27 \subitem discharge of, 7 |
27 \subitem discharge of, 7 |
28 \subitem lifting over, 14 |
28 \subitem lifting over, 14 |
29 \subitem of main goal, 41 |
29 \subitem of main goal, 41 |
30 \subitem use of, 16, 28 |
30 \subitem use of, 16, 28 |
31 \item axioms |
31 \item axioms |
32 \subitem Peano, 54 |
32 \subitem Peano, 55 |
33 |
33 |
34 \indexspace |
34 \indexspace |
35 |
35 |
36 \item {\tt ba}, 31 |
36 \item {\tt ba}, 31 |
37 \item {\tt back}, 59, 62 |
37 \item {\tt back}, 59, 63 |
38 \item backtracking |
38 \item backtracking |
39 \subitem Prolog style, 62 |
39 \subitem Prolog style, 62 |
40 \item {\tt bd}, 31 |
40 \item {\tt bd}, 31 |
41 \item {\tt be}, 31 |
41 \item {\tt be}, 31 |
42 \item {\tt Blast_tac}, 39 |
42 \item {\tt Blast_tac}, 39 |
43 \item {\tt br}, 31 |
43 \item {\tt br}, 31 |
44 \item {\tt by}, 30 |
44 \item {\tt by}, 30 |
45 |
45 |
46 \indexspace |
46 \indexspace |
47 |
47 |
48 \item {\tt choplev}, 37, 64 |
48 \item {\tt choplev}, 37, 65 |
49 \item classes, 3 |
49 \item classes, 3 |
50 \subitem built-in, \bold{25} |
50 \subitem built-in, \bold{25} |
51 \item classical reasoner, 39 |
51 \item classical reasoner, 39 |
52 \item {\tt conjunct1} theorem, 28 |
52 \item {\tt conjunct1} theorem, 28 |
53 \item constants, 3 |
53 \item constants, 3 |
54 \subitem clashes with variables, 9 |
54 \subitem clashes with variables, 9 |
55 \subitem declaring, \bold{48} |
55 \subitem declaring, \bold{48} |
56 \subitem overloaded, 53 |
56 \subitem overloaded, 54 |
57 \subitem polymorphic, 3 |
57 \subitem polymorphic, 3 |
58 \item {\tt CPure} theory, 47 |
58 \item {\tt CPure} theory, 47 |
59 |
59 |
60 \indexspace |
60 \indexspace |
61 |
61 |
76 \item {\tt eres_inst_tac}, 57 |
76 \item {\tt eres_inst_tac}, 57 |
77 \item {\tt eresolve_tac}, 30, 32, 33, 39, 47 |
77 \item {\tt eresolve_tac}, 30, 32, 33, 39, 47 |
78 \item examples |
78 \item examples |
79 \subitem of deriving rules, 41 |
79 \subitem of deriving rules, 41 |
80 \subitem of induction, 57, 58 |
80 \subitem of induction, 57, 58 |
81 \subitem of simplification, 59 |
81 \subitem of simplification, 60 |
82 \subitem of tacticals, 37 |
82 \subitem of tacticals, 37 |
83 \subitem of theories, 48, 50--55, 61 |
83 \subitem of theories, 48, 50--54, 56, 61 |
84 \subitem propositional, 17, 31, 32 |
84 \subitem propositional, 17, 31, 32 |
85 \subitem with quantifiers, 18, 34, 35, 38 |
85 \subitem with quantifiers, 18, 34, 35, 38 |
86 \item {\tt exE} theorem, 38 |
86 \item {\tt exE} theorem, 38 |
87 |
87 |
88 \indexspace |
88 \indexspace |
141 \item {\tt ML} section, 47 |
141 \item {\tt ML} section, 47 |
142 \item {\tt mp} theorem, 27, 28 |
142 \item {\tt mp} theorem, 27, 28 |
143 |
143 |
144 \indexspace |
144 \indexspace |
145 |
145 |
146 \item {\tt Nat} theory, 55 |
146 \item {\tt Nat} theory, 56 |
147 \item {\tt nat} type, 3 |
147 \item {\tt nat} type, 3 |
148 \item {\tt not_def} theorem, 44 |
148 \item {\tt not_def} theorem, 44 |
149 \item {\tt notE} theorem, \bold{45}, 57 |
149 \item {\tt notE} theorem, \bold{45}, 58 |
150 \item {\tt notI} theorem, \bold{44}, 57 |
150 \item {\tt notI} theorem, \bold{44}, 58 |
151 |
151 |
152 \indexspace |
152 \indexspace |
153 |
153 |
154 \item {\tt o} type, 3, 4 |
154 \item {\tt o} type, 3, 4 |
155 \item {\tt ORELSE}, 38 |
155 \item {\tt ORELSE}, 38 |
158 \indexspace |
158 \indexspace |
159 |
159 |
160 \item parameters, \bold{8}, 34 |
160 \item parameters, \bold{8}, 34 |
161 \subitem lifting over, 15 |
161 \subitem lifting over, 15 |
162 \item {\tt Prolog} theory, 61 |
162 \item {\tt Prolog} theory, 61 |
163 \item Prolog interpreter, \bold{60} |
163 \item Prolog interpreter, \bold{61} |
164 \item proof state, 16 |
164 \item proof state, 16 |
165 \item proofs |
165 \item proofs |
166 \subitem commands for, 30 |
166 \subitem commands for, 30 |
167 \item {\tt PROP} symbol, 26 |
167 \item {\tt PROP} symbol, 26 |
168 \item {\tt prop} type, 6, 25, 26 |
168 \item {\tt prop} type, 6, 25, 26 |
179 \indexspace |
179 \indexspace |
180 |
180 |
181 \item {\tt read_instantiate}, 29 |
181 \item {\tt read_instantiate}, 29 |
182 \item {\tt refl} theorem, 29 |
182 \item {\tt refl} theorem, 29 |
183 \item {\tt REPEAT}, 33, 38, 62, 64 |
183 \item {\tt REPEAT}, 33, 38, 62, 64 |
184 \item {\tt res_inst_tac}, 57, 59 |
184 \item {\tt res_inst_tac}, 57, 60 |
185 \item reserved words, 24 |
185 \item reserved words, 24 |
186 \item resolution, 10, \bold{12} |
186 \item resolution, 10, \bold{12} |
187 \subitem in backward proof, 15 |
187 \subitem in backward proof, 15 |
188 \subitem with instantiation, 57 |
188 \subitem with instantiation, 57 |
189 \item {\tt resolve_tac}, 30, 31, 46, 58 |
189 \item {\tt resolve_tac}, 30, 31, 46, 58 |
206 |
206 |
207 \item search |
207 \item search |
208 \subitem depth-first, 63 |
208 \subitem depth-first, 63 |
209 \item signatures, \bold{9} |
209 \item signatures, \bold{9} |
210 \item {\tt Simp_tac}, 60 |
210 \item {\tt Simp_tac}, 60 |
211 \item simplification, 59 |
211 \item simplification, 60 |
212 \item simplification sets, 59 |
212 \item simplification sets, 60 |
213 \item sort constraints, 25 |
213 \item sort constraints, 25 |
214 \item sorts, \bold{5} |
214 \item sorts, \bold{5} |
215 \item {\tt spec} theorem, 28, 36, 37 |
215 \item {\tt spec} theorem, 28, 36, 37 |
216 \item {\tt standard}, 27 |
216 \item {\tt standard}, 27 |
217 \item substitution, \bold{8} |
217 \item substitution, \bold{8} |
231 \subitem syntax of, 1, \bold{25} |
231 \subitem syntax of, 1, \bold{25} |
232 \item theorems |
232 \item theorems |
233 \subitem basic operations on, \bold{27} |
233 \subitem basic operations on, \bold{27} |
234 \subitem printing of, 27 |
234 \subitem printing of, 27 |
235 \item theories, \bold{9} |
235 \item theories, \bold{9} |
236 \subitem defining, 47--56 |
236 \subitem defining, 47--57 |
237 \item {\tt thm} ML type, 27 |
237 \item {\tt thm} ML type, 27 |
238 \item {\tt topthm}, 42 |
238 \item {\tt topthm}, 42 |
239 \item {\tt Trueprop} constant, 6, 7, 25 |
239 \item {\tt Trueprop} constant, 6, 7, 25 |
240 \item type constraints, 25 |
240 \item type constraints, 25 |
241 \item type constructors, 1 |
241 \item type constructors, 1 |