doc-src/ZF/logics-ZF.bbl
author paulson
Wed, 13 Jan 1999 16:36:36 +0100
changeset 6121 5fe77b9b5185
child 6592 c120262044b6
permissions -rw-r--r--
the separate FOL and ZF logics manual, with new material on datatypes and
inductive definitions
     1 \begin{thebibliography}{10}
     2 
     3 \bibitem{abrial93}
     4 J.~R. Abrial and G.~Laffitte.
     5 \newblock Towards the mechanization of the proofs of some classical theorems of
     6   set theory.
     7 \newblock preprint, February 1993.
     8 
     9 \bibitem{basin91}
    10 David Basin and Matt Kaufmann.
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    12 \newblock In {G\'erard} Huet and Gordon Plotkin, editors, {\em Logical
    13   Frameworks}, pages 89--119. Cambridge University Press, 1991.
    14 
    15 \bibitem{boyer86}
    16 Robert Boyer, Ewing Lusk, William McCune, Ross Overbeek, Mark Stickel, and
    17   Lawrence Wos.
    18 \newblock Set theory in first-order logic: Clauses for {G\"{o}del's} axioms.
    19 \newblock {\em Journal of Automated Reasoning}, 2(3):287--327, 1986.
    20 
    21 \bibitem{camilleri92}
    22 J.~Camilleri and T.~F. Melham.
    23 \newblock Reasoning with inductively defined relations in the {HOL} theorem
    24   prover.
    25 \newblock Technical Report 265, Computer Laboratory, University of Cambridge,
    26   August 1992.
    27 
    28 \bibitem{davey&priestley}
    29 B.~A. Davey and H.~A. Priestley.
    30 \newblock {\em Introduction to Lattices and Order}.
    31 \newblock Cambridge University Press, 1990.
    32 
    33 \bibitem{devlin79}
    34 Keith~J. Devlin.
    35 \newblock {\em Fundamentals of Contemporary Set Theory}.
    36 \newblock Springer, 1979.
    37 
    38 \bibitem{dummett}
    39 Michael Dummett.
    40 \newblock {\em Elements of Intuitionism}.
    41 \newblock Oxford University Press, 1977.
    42 
    43 \bibitem{dyckhoff}
    44 Roy Dyckhoff.
    45 \newblock Contraction-free sequent calculi for intuitionistic logic.
    46 \newblock {\em Journal of Symbolic Logic}, 57(3):795--807, 1992.
    47 
    48 \bibitem{halmos60}
    49 Paul~R. Halmos.
    50 \newblock {\em Naive Set Theory}.
    51 \newblock Van Nostrand, 1960.
    52 
    53 \bibitem{kunen80}
    54 Kenneth Kunen.
    55 \newblock {\em Set Theory: An Introduction to Independence Proofs}.
    56 \newblock North-Holland, 1980.
    57 
    58 \bibitem{noel}
    59 Philippe No{\"e}l.
    60 \newblock Experimenting with {Isabelle} in {ZF} set theory.
    61 \newblock {\em Journal of Automated Reasoning}, 10(1):15--58, 1993.
    62 
    63 \bibitem{paulin92}
    64 Christine Paulin-Mohring.
    65 \newblock Inductive definitions in the system {Coq}: Rules and properties.
    66 \newblock Research Report 92-49, LIP, Ecole Normale Sup\'erieure de Lyon,
    67   December 1992.
    68 
    69 \bibitem{paulson87}
    70 Lawrence~C. Paulson.
    71 \newblock {\em Logic and Computation: Interactive proof with Cambridge LCF}.
    72 \newblock Cambridge University Press, 1987.
    73 
    74 \bibitem{paulson-set-I}
    75 Lawrence~C. Paulson.
    76 \newblock Set theory for verification: {I}. {From} foundations to functions.
    77 \newblock {\em Journal of Automated Reasoning}, 11(3):353--389, 1993.
    78 
    79 \bibitem{paulson-CADE}
    80 Lawrence~C. Paulson.
    81 \newblock A fixedpoint approach to implementing (co)inductive definitions.
    82 \newblock In Alan Bundy, editor, {\em Automated Deduction --- {CADE}-12
    83   International Conference}, LNAI 814, pages 148--161. Springer, 1994.
    84 
    85 \bibitem{paulson-final}
    86 Lawrence~C. Paulson.
    87 \newblock A concrete final coalgebra theorem for {ZF} set theory.
    88 \newblock In Peter Dybjer, Bengt Nordstr{\"om}, and Jan Smith, editors, {\em
    89   Types for Proofs and Programs: International Workshop {TYPES '94}}, LNCS 996,
    90   pages 120--139. Springer, 1995.
    91 
    92 \bibitem{paulson-set-II}
    93 Lawrence~C. Paulson.
    94 \newblock Set theory for verification: {II}. {Induction} and recursion.
    95 \newblock {\em Journal of Automated Reasoning}, 15(2):167--215, 1995.
    96 
    97 \bibitem{paulson-generic}
    98 Lawrence~C. Paulson.
    99 \newblock Generic automatic proof tools.
   100 \newblock In Robert Veroff, editor, {\em Automated Reasoning and its
   101   Applications: Essays in Honor of {Larry Wos}}, chapter~3. MIT Press, 1997.
   102 
   103 \bibitem{quaife92}
   104 Art Quaife.
   105 \newblock Automated deduction in {von Neumann-Bernays-G\"{o}del} set theory.
   106 \newblock {\em Journal of Automated Reasoning}, 8(1):91--147, 1992.
   107 
   108 \bibitem{suppes72}
   109 Patrick Suppes.
   110 \newblock {\em Axiomatic Set Theory}.
   111 \newblock Dover, 1972.
   112 
   113 \bibitem{principia}
   114 A.~N. Whitehead and B.~Russell.
   115 \newblock {\em Principia Mathematica}.
   116 \newblock Cambridge University Press, 1962.
   117 \newblock Paperback edition to *56, abridged from the 2nd edition (1927).
   118 
   119 \bibitem{winskel93}
   120 Glynn Winskel.
   121 \newblock {\em The Formal Semantics of Programming Languages}.
   122 \newblock MIT Press, 1993.
   123 
   124 \end{thebibliography}