author | wenzelm |
Thu, 18 Feb 1999 12:15:55 +0100 | |
changeset 6286 | ce30e19af3df |
parent 6072 | 5583261db33d |
child 6407 | ec60d821f3f6 |
permissions | -rw-r--r-- |
104 | 1 |
\begin{thebibliography}{10} |
2 |
||
3 |
\bibitem{andrews86} |
|
4 |
Peter~B. Andrews. |
|
5 |
\newblock {\em An Introduction to Mathematical Logic and Type Theory: To Truth |
|
6 |
Through Proof}. |
|
7 |
\newblock Academic Press, 1986. |
|
8 |
||
9 |
\bibitem{church40} |
|
10 |
Alonzo Church. |
|
11 |
\newblock A formulation of the simple theory of types. |
|
598 | 12 |
\newblock {\em Journal of Symbolic Logic}, 5:56--68, 1940. |
359 | 13 |
|
14 |
\bibitem{coen92} |
|
15 |
Martin~D. Coen. |
|
16 |
\newblock {\em Interactive Program Derivation}. |
|
707 | 17 |
\newblock PhD thesis, University of Cambridge, November 1992. |
359 | 18 |
\newblock Computer Laboratory Technical Report 272. |
19 |
||
20 |
\bibitem{constable86} |
|
630 | 21 |
R.~L. Constable et~al. |
359 | 22 |
\newblock {\em Implementing Mathematics with the Nuprl Proof Development |
23 |
System}. |
|
598 | 24 |
\newblock Prentice-Hall, 1986. |
359 | 25 |
|
104 | 26 |
\bibitem{felty91a} |
27 |
Amy Felty. |
|
28 |
\newblock A logic program for transforming sequent proofs to natural deduction |
|
29 |
proofs. |
|
30 |
\newblock In Peter Schroeder-Heister, editor, {\em Extensions of Logic |
|
1399 | 31 |
Programming}, LNAI 475, pages 157--178. Springer, 1991. |
104 | 32 |
|
114 | 33 |
\bibitem{frost93} |
34 |
Jacob Frost. |
|
35 |
\newblock A case study of co-induction in {Isabelle HOL}. |
|
598 | 36 |
\newblock Technical Report 308, Computer Laboratory, University of Cambridge, |
37 |
August 1993. |
|
104 | 38 |
|
39 |
\bibitem{gallier86} |
|
40 |
J.~H. Gallier. |
|
41 |
\newblock {\em Logic for Computer Science: Foundations of Automatic Theorem |
|
42 |
Proving}. |
|
43 |
\newblock Harper \& Row, 1986. |
|
44 |
||
359 | 45 |
\bibitem{mgordon-hol} |
46 |
M.~J.~C. Gordon and T.~F. Melham. |
|
47 |
\newblock {\em Introduction to {HOL}: A Theorem Proving Environment for Higher |
|
48 |
Order Logic}. |
|
598 | 49 |
\newblock Cambridge University Press, 1993. |
104 | 50 |
|
51 |
\bibitem{huet78} |
|
52 |
G.~P. Huet and B.~Lang. |
|
53 |
\newblock Proving and applying program transformations expressed with |
|
54 |
second-order patterns. |
|
55 |
\newblock {\em Acta Informatica}, 11:31--55, 1978. |
|
56 |
||
359 | 57 |
\bibitem{alf} |
1536 | 58 |
Lena Magnusson and Bengt {Nordstr\"{o}m}. |
359 | 59 |
\newblock The {ALF} proof editor and its proof engine. |
1444 | 60 |
\newblock In Henk Barendregt and Tobias Nipkow, editors, {\em Types for Proofs |
61 |
and Programs: International Workshop {TYPES '93}}, LNCS 806, pages 213--237. |
|
62 |
Springer, published 1994. |
|
359 | 63 |
|
114 | 64 |
\bibitem{mw81} |
65 |
Zohar Manna and Richard Waldinger. |
|
66 |
\newblock Deductive synthesis of the unification algorithm. |
|
67 |
\newblock {\em Science of Computer Programming}, 1(1):5--48, 1981. |
|
68 |
||
104 | 69 |
\bibitem{martinlof84} |
70 |
Per Martin-L\"of. |
|
71 |
\newblock {\em Intuitionistic type theory}. |
|
72 |
\newblock Bibliopolis, 1984. |
|
73 |
||
2933
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
74 |
\bibitem{milner78} |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
75 |
Robin Milner. |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
76 |
\newblock A theory of type polymorphism in programming. |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
77 |
\newblock {\em Journal of Computer and System Sciences}, 17:348--375, 1978. |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
78 |
|
114 | 79 |
\bibitem{milner-coind} |
80 |
Robin Milner and Mads Tofte. |
|
81 |
\newblock Co-induction in relational semantics. |
|
82 |
\newblock {\em Theoretical Computer Science}, 87:209--220, 1991. |
|
104 | 83 |
|
5745 | 84 |
\bibitem{Naraschewski-Wenzel:1998:TPHOL} |
85 |
Wolfgang Naraschewski and Markus Wenzel. |
|
86 |
\newblock Object-oriented verification based on record subtyping in |
|
87 |
higher-order logic. |
|
6072 | 88 |
\newblock In Jim Grundy and Malcolm Newey, editors, {\em Theorem Proving in |
89 |
Higher Order Logics: {TPHOLs} '98}, LNCS 1479, pages 349--366, 1998. |
|
5745 | 90 |
|
2933
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
91 |
\bibitem{nazareth-nipkow} |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
92 |
Dieter Nazareth and Tobias Nipkow. |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
93 |
\newblock Formal verification of algorithm {W}: The monomorphic case. |
3488 | 94 |
\newblock In von Wright et~al. \cite{tphols96}, pages 331--345. |
2933
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
95 |
|
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
96 |
\bibitem{Nipkow-CR} |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
97 |
Tobias Nipkow. |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
98 |
\newblock More {Church-Rosser} proofs (in {Isabelle/HOL}). |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
99 |
\newblock In Michael McRobbie and John~K. Slaney, editors, {\em Automated |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
100 |
Deduction --- {CADE}-13 International Conference}, LNAI 1104, pages 733--747. |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
101 |
Springer, 1996. |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
102 |
|
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
103 |
\bibitem{nipkow-IMP} |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
104 |
Tobias Nipkow. |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
105 |
\newblock Winskel is (almost) right: Towards a mechanized semantics textbook. |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
106 |
\newblock In V.~Chandru and V.~Vinay, editors, {\em Foundations of Software |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
107 |
Technology and Theoretical Computer Science}, volume 1180 of {\em LNCS}, |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
108 |
pages 180--192. Springer, 1996. |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
109 |
|
104 | 110 |
\bibitem{nordstrom90} |
111 |
Bengt {Nordstr\"om}, Kent Petersson, and Jan Smith. |
|
112 |
\newblock {\em Programming in {Martin-L\"of}'s Type Theory. An Introduction}. |
|
114 | 113 |
\newblock Oxford University Press, 1990. |
114 |
||
115 |
\bibitem{paulson85} |
|
116 |
Lawrence~C. Paulson. |
|
117 |
\newblock Verifying the unification algorithm in {LCF}. |
|
118 |
\newblock {\em Science of Computer Programming}, 5:143--170, 1985. |
|
104 | 119 |
|
120 |
\bibitem{paulson87} |
|
121 |
Lawrence~C. Paulson. |
|
122 |
\newblock {\em Logic and Computation: Interactive proof with Cambridge LCF}. |
|
598 | 123 |
\newblock Cambridge University Press, 1987. |
104 | 124 |
|
598 | 125 |
\bibitem{paulson-CADE} |
126 |
Lawrence~C. Paulson. |
|
127 |
\newblock A fixedpoint approach to implementing (co)inductive definitions. |
|
2495 | 128 |
\newblock In Alan Bundy, editor, {\em Automated Deduction --- {CADE}-12 |
129 |
International Conference}, LNAI 814, pages 148--161. Springer, 1994. |
|
1399 | 130 |
|
131 |
\bibitem{paulson-set-II} |
|
132 |
Lawrence~C. Paulson. |
|
133 |
\newblock Set theory for verification: {II}. {Induction} and recursion. |
|
134 |
\newblock {\em Journal of Automated Reasoning}, 15(2):167--215, 1995. |
|
878 | 135 |
|
2933
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
136 |
\bibitem{paulson-ns} |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
137 |
Lawrence~C. Paulson. |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
138 |
\newblock Mechanized proofs of security protocols: {Needham-Schroeder} with |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
139 |
public keys. |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
140 |
\newblock Technical Report 413, Computer Laboratory, University of Cambridge, |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
141 |
January 1997. |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
142 |
|
1682 | 143 |
\bibitem{paulson-coind} |
144 |
Lawrence~C. Paulson. |
|
145 |
\newblock Mechanizing coinduction and corecursion in higher-order logic. |
|
2933
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
146 |
\newblock {\em Journal of Logic and Computation}, 7(2):175--204, March 1997. |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
147 |
|
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
148 |
\bibitem{paulson-security} |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
149 |
Lawrence~C. Paulson. |
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
150 |
\newblock Proving properties of security protocols by induction. |
3488 | 151 |
\newblock In {\em 10th Computer Security Foundations Workshop}, pages 70--83. |
152 |
IEEE Computer Society Press, 1997. |
|
1682 | 153 |
|
6072 | 154 |
\bibitem{isabelle-ZF} |
155 |
Lawrence~C. Paulson. |
|
156 |
\newblock {Isabelle}'s logics: {FOL} and {ZF}. |
|
157 |
\newblock Technical report, Computer Laboratory, University of Cambridge, 1999. |
|
158 |
||
878 | 159 |
\bibitem{paulson-COLOG} |
160 |
Lawrence~C. Paulson. |
|
161 |
\newblock A formulation of the simple theory of types (for {Isabelle}). |
|
162 |
\newblock In P.~Martin-L\"of and G.~Mints, editors, {\em COLOG-88: |
|
1399 | 163 |
International Conference on Computer Logic}, LNCS 417, pages 246--274, |
164 |
Tallinn, Published 1990. Estonian Academy of Sciences, Springer. |
|
165 |
||
104 | 166 |
\bibitem{pelletier86} |
167 |
F.~J. Pelletier. |
|
168 |
\newblock Seventy-five problems for testing automatic theorem provers. |
|
598 | 169 |
\newblock {\em Journal of Automated Reasoning}, 2:191--216, 1986. |
2933
f842a75d9624
Updated discussion and references for inductive definitions
paulson
parents:
2495
diff
changeset
|
170 |
\newblock Errata, JAR 4 (1988), 235--236 and JAR 18 (1997), 135. |
104 | 171 |
|
172 |
\bibitem{plaisted90} |
|
173 |
David~A. Plaisted. |
|
174 |
\newblock A sequent-style model elimination strategy and a positive refinement. |
|
598 | 175 |
\newblock {\em Journal of Automated Reasoning}, 6(4):389--402, 1990. |
104 | 176 |
|
3488 | 177 |
\bibitem{slind-tfl} |
178 |
Konrad Slind. |
|
179 |
\newblock Function definition in higher-order logic. |
|
180 |
\newblock In von Wright et~al. \cite{tphols96}. |
|
181 |
||
104 | 182 |
\bibitem{takeuti87} |
183 |
G.~Takeuti. |
|
184 |
\newblock {\em Proof Theory}. |
|
878 | 185 |
\newblock North-Holland, 2nd edition, 1987. |
104 | 186 |
|
187 |
\bibitem{thompson91} |
|
188 |
Simon Thompson. |
|
189 |
\newblock {\em Type Theory and Functional Programming}. |
|
190 |
\newblock Addison-Wesley, 1991. |
|
191 |
||
3488 | 192 |
\bibitem{tphols96} |
193 |
J.~von Wright, J.~Grundy, and J.~Harrison, editors. |
|
194 |
\newblock {\em Theorem Proving in Higher Order Logics: {TPHOLs} '96}, LNCS |
|
195 |
1125, 1996. |
|
196 |
||
598 | 197 |
\bibitem{winskel93} |
198 |
Glynn Winskel. |
|
199 |
\newblock {\em The Formal Semantics of Programming Languages}. |
|
200 |
\newblock MIT Press, 1993. |
|
201 |
||
104 | 202 |
\end{thebibliography} |