diff -r 30bd42401ab2 -r d8205bb279a7 doc-src/Logics/logics.bbl --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/doc-src/Logics/logics.bbl Wed Nov 10 05:00:57 1993 +0100 @@ -0,0 +1,140 @@ +\begin{thebibliography}{10} + +\bibitem{andrews86} +Peter~B. Andrews. +\newblock {\em An Introduction to Mathematical Logic and Type Theory: To Truth + Through Proof}. +\newblock Academic Press, 1986. + +\bibitem{boyer86} +Robert Boyer, Ewing Lusk, William McCune, Ross Overbeek, Mark Stickel, and + Lawrence Wos. +\newblock Set theory in first-order logic: Clauses for {G\"odel's} axioms. +\newblock {\em Journal of Automated Reasoning}, 2:287--327, 1986. + +\bibitem{church40} +Alonzo Church. +\newblock A formulation of the simple theory of types. +\newblock {\em Journal of Symbolic Logic}, 5:56--68, 1940. + +\bibitem{dummett} +Michael Dummett. +\newblock {\em Elements of Intuitionism}. +\newblock Oxford, 1977. + +\bibitem{dyckhoff} +Roy Dyckhoff. +\newblock Contraction-free sequent calculi for intuitionistic logic. +\newblock {\em Journal of Symbolic Logic}, 57(3):795--807, 1992. + +\bibitem{felty91a} +Amy Felty. +\newblock A logic program for transforming sequent proofs to natural deduction + proofs. +\newblock In Peter Schroeder-Heister, editor, {\em Extensions of Logic + Programming}, pages 157--178. Springer, 1991. +\newblock LNAI 475. + +\bibitem{OBJ} +K.~Futatsugi, J.A. Goguen, Jean-Pierre Jouannaud, and J.~Meseguer. +\newblock Principles of {OBJ2}. +\newblock In {\em Symposium on Principles of Programming Languages}, pages + 52--66, 1985. + +\bibitem{gallier86} +J.~H. Gallier. +\newblock {\em Logic for Computer Science: Foundations of Automatic Theorem + Proving}. +\newblock Harper \& Row, 1986. + +\bibitem{gordon88a} +Michael J.~C. Gordon. +\newblock {HOL}: A proof generating system for higher-order logic. +\newblock In Graham Birtwistle and P.~A. Subrahmanyam, editors, {\em {VLSI} + Specification, Verification and Synthesis}, pages 73--128. Kluwer Academic + Publishers, 1988. + +\bibitem{halmos60} +Paul~R. Halmos. +\newblock {\em Naive Set Theory}. +\newblock Van Nostrand, 1960. + +\bibitem{huet78} +G.~P. Huet and B.~Lang. +\newblock Proving and applying program transformations expressed with + second-order patterns. +\newblock {\em Acta Informatica}, 11:31--55, 1978. + +\bibitem{martinlof84} +Per Martin-L\"of. +\newblock {\em Intuitionistic type theory}. +\newblock Bibliopolis, 1984. + +\bibitem{nipkow-prehofer} +Tobias Nipkow and Christian Prehofer. +\newblock Type checking type classes. +\newblock In {\em 20th ACM Symp.\ Principles of Programming Languages}, 1993. +\newblock To appear. + +\bibitem{noel} +Philippe {No\"el}. +\newblock Experimenting with {Isabelle} in {ZF} set theory. +\newblock {\em Journal of Automated Reasoning}. +\newblock In press. + +\bibitem{nordstrom90} +Bengt {Nordstr\"om}, Kent Petersson, and Jan Smith. +\newblock {\em Programming in {Martin-L\"of}'s Type Theory. An Introduction}. +\newblock Oxford, 1990. + +\bibitem{paulson87} +Lawrence~C. Paulson. +\newblock {\em Logic and Computation: Interactive proof with Cambridge LCF}. +\newblock Cambridge University Press, 1987. + +\bibitem{paulson-COLOG} +Lawrence~C. Paulson. +\newblock A formulation of the simple theory of types (for {Isabelle}). +\newblock In P.~Martin-L\"of and G.~Mints, editors, {\em COLOG-88: + International Conference on Computer Logic}, Tallinn, 1990. Estonian Academy + of Sciences, Springer. +\newblock LNCS 417. + +\bibitem{pelletier86} +F.~J. Pelletier. +\newblock Seventy-five problems for testing automatic theorem provers. +\newblock {\em Journal of Automated Reasoning}, 2:191--216, 1986. +\newblock Errata, JAR 4 (1988), 235--236. + +\bibitem{plaisted90} +David~A. Plaisted. +\newblock A sequent-style model elimination strategy and a positive refinement. +\newblock {\em Journal of Automated Reasoning}, 6(4):389--402, 1990. + +\bibitem{quaife92} +Art Quaife. +\newblock Automated deduction in {von Neumann-Bernays-G\"odel} set theory. +\newblock {\em Journal of Automated Reasoning}, 8(1):91--147, 1992. + +\bibitem{suppes72} +Patrick Suppes. +\newblock {\em Axiomatic Set Theory}. +\newblock Dover, 1972. + +\bibitem{takeuti87} +G.~Takeuti. +\newblock {\em Proof Theory}. +\newblock North Holland, 2nd edition, 1987. + +\bibitem{thompson91} +Simon Thompson. +\newblock {\em Type Theory and Functional Programming}. +\newblock Addison-Wesley, 1991. + +\bibitem{principia} +A.~N. Whitehead and B.~Russell. +\newblock {\em Principia Mathematica}. +\newblock Cambridge University Press, 1962. +\newblock Paperback edition to *56, abridged from the 2nd edition (1927). + +\end{thebibliography}