem
+  J.~Groote, Eds., LNCS 664, Springer, pp.~328--345
+
+\bibitem{paulson-markt}
+Paulson, L.~C.,
+\newblock Tool support for logics of programs,
+\newblock In {\em Mathematical Methods in Program Development: Summer School
+  Marktoberdorf 1996}, M.~Broy, Ed., NATO ASI Series F. Springer,
+\newblock In press
+
+\bibitem{paulson87}
+Paulson, L.~C.,
+\newblock {\em Logic and Computation: Interactive proof with Cambridge LCF},
+\newblock Cambridge Univ. Press, 1987
+
+\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-isa-book}
+Paulson, L.~C.,
+\newblock {\em Isabelle: A Generic Theorem Prover},
+\newblock Springer, 1994,
+\newblock LNCS 828
+
+\bibitem{paulson-set-II}
+Paulson, L.~C.,
+\newblock Set theory for verification: {II}. {Induction} and recursion,
+\newblock {\em J. Auto. Reas. {\bf 15}}, 2 (1995), 167--215
+
+\bibitem{paulson-coind}
+Paulson, L.~C.,
+\newblock Mechanizing coinduction and corecursion in higher-order logic,
+\newblock {\em J. Logic and Comput. {\bf 7}}, 2 (Mar. 1997), 175--204
+
+\bibitem{paulson-final}
+Paulson, L.~C.,
+\newblock A concrete final coalgebra theorem for {ZF} set theory,
+\newblock In Dybjer et~al. \cite{types94}, pp.~120--139
+
+\bibitem{paulson-gr}
+Paulson, L.~C., Gr\c{a}bczewski, K.,
+\newblock Mechanizing set theory: Cardinal arithmetic and the axiom of choice,
+\newblock {\em J. Auto. Reas. {\bf 17}}, 3 (Dec. 1996), 291--323
+
+\bibitem{pitts94}
+Pitts, A.~M.,
+\newblock A co-induction principle for recursively defined domains,
+\newblock {\em Theoretical Comput. Sci. {\bf 124}\/} (1994), 195--219
+
+\bibitem{rasmussen95}
+Rasmussen, O.,
+\newblock The {Church-Rosser} theorem in {Isabelle}: A proof porting
+  experiment,
+\newblock Tech. Rep. 364, Computer Laboratory, University of Cambridge, May
+  1995
+
+\bibitem{saaltink-fme}
+Saaltink, M., Kromodimoeljo, S., Pase, B., Craigen, D., Meisels, I.,
+\newblock An {EVES} data abstraction example,
+\newblock In {\em FME '93: Industrial-Strength Formal Methods\/} (1993),
+  J.~C.~P. Woodcock P.~G. Larsen, Eds., LNCS 670, Springer, pp.~578--596
+
+\bibitem{slind-tfl}
+Slind, K.,
+\newblock Function definition in higher-order logic,
+\newblock In {\em Theorem Proving in Higher Order Logics: {TPHOLs} '96\/}
+  (1996), J.~von Wright, J.~Grundy, J.~Harrison, Eds., LNCS 1125
+
+\bibitem{szasz93}
+Szasz, N.,
+\newblock A machine checked proof that {Ackermann's} function is not primitive
+  recursive,
+\newblock In {\em Logical Environments}, G.~Huet G.~Plotkin, Eds. Cambridge
+  Univ. Press, 1993, pp.~317--338
+
+\bibitem{voelker95}
+V\"olker, N.,
+\newblock On the representation of datatypes in {Isabelle/HOL},
+\newblock In {\em Proceedings of the First Isabelle Users Workshop\/} (Sept.
+  1995), L.~C. Paulson, Ed., Technical Report 379, Comp. Lab., Univ. Cambridge,
+  pp.~206--218
+
+\bibitem{winskel93}
+Winskel, G.,
+\newblock {\em The Formal Semantics of Programming Languages},
+\newblock MIT Press, 1993
+
+\end{thebibliography}