18 \indexspace |
18 \indexspace |
19 |
19 |
20 \item {\ptt allI} theorem, 35 |
20 \item {\ptt allI} theorem, 35 |
21 \item arities |
21 \item arities |
22 \subitem declaring, 4, \bold{47} |
22 \subitem declaring, 4, \bold{47} |
23 \item {\ptt asm_simp_tac}, 56 |
23 \item {\ptt asm_simp_tac}, 57 |
24 \item {\ptt assume_tac}, 28, 30, 35, 44 |
24 \item {\ptt assume_tac}, 28, 30, 35, 44 |
25 \item assumptions |
25 \item assumptions |
26 \subitem deleting, 19 |
26 \subitem deleting, 19 |
27 \subitem discharge of, 7 |
27 \subitem discharge of, 7 |
28 \subitem lifting over, 13 |
28 \subitem lifting over, 13 |
29 \subitem of main goal, 39 |
29 \subitem of main goal, 39 |
30 \subitem use of, 16, 27 |
30 \subitem use of, 16, 27 |
31 \item axioms |
31 \item axioms |
32 \subitem Peano, 51 |
32 \subitem Peano, 52 |
33 |
33 |
34 \indexspace |
34 \indexspace |
35 |
35 |
36 \item {\ptt ba}, 29 |
36 \item {\ptt ba}, 29 |
37 \item {\ptt back}, 55, 59 |
37 \item {\ptt back}, 55, 56, 59 |
38 \item backtracking |
38 \item backtracking |
39 \subitem Prolog style, 58 |
39 \subitem Prolog style, 59 |
40 \item {\ptt bd}, 29 |
40 \item {\ptt bd}, 29 |
41 \item {\ptt be}, 29 |
41 \item {\ptt be}, 29 |
42 \item {\ptt br}, 29 |
42 \item {\ptt br}, 29 |
43 \item {\ptt by}, 29 |
43 \item {\ptt by}, 29 |
44 |
44 |
45 \indexspace |
45 \indexspace |
46 |
46 |
47 \item {\ptt choplev}, 34, 35, 60 |
47 \item {\ptt choplev}, 34, 35, 61 |
48 \item classes, 3 |
48 \item classes, 3 |
49 \subitem built-in, \bold{24} |
49 \subitem built-in, \bold{24} |
50 \item classical reasoner, 37 |
50 \item classical reasoner, 37 |
51 \item {\ptt conjunct1} theorem, 26 |
51 \item {\ptt conjunct1} theorem, 26 |
52 \item constants, 1 |
52 \item constants, 1 |
53 \subitem clashes with variables, 9 |
53 \subitem clashes with variables, 9 |
54 \subitem declaring, \bold{46} |
54 \subitem declaring, \bold{46} |
55 \subitem overloaded, 50 |
55 \subitem overloaded, 51 |
56 \subitem polymorphic, 3 |
56 \subitem polymorphic, 3 |
57 |
57 |
58 \indexspace |
58 \indexspace |
59 |
59 |
60 \item definitions, 5, \bold{46} |
60 \item definitions, 5, \bold{46} |
76 \item examples |
76 \item examples |
77 \subitem of deriving rules, 39 |
77 \subitem of deriving rules, 39 |
78 \subitem of induction, 54, 55 |
78 \subitem of induction, 54, 55 |
79 \subitem of simplification, 56 |
79 \subitem of simplification, 56 |
80 \subitem of tacticals, 35 |
80 \subitem of tacticals, 35 |
81 \subitem of theories, 46--52, 57 |
81 \subitem of theories, 46, 48--53, 58 |
82 \subitem propositional, 16, 29, 31 |
82 \subitem propositional, 16, 29, 31 |
83 \subitem with quantifiers, 17, 32, 33, 36 |
83 \subitem with quantifiers, 17, 32, 33, 36 |
84 \item {\ptt exE} theorem, 36 |
84 \item {\ptt exE} theorem, 36 |
85 |
85 |
86 \indexspace |
86 \indexspace |
99 \item {\ptt goal}, 29, 39, 44 |
99 \item {\ptt goal}, 29, 39, 44 |
100 \item {\ptt goalw}, 42--44 |
100 \item {\ptt goalw}, 42--44 |
101 |
101 |
102 \indexspace |
102 \indexspace |
103 |
103 |
104 \item {\ptt has_fewer_prems}, 60 |
104 \item {\ptt has_fewer_prems}, 61 |
105 \item higher-order logic, 4 |
105 \item higher-order logic, 4 |
106 |
106 |
107 \indexspace |
107 \indexspace |
108 |
108 |
109 \item identifiers, 23 |
109 \item identifiers, 23 |
110 \item {\ptt impI} theorem, 30, 42 |
110 \item {\ptt impI} theorem, 30, 42 |
111 \item infixes, 49 |
111 \item infixes, 49 |
112 \item instantiation, 53--57 |
112 \item instantiation, 54--57 |
113 \item Isabelle |
113 \item Isabelle |
114 \subitem object-logics supported, i |
114 \subitem object-logics supported, i |
115 \subitem overview, i |
115 \subitem overview, i |
116 \subitem release history, i |
116 \subitem release history, i |
117 |
117 |
133 \subitem syntax of, 21 |
133 \subitem syntax of, 21 |
134 \item meta-equality, \bold{5}, 24 |
134 \item meta-equality, \bold{5}, 24 |
135 \item meta-implication, \bold{5}, 6, 24 |
135 \item meta-implication, \bold{5}, 6, 24 |
136 \item meta-quantifiers, \bold{5}, 7, 24 |
136 \item meta-quantifiers, \bold{5}, 7, 24 |
137 \item meta-rewriting, 41 |
137 \item meta-rewriting, 41 |
138 \item mixfix declarations, 49, 50, 52 |
138 \item mixfix declarations, 49, 50, 53 |
139 \item ML, i |
139 \item ML, i |
140 \item {\ptt ML} section, 45 |
140 \item {\ptt ML} section, 45 |
141 \item {\ptt mp} theorem, 26 |
141 \item {\ptt mp} theorem, 26 |
142 |
142 |
143 \indexspace |
143 \indexspace |
144 |
144 |
145 \item {\ptt Nat} theory, 52 |
145 \item {\ptt Nat} theory, 53 |
146 \item {\ptt nat} type, 1, 3 |
146 \item {\ptt nat} type, 1, 3 |
147 \item {\ptt not_def} theorem, 42 |
147 \item {\ptt not_def} theorem, 42 |
148 \item {\ptt notE} theorem, \bold{43}, 54 |
148 \item {\ptt notE} theorem, \bold{43}, 55 |
149 \item {\ptt notI} theorem, \bold{42}, 54 |
149 \item {\ptt notI} theorem, \bold{42}, 55 |
150 |
150 |
151 \indexspace |
151 \indexspace |
152 |
152 |
153 \item {\ptt o} type, 1, 4 |
153 \item {\ptt o} type, 1, 4 |
154 \item {\ptt ORELSE}, 35 |
154 \item {\ptt ORELSE}, 35 |
155 \item overloading, \bold{4}, 50 |
155 \item overloading, \bold{4}, 51 |
156 |
156 |
157 \indexspace |
157 \indexspace |
158 |
158 |
159 \item parameters, \bold{7}, 32 |
159 \item parameters, \bold{7}, 32 |
160 \subitem lifting over, 14 |
160 \subitem lifting over, 14 |
161 \item {\ptt Prolog} theory, 57 |
161 \item {\ptt Prolog} theory, 58 |
162 \item Prolog interpreter, \bold{57} |
162 \item Prolog interpreter, \bold{57} |
163 \item proof state, 15 |
163 \item proof state, 15 |
164 \item proofs |
164 \item proofs |
165 \subitem commands for, 29 |
165 \subitem commands for, 29 |
166 \item {\ptt PROP} symbol, 25 |
166 \item {\ptt PROP} symbol, 25 |
176 |
176 |
177 \indexspace |
177 \indexspace |
178 |
178 |
179 \item {\ptt read_instantiate}, 28 |
179 \item {\ptt read_instantiate}, 28 |
180 \item {\ptt refl} theorem, 28 |
180 \item {\ptt refl} theorem, 28 |
181 \item {\ptt REPEAT}, 31, 36, 58, 60 |
181 \item {\ptt REPEAT}, 31, 36, 59, 60 |
182 \item {\ptt res_inst_tac}, 53, 56 |
182 \item {\ptt res_inst_tac}, 54, 56 |
183 \item reserved words, 23 |
183 \item reserved words, 23 |
184 \item resolution, 10, \bold{11} |
184 \item resolution, 10, \bold{11} |
185 \subitem in backward proof, 15 |
185 \subitem in backward proof, 15 |
186 \subitem with instantiation, 53 |
186 \subitem with instantiation, 54 |
187 \item {\ptt resolve_tac}, 28, 30, 43, 55 |
187 \item {\ptt resolve_tac}, 28, 30, 43, 55 |
188 \item {\ptt result}, 29, 40, 44 |
188 \item {\ptt result}, 29, 40, 44 |
189 \item {\ptt rewrite_goals_tac}, 42 |
189 \item {\ptt rewrite_goals_tac}, 42 |
190 \item {\ptt rewrite_rule}, 43 |
190 \item {\ptt rewrite_rule}, 43 |
191 \item {\ptt RL}, 27, 28 |
191 \item {\ptt RL}, 27, 28 |
201 \subitem quantifier, 7 |
201 \subitem quantifier, 7 |
202 |
202 |
203 \indexspace |
203 \indexspace |
204 |
204 |
205 \item search |
205 \item search |
206 \subitem depth-first, 59 |
206 \subitem depth-first, 60 |
207 \item signatures, \bold{8} |
207 \item signatures, \bold{8} |
208 \item {\ptt simp_tac}, 56 |
208 \item {\ptt simp_tac}, 57 |
209 \item simplification, 56 |
209 \item simplification, 56 |
210 \item simplification sets, 56 |
210 \item simplification sets, 56 |
211 \item sort constraints, 24 |
211 \item sort constraints, 24 |
212 \item sorts, \bold{4} |
212 \item sorts, \bold{4} |
213 \item {\ptt spec} theorem, 26, 34, 35 |
213 \item {\ptt spec} theorem, 26, 34, 35 |
214 \item {\ptt standard}, 26 |
214 \item {\ptt standard}, 26 |
215 \item substitution, \bold{7} |
215 \item substitution, \bold{7} |
216 \item {\ptt Suc_inject}, 54 |
216 \item {\ptt Suc_inject}, 55 |
217 \item {\ptt Suc_neq_0}, 54 |
217 \item {\ptt Suc_neq_0}, 55 |
218 \item syntax |
218 \item syntax |
219 \subitem of types and terms, 24 |
219 \subitem of types and terms, 24 |
220 |
220 |
221 \indexspace |
221 \indexspace |
222 |
222 |
229 \subitem syntax of, 1, \bold{24} |
229 \subitem syntax of, 1, \bold{24} |
230 \item theorems |
230 \item theorems |
231 \subitem basic operations on, \bold{25} |
231 \subitem basic operations on, \bold{25} |
232 \subitem printing of, 25 |
232 \subitem printing of, 25 |
233 \item theories, \bold{8} |
233 \item theories, \bold{8} |
234 \subitem defining, 44--53 |
234 \subitem defining, 44--54 |
235 \item {\ptt thm} ML type, 25 |
235 \item {\ptt thm} ML type, 25 |
236 \item {\ptt topthm}, 40 |
236 \item {\ptt topthm}, 40 |
237 \item {\ptt Trueprop} constant, 6, 24 |
237 \item {\ptt Trueprop} constant, 6, 24 |
238 \item type constraints, 24 |
238 \item type constraints, 24 |
239 \item type constructors, 1 |
239 \item type constructors, 1 |
240 \item type identifiers, 23 |
240 \item type identifiers, 23 |
241 \item type synonyms, \bold{48} |
241 \item type synonyms, \bold{49} |
242 \item types |
242 \item types |
243 \subitem declaring, \bold{47} |
243 \subitem declaring, \bold{47} |
244 \subitem function, 1 |
244 \subitem function, 1 |
245 \subitem higher, \bold{5} |
245 \subitem higher, \bold{5} |
246 \subitem polymorphic, \bold{3} |
246 \subitem polymorphic, \bold{3} |