# HG changeset patch # User nipkow # Date 1011268711 -3600 # Node ID 8108791e29060bb64817180bd5b55863874d5594 # Parent 459b5de466b220a62ec2de4adab3150d4d0cba12 *** empty log message *** diff -r 459b5de466b2 -r 8108791e2906 doc-src/TutorialI/tutorial.ind --- a/doc-src/TutorialI/tutorial.ind Thu Jan 17 12:45:52 2002 +0100 +++ b/doc-src/TutorialI/tutorial.ind Thu Jan 17 12:58:31 2002 +0100 @@ -10,7 +10,7 @@ \item \ttor, \bold{209} \item \texttt{[]}, \bold{9} \item \texttt{\#}, \bold{9} - \item \texttt{\at}, \bold{10}, \hyperpage{209} + \item \texttt{\at}, \bold{10}, 209 \item \isasymnotin, \bold{209} \item \verb$~:$, \bold{209} \item \isasymInter, \bold{209} @@ -26,110 +26,109 @@ \item \ttrbr, \bold{209} \item \texttt {\%}, \bold{209} \item \texttt {;}, \bold{7} - \item \isa {()} (constant), \hyperpage{24} - \item \isa {+} (tactical), \hyperpage{99} + \item \isa {()} (constant), 24 + \item \isa {+} (tactical), 99 \item \isa {<*lex*>}, \see{lexicographic product}{1} - \item \isa {?} (tactical), \hyperpage{99} - \item \texttt{|} (tactical), \hyperpage{99} + \item \isa {?} (tactical), 99 + \item \texttt{|} (tactical), 99 \indexspace - \item \isa {0} (constant), \hyperpage{22, 23}, \hyperpage{150} - \item \isa {1} (constant), \hyperpage{23}, \hyperpage{150, 151} + \item \isa {0} (constant), 22, 23, 150 + \item \isa {1} (constant), 23, 150, 151 \indexspace \item abandoning a proof, \bold{13} \item abandoning a theory, \bold{16} - \item \isa {abs} (constant), \hyperpage{153} + \item \isa {abs} (constant), 153 \item \texttt {abs}, \bold{209} - \item absolute value, \hyperpage{153} - \item \isa {add} (modifier), \hyperpage{29} - \item \isa {add_ac} (theorems), \hyperpage{152} + \item absolute value, 153 + \item \isa {add} (modifier), 29 + \item \isa {add_ac} (theorems), 152 \item \isa {add_assoc} (theorem), \bold{152} \item \isa {add_commute} (theorem), \bold{152} \item \isa {add_mult_distrib} (theorem), \bold{151} \item \texttt {ALL}, \bold{209} - \item \isa {All} (constant), \hyperpage{109} + \item \isa {All} (constant), 109 \item \isa {allE} (theorem), \bold{81} \item \isa {allI} (theorem), \bold{80} \item antiquotation, \bold{61} \item append function, 10--14 - \item \isacommand {apply} (command), \hyperpage{15} + \item \isacommand {apply} (command), 15 \item \isa {arg_cong} (theorem), \bold{96} - \item \isa {arith} (method), \hyperpage{23}, \hyperpage{149} + \item \isa {arith} (method), 23, 149 \item arithmetic operations - \subitem for \protect\isa{nat}, \hyperpage{23} + \subitem for \protect\isa{nat}, 23 \item \textsc {ascii} symbols, \bold{209} - \item Aspinall, David, \hyperpage{viii} - \item associative-commutative function, \hyperpage{176} - \item \isa {assumption} (method), \hyperpage{69} + \item Aspinall, David, viii + \item associative-commutative function, 176 + \item \isa {assumption} (method), 69 \item assumptions - \subitem of subgoal, \hyperpage{12} + \subitem of subgoal, 12 \subitem renaming, 82--83 \subitem reusing, 83 - \item \isa {auto} (method), \hyperpage{38}, \hyperpage{92} + \item \isa {auto} (method), 38, 92 \item \isa {axclass}, 164--170 - \item axiom of choice, \hyperpage{86} + \item axiom of choice, 86 \item axiomatic type classes, 164--170 \indexspace - \item \isacommand {back} (command), \hyperpage{78} - \item \isa {Ball} (constant), \hyperpage{109} + \item \isacommand {back} (command), 78 + \item \isa {Ball} (constant), 109 \item \isa {ballI} (theorem), \bold{108} - \item \isa {best} (method), \hyperpage{92} - \item \isa {Bex} (constant), \hyperpage{109} + \item \isa {best} (method), 92 + \item \isa {Bex} (constant), 109 \item \isa {bexE} (theorem), \bold{108} \item \isa {bexI} (theorem), \bold{108} \item \isa {bij_def} (theorem), \bold{110} - \item bijections, \hyperpage{110} - \item binary trees, \hyperpage{18} - \item binomial coefficients, \hyperpage{109} - \item bisimulations, \hyperpage{116} - \item \isa {blast} (method), 89--90, \hyperpage{92} - \item \isa {bool} (type), \hyperpage{4, 5} + \item bijections, 110 + \item binary trees, 18 + \item binomial coefficients, 109 + \item bisimulations, 116 + \item \isa {blast} (method), 89--90, 92 + \item \isa {bool} (type), 4, 5 \item boolean expressions example, 20--22 \item \isa {bspec} (theorem), \bold{108} \item \isacommand{by} (command), 73 \indexspace - \item \isa {card} (constant), \hyperpage{109} + \item \isa {card} (constant), 109 \item \isa {card_Pow} (theorem), \bold{109} \item \isa {card_Un_Int} (theorem), \bold{109} - \item cardinality, \hyperpage{109} - \item \isa {case} (symbol), \hyperpage{32, 33} - \item \isa {case} expressions, \hyperpage{5, 6}, \hyperpage{18} - \item case distinctions, \hyperpage{19} + \item cardinality, 109 + \item \isa {case} (symbol), 32, 33 + \item \isa {case} expressions, 5, 6, 18 + \item case distinctions, 19 \item case splits, \bold{31} - \item \isa {case_tac} (method), \hyperpage{19}, \hyperpage{101}, - \hyperpage{157} - \item \isa {cases} (method), \hyperpage{162} - \item \isacommand {chapter} (command), \hyperpage{59} - \item \isa {clarify} (method), \hyperpage{91, 92} - \item \isa {clarsimp} (method), \hyperpage{91, 92} + \item \isa {case_tac} (method), 19, 101, 157 + \item \isa {cases} (method), 162 + \item \isacommand {chapter} (command), 59 + \item \isa {clarify} (method), 91, 92 + \item \isa {clarsimp} (method), 91, 92 \item \isa {classical} (theorem), \bold{73} \item coinduction, \bold{116} - \item \isa {Collect} (constant), \hyperpage{109} + \item \isa {Collect} (constant), 109 \item compiling expressions example, 36--38 \item \isa {Compl_iff} (theorem), \bold{106} \item complement - \subitem of a set, \hyperpage{105} + \subitem of a set, 105 \item composition \subitem of functions, \bold{110} \subitem of relations, \bold{112} \item conclusion - \subitem of subgoal, \hyperpage{12} + \subitem of subgoal, 12 \item conditional expressions, \see{\isa{if} expressions}{1} - \item conditional simplification rules, \hyperpage{31} - \item \isa {cong} (attribute), \hyperpage{176} + \item conditional simplification rules, 31 + \item \isa {cong} (attribute), 176 \item congruence rules, \bold{175} \item \isa {conjE} (theorem), \bold{71} \item \isa {conjI} (theorem), \bold{68} - \item \isa {Cons} (constant), \hyperpage{9} - \item \isacommand {constdefs} (command), \hyperpage{25} - \item \isacommand {consts} (command), \hyperpage{10} + \item \isa {Cons} (constant), 9 + \item \isacommand {constdefs} (command), 25 + \item \isacommand {consts} (command), 10 \item contrapositives, 73 \item converse \subitem of a relation, \bold{112} @@ -138,118 +137,117 @@ \indexspace - \item \isacommand {datatype} (command), \hyperpage{9}, 38--43 + \item \isacommand {datatype} (command), 9, 38--43 \item datatypes, 17--22 - \subitem and nested recursion, \hyperpage{40}, \hyperpage{44} - \subitem mutually recursive, \hyperpage{38} - \subitem nested, \hyperpage{180} - \item \isacommand {defer} (command), \hyperpage{16}, \hyperpage{100} - \item Definitional Approach, \hyperpage{26} + \subitem and nested recursion, 40, 44 + \subitem mutually recursive, 38 + \subitem nested, 180 + \item \isacommand {defer} (command), 16, 100 + \item Definitional Approach, 26 \item definitions, \bold{25} \subitem unfolding, \bold{30} - \item \isacommand {defs} (command), \hyperpage{25} - \item \isa {del} (modifier), \hyperpage{29} + \item \isacommand {defs} (command), 25 + \item \isa {del} (modifier), 29 \item description operators, 85--87 \item descriptions - \subitem definite, \hyperpage{85} - \subitem indefinite, \hyperpage{86} - \item \isa {dest} (attribute), \hyperpage{102} + \subitem definite, 85 + \subitem indefinite, 86 + \item \isa {dest} (attribute), 102 \item destruction rules, 71 \item \isa {diff_mult_distrib} (theorem), \bold{151} \item difference \subitem of sets, \bold{106} \item \isa {disjCI} (theorem), \bold{74} \item \isa {disjE} (theorem), \bold{70} - \item \isa {div} (symbol), \hyperpage{23} - \item divides relation, \hyperpage{84}, \hyperpage{95}, 101--104, - \hyperpage{152} + \item \isa {div} (symbol), 23 + \item divides relation, 84, 95, 101--104, 152 \item division - \subitem by negative numbers, \hyperpage{153} - \subitem by zero, \hyperpage{152} - \subitem for type \protect\isa{nat}, \hyperpage{151} + \subitem by negative numbers, 153 + \subitem by zero, 152 + \subitem for type \protect\isa{nat}, 151 \item documents, \bold{57} \item domain - \subitem of a relation, \hyperpage{112} + \subitem of a relation, 112 \item \isa {Domain_iff} (theorem), \bold{112} - \item \isacommand {done} (command), \hyperpage{13} - \item \isa {drule_tac} (method), \hyperpage{76}, \hyperpage{96} + \item \isacommand {done} (command), 13 + \item \isa {drule_tac} (method), 76, 96 \item \isa {dvd_add} (theorem), \bold{152} \item \isa {dvd_anti_sym} (theorem), \bold{152} \item \isa {dvd_def} (theorem), \bold{152} \indexspace - \item \isa {elim!} (attribute), \hyperpage{131} + \item \isa {elim!} (attribute), 131 \item elimination rules, 69--70 - \item \isacommand {end} (command), \hyperpage{14} - \item \isa {Eps} (constant), \hyperpage{109} - \item equality, \hyperpage{5} + \item \isacommand {end} (command), 14 + \item \isa {Eps} (constant), 109 + \item equality, 5 \subitem of functions, \bold{109} - \subitem of records, \hyperpage{161} + \subitem of records, 161 \subitem of sets, \bold{106} \item \isa {equalityE} (theorem), \bold{106} \item \isa {equalityI} (theorem), \bold{106} - \item \isa {erule} (method), \hyperpage{70} - \item \isa {erule_tac} (method), \hyperpage{76} + \item \isa {erule} (method), 70 + \item \isa {erule_tac} (method), 76 \item Euclid's algorithm, 101--104 \item even numbers \subitem defining inductively, 127--131 \item \texttt {EX}, \bold{209} - \item \isa {Ex} (constant), \hyperpage{109} + \item \isa {Ex} (constant), 109 \item \isa {exE} (theorem), \bold{82} \item \isa {exI} (theorem), \bold{82} \item \isa {ext} (theorem), \bold{109} - \item \isa {extend} (constant), \hyperpage{163} + \item \isa {extend} (constant), 163 \item extensionality \subitem for functions, \bold{109, 110} - \subitem for records, \hyperpage{162} + \subitem for records, 162 \subitem for sets, \bold{106} \item \ttEXU, \bold{209} \indexspace - \item \isa {False} (constant), \hyperpage{5} - \item \isa {fast} (method), \hyperpage{92}, \hyperpage{124} - \item Fibonacci function, \hyperpage{47} - \item \isa {fields} (constant), \hyperpage{163} - \item \isa {finite} (symbol), \hyperpage{109} - \item \isa {Finites} (constant), \hyperpage{109} + \item \isa {False} (constant), 5 + \item \isa {fast} (method), 92, 124 + \item Fibonacci function, 47 + \item \isa {fields} (constant), 163 + \item \isa {finite} (symbol), 109 + \item \isa {Finites} (constant), 109 \item fixed points, 116 - \item flags, \hyperpage{5, 6}, \hyperpage{33} - \subitem setting and resetting, \hyperpage{5} - \item \isa {force} (method), \hyperpage{91, 92} - \item formal comments, \bold{60} + \item flags, 5, 6, 33 + \subitem setting and resetting, 5 + \item \isa {force} (method), 91, 92 + \item formal comments, \bold{61} \item formal proof documents, \bold{57} \item formulae, 5--6 \item forward proof, 92--98 \item \isa {frule} (method), 83 - \item \isa {frule_tac} (method), \hyperpage{76} - \item \isa {fst} (constant), \hyperpage{24} - \item function types, \hyperpage{5} + \item \isa {frule_tac} (method), 76 + \item \isa {fst} (constant), 24 + \item function types, 5 \item functions, 109--111 - \subitem partial, \hyperpage{182} - \subitem total, \hyperpage{11}, 47--52 - \subitem underdefined, \hyperpage{183} + \subitem partial, 182 + \subitem total, 11, 46--52 + \subitem underdefined, 183 \indexspace \item \isa {gcd} (constant), 93--94, 101--104 - \item generalizing for induction, \hyperpage{129} - \item generalizing induction formulae, \hyperpage{35} + \item generalizing for induction, 129 + \item generalizing induction formulae, 35 \item Girard, Jean-Yves, \fnote{71} - \item Gordon, Mike, \hyperpage{3} + \item Gordon, Mike, 3 \item grammars \subitem defining inductively, 140--145 \item ground terms example, 135--140 \indexspace - \item \isa {hd} (constant), \hyperpage{17}, \hyperpage{37} - \item \isacommand {header} (command), \hyperpage{59} - \item Hilbert's $\varepsilon$-operator, \hyperpage{86} - \item HOLCF, \hyperpage{43} - \item Hopcroft, J. E., \hyperpage{145} - \item \isa {hypreal} (type), \hyperpage{155} + \item \isa {hd} (constant), 17, 37 + \item \isacommand {header} (command), 59 + \item Hilbert's $\varepsilon$-operator, 86 + \item HOLCF, 43 + \item Hopcroft, J. E., 145 + \item \isa {hypreal} (type), 155 \indexspace @@ -259,12 +257,11 @@ \subitem qualified, \bold{4} \item identity function, \bold{110} \item identity relation, \bold{112} - \item \isa {if} expressions, \hyperpage{5, 6} - \subitem simplification of, \hyperpage{33} - \subitem splitting of, \hyperpage{31}, \hyperpage{49} - \item if-and-only-if, \hyperpage{6} - \item \isa {iff} (attribute), \hyperpage{90}, \hyperpage{102}, - \hyperpage{130} + \item \isa {if} expressions, 5, 6 + \subitem simplification of, 33 + \subitem splitting of, 31, 49 + \item if-and-only-if, 6 + \item \isa {iff} (attribute), 90, 102, 130 \item \isa {iffD1} (theorem), \bold{94} \item \isa {iffD2} (theorem), \bold{94} \item ignored material, \bold{64} @@ -275,30 +272,28 @@ \item \isa {Image_iff} (theorem), \bold{112} \item \isa {impI} (theorem), \bold{72} \item implication, 72--73 - \item \isa {ind_cases} (method), \hyperpage{131} - \item \isa {induct_tac} (method), \hyperpage{12}, \hyperpage{19}, - \hyperpage{52}, \hyperpage{190} + \item \isa {ind_cases} (method), 131 + \item \isa {induct_tac} (method), 12, 19, 52, 190 \item induction, 186--193 - \subitem complete, \hyperpage{188} - \subitem deriving new schemas, \hyperpage{190} - \subitem on a term, \hyperpage{187} + \subitem complete, 188 + \subitem deriving new schemas, 190 + \subitem on a term, 187 \subitem recursion, 51--52 - \subitem structural, \hyperpage{19} + \subitem structural, 19 \subitem well-founded, 115 \item induction heuristics, 34--36 - \item \isacommand {inductive} (command), \hyperpage{127} + \item \isacommand {inductive} (command), 127 \item inductive definition - \subitem simultaneous, \hyperpage{141} + \subitem simultaneous, 141 \item inductive definitions, 127--145 - \item \isacommand {inductive\_cases} (command), \hyperpage{131}, - \hyperpage{139} - \item infinitely branching trees, \hyperpage{43} - \item infix annotations, \hyperpage{53} - \item \isacommand{infixr} (annotation), \hyperpage{10} + \item \isacommand {inductive\_cases} (command), 131, 139 + \item infinitely branching trees, 43 + \item infix annotations, 53 + \item \isacommand{infixr} (annotation), 10 \item \isa {inj_on_def} (theorem), \bold{110} - \item injections, \hyperpage{110} - \item \isa {insert} (constant), \hyperpage{107} - \item \isa {insert} (method), \hyperpage{97}, 97, \hyperpage{98} + \item injections, 110 + \item \isa {insert} (constant), 107 + \item \isa {insert} (method), 97--98 \item instance, \bold{166} \item \texttt {INT}, \bold{209} \item \texttt {Int}, \bold{209} @@ -307,142 +302,139 @@ \item \isa {IntD1} (theorem), \bold{105} \item \isa {IntD2} (theorem), \bold{105} \item integers, 153--154 - \item \isa {INTER} (constant), \hyperpage{109} + \item \isa {INTER} (constant), 109 \item \texttt {Inter}, \bold{209} \item \isa {Inter_iff} (theorem), \bold{108} - \item intersection, \hyperpage{105} - \subitem indexed, \hyperpage{108} + \item intersection, 105 + \subitem indexed, 108 \item \isa {IntI} (theorem), \bold{105} - \item \isa {intro} (method), \hyperpage{74} - \item \isa {intro!} (attribute), \hyperpage{128} - \item \isa {intro_classes} (method), \hyperpage{166} + \item \isa {intro} (method), 74 + \item \isa {intro!} (attribute), 128 + \item \isa {intro_classes} (method), 166 \item introduction rules, 68--69 - \item \isa {inv} (constant), \hyperpage{86} + \item \isa {inv} (constant), 86 \item \isa {inv_image_def} (theorem), \bold{115} \item inverse \subitem of a function, \bold{110} \subitem of a relation, \bold{112} \item inverse image - \subitem of a function, \hyperpage{111} - \subitem of a relation, \hyperpage{114} - \item \isa {itrev} (constant), \hyperpage{34} + \subitem of a function, 111 + \subitem of a relation, 114 + \item \isa {itrev} (constant), 34 \indexspace - \item \isacommand {kill} (command), \hyperpage{16} + \item \isacommand {kill} (command), 16 \indexspace - \item $\lambda$ expressions, \hyperpage{5} - \item LCF, \hyperpage{43} - \item \isa {LEAST} (symbol), \hyperpage{23}, \hyperpage{85} + \item $\lambda$ expressions, 5 + \item LCF, 43 + \item \isa {LEAST} (symbol), 23, 85 \item least number operator, \see{\protect\isa{LEAST}}{85} - \item Leibniz, Gottfried Wilhelm, \hyperpage{53} - \item \isacommand {lemma} (command), \hyperpage{13} - \item \isacommand {lemmas} (command), \hyperpage{93}, \hyperpage{102} - \item \isa {length} (symbol), \hyperpage{18} + \item Leibniz, Gottfried Wilhelm, 53 + \item \isacommand {lemma} (command), 13 + \item \isacommand {lemmas} (command), 93, 102 + \item \isa {length} (symbol), 18 \item \isa {length_induct}, \bold{190} - \item \isa {less_than} (constant), \hyperpage{114} + \item \isa {less_than} (constant), 114 \item \isa {less_than_iff} (theorem), \bold{114} - \item \isa {let} expressions, \hyperpage{5, 6}, \hyperpage{31} - \item \isa {Let_def} (theorem), \hyperpage{31} + \item \isa {let} expressions, 5, 6, 31 + \item \isa {Let_def} (theorem), 31 \item \isa {lex_prod_def} (theorem), \bold{115} - \item lexicographic product, \bold{115}, \hyperpage{178} + \item lexicographic product, \bold{115}, 178 \item {\texttt{lfp}} \subitem applications of, \see{CTL}{116} - \item Library, \hyperpage{4} - \item linear arithmetic, 22--24, \hyperpage{149} - \item \isa {List} (theory), \hyperpage{17} - \item \isa {list} (type), \hyperpage{5}, \hyperpage{9}, - \hyperpage{17} - \item \isa {list.split} (theorem), \hyperpage{32} + \item Library, 4 + \item linear arithmetic, 22--24, 149 + \item \isa {List} (theory), 17 + \item \isa {list} (type), 5, 9, 17 + \item \isa {list.split} (theorem), 32 \item \isa {lists_mono} (theorem), \bold{137} \item Lowe, Gavin, 196--197 \indexspace - \item \isa {Main} (theory), \hyperpage{4} + \item \isa {Main} (theory), 4 \item major premise, \bold{75} - \item \isa {make} (constant), \hyperpage{163} - \item marginal comments, \bold{60} + \item \isa {make} (constant), 163 + \item marginal comments, \bold{61} \item markup commands, \bold{59} - \item \isa {max} (constant), \hyperpage{23, 24} - \item measure functions, \hyperpage{47}, \hyperpage{114} + \item \isa {max} (constant), 23, 24 + \item measure functions, 47, 114 \item \isa {measure_def} (theorem), \bold{115} \item meta-logic, \bold{80} \item methods, \bold{16} - \item \isa {min} (constant), \hyperpage{23, 24} + \item \isa {min} (constant), 23, 24 \item mixfix annotations, \bold{53} - \item \isa {mod} (symbol), \hyperpage{23} + \item \isa {mod} (symbol), 23 \item \isa {mod_div_equality} (theorem), \bold{151} \item \isa {mod_mult_distrib} (theorem), \bold{151} \item model checking example, 116--126 - \item \emph{modus ponens}, \hyperpage{67}, \hyperpage{72} + \item \emph{modus ponens}, 67, 72 \item \isa {mono_def} (theorem), \bold{116} - \item monotone functions, \bold{116}, \hyperpage{139} + \item monotone functions, \bold{116}, 139 \subitem and inductive definitions, 137--138 - \item \isa {more} (constant), \hyperpage{158}, \hyperpage{160} + \item \isa {more} (constant), 158, 160 \item \isa {mp} (theorem), \bold{72} - \item \isa {mult_ac} (theorems), \hyperpage{152} + \item \isa {mult_ac} (theorems), 152 \item multiple inheritance, \bold{169} \item multiset ordering, \bold{115} \indexspace - \item \isa {nat} (type), \hyperpage{4}, \hyperpage{22}, 151--153 - \item \isa {nat_less_induct} (theorem), \hyperpage{188} + \item \isa {nat} (type), 4, 22, 151--153 + \item \isa {nat_less_induct} (theorem), 188 \item natural deduction, 67--68 - \item natural numbers, \hyperpage{22}, 151--153 + \item natural numbers, 22, 151--153 \item Needham-Schroeder protocol, 195--197 \item negation, 73--75 - \item \isa {Nil} (constant), \hyperpage{9} - \item \isa {no_asm} (modifier), \hyperpage{29} - \item \isa {no_asm_simp} (modifier), \hyperpage{30} - \item \isa {no_asm_use} (modifier), \hyperpage{30} - \item \isa {no_vars} (attribute), \hyperpage{62} - \item non-standard reals, \hyperpage{155} + \item \isa {Nil} (constant), 9 + \item \isa {no_asm} (modifier), 29 + \item \isa {no_asm_simp} (modifier), 30 + \item \isa {no_asm_use} (modifier), 30 + \item \isa {no_vars} (attribute), 62 + \item non-standard reals, 155 \item \isa {None} (constant), \bold{24} \item \isa {notE} (theorem), \bold{73} \item \isa {notI} (theorem), \bold{73} \item numbers, 149--155 \item numeric literals, 150 - \subitem for type \protect\isa{nat}, \hyperpage{151} - \subitem for type \protect\isa{real}, \hyperpage{155} - - \indexspace - - \item \isa {O} (symbol), \hyperpage{112} - \item \texttt {o}, \bold{209} - \item \isa {o_def} (theorem), \bold{110} - \item \isa {OF} (attribute), 95--96, \hyperpage{96} - \item \isa {of} (attribute), \hyperpage{93}, \hyperpage{96} - \item \isa {only} (modifier), \hyperpage{29} - \item \isacommand {oops} (command), \hyperpage{13} - \item \isa {option} (type), \bold{24} - \item ordered rewriting, \bold{176} - \item overloading, \hyperpage{23}, 165--167 - \subitem and arithmetic, \hyperpage{150} + \subitem for type \protect\isa{nat}, 151 + \subitem for type \protect\isa{real}, 155 \indexspace - \item pairs and tuples, \hyperpage{24}, 155--158 + \item \isa {O} (symbol), 112 + \item \texttt {o}, \bold{209} + \item \isa {o_def} (theorem), \bold{110} + \item \isa {OF} (attribute), 95--96 + \item \isa {of} (attribute), 93, 96 + \item \isa {only} (modifier), 29 + \item \isacommand {oops} (command), 13 + \item \isa {option} (type), \bold{24} + \item ordered rewriting, \bold{176} + \item overloading, 23, 165--167 + \subitem and arithmetic, 150 + + \indexspace + + \item pairs and tuples, 24, 155--158 \item parent theories, \bold{4} \item pattern matching - \subitem and \isacommand{recdef}, \hyperpage{47} + \subitem and \isacommand{recdef}, 47 \item patterns \subitem higher-order, \bold{177} \item PDL, 118--120 - \item \isacommand {pr} (command), \hyperpage{16}, \hyperpage{100} - \item \isacommand {prefer} (command), \hyperpage{16}, \hyperpage{100} - \item prefix annotation, \hyperpage{56} + \item \isacommand {pr} (command), 16, 100 + \item \isacommand {prefer} (command), 16, 100 + \item prefix annotation, 55 \item primitive recursion, \see{recursion, primitive}{1} - \item \isacommand {primrec} (command), \hyperpage{10}, \hyperpage{18}, - \hyperpage{41}, 38--43 + \item \isacommand {primrec} (command), 10, 18, 38--43 \item print mode, \bold{55} - \item \isacommand {print\_syntax} (command), \hyperpage{54} \item product type, \see{pairs and tuples}{1} \item Proof General, \bold{7} - \item proof state, \hyperpage{12} + \item proof state, 12 \item proofs \subitem abandoning, \bold{13} \subitem examples of failing, 87--89 @@ -451,11 +443,11 @@ \indexspace - \item quantifiers, \hyperpage{6} + \item quantifiers, 6 \subitem and inductive definitions, 135--137 \subitem existential, 82 \subitem for sets, 108 - \subitem instantiating, \hyperpage{84} + \subitem instantiating, 84 \subitem universal, 79--82 \indexspace @@ -463,28 +455,27 @@ \item \isa {r_into_rtrancl} (theorem), \bold{112} \item \isa {r_into_trancl} (theorem), \bold{113} \item range - \subitem of a function, \hyperpage{111} - \subitem of a relation, \hyperpage{112} - \item \isa {range} (symbol), \hyperpage{111} + \subitem of a function, 111 + \subitem of a relation, 112 + \item \isa {range} (symbol), 111 \item \isa {Range_iff} (theorem), \bold{112} - \item \isa {Real} (theory), \hyperpage{155} + \item \isa {Real} (theory), 155 \item \isa {real} (type), 154--155 \item real numbers, 154--155 - \item \isacommand {recdef} (command), 47--52, \hyperpage{114}, - 178--186 - \subitem and numeric literals, \hyperpage{150} - \item \isa {recdef_cong} (attribute), \hyperpage{182} - \item \isa {recdef_simp} (attribute), \hyperpage{49} - \item \isa {recdef_wf} (attribute), \hyperpage{180} - \item \isacommand {record} (command), \hyperpage{159} + \item \isacommand {recdef} (command), 46--52, 114, 178--186 + \subitem and numeric literals, 150 + \item \isa {recdef_cong} (attribute), 182 + \item \isa {recdef_simp} (attribute), 49 + \item \isa {recdef_wf} (attribute), 180 + \item \isacommand {record} (command), 159 \item records, 158--164 \subitem extensible, 160--161 \item recursion - \subitem guarded, \hyperpage{183} - \subitem primitive, \hyperpage{18} + \subitem guarded, 183 + \subitem primitive, 18 \subitem well-founded, \bold{179} \item recursion induction, 51--52 - \item \isacommand {redo} (command), \hyperpage{16} + \item \isacommand {redo} (command), 16 \item reflexive and transitive closure, 112--114 \item reflexive transitive closure \subitem defining inductively, 132--135 @@ -492,185 +483,184 @@ \item relations, 111--114 \subitem well-founded, 114--115 \item \isa {rename_tac} (method), 82--83 - \item \isa {rev} (constant), \hyperpage{10}, 10--14, \hyperpage{34} + \item \isa {rev} (constant), 10--14, 34 \item rewrite rules, \bold{27} \subitem permutative, \bold{176} \item rewriting, \bold{27} - \item \isa {rotate_tac} (method), \hyperpage{30} + \item \isa {rotate_tac} (method), 30 \item \isa {rtrancl_refl} (theorem), \bold{112} \item \isa {rtrancl_trans} (theorem), \bold{112} \item rule induction, 128--130 \item rule inversion, 130--131, 139--140 - \item \isa {rule_format} (attribute), \hyperpage{187} - \item \isa {rule_tac} (method), \hyperpage{76} - \subitem and renaming, \hyperpage{83} + \item \isa {rule_format} (attribute), 187 + \item \isa {rule_tac} (method), 76 + \subitem and renaming, 83 \indexspace - \item \isa {safe} (method), \hyperpage{91, 92} + \item \isa {safe} (method), 91, 92 \item safe rules, \bold{90} - \item \isacommand {sect} (command), \hyperpage{59} - \item \isacommand {section} (command), \hyperpage{59} + \item \isacommand {sect} (command), 59 + \item \isacommand {section} (command), 59 \item selector - \subitem record, \hyperpage{159} + \subitem record, 159 \item session, \bold{58} - \item \isa {set} (type), \hyperpage{5}, \hyperpage{105} + \item \isa {set} (type), 5, 105 \item set comprehensions, 107--108 \item \isa {set_ext} (theorem), \bold{106} \item sets, 105--109 - \subitem finite, \hyperpage{109} + \subitem finite, 109 \subitem notation for finite, \bold{107} \item settings, \see{flags}{1} - \item \isa {show_brackets} (flag), \hyperpage{6} - \item \isa {show_types} (flag), \hyperpage{5}, \hyperpage{16} - \item \isa {simp} (attribute), \hyperpage{11}, \hyperpage{28} + \item \isa {show_brackets} (flag), 6 + \item \isa {show_types} (flag), 5, 16 + \item \isa {simp} (attribute), 11, 28 \item \isa {simp} (method), \bold{28} - \item \isa {simp} del (attribute), \hyperpage{28} - \item \isa {simp_all} (method), \hyperpage{29}, \hyperpage{38} + \item \isa {simp} del (attribute), 28 + \item \isa {simp_all} (method), 29, 38 \item simplification, 27--33, 175--178 - \subitem of \isa{let}-expressions, \hyperpage{31} - \subitem with definitions, \hyperpage{30} - \subitem with/of assumptions, \hyperpage{29} + \subitem of \isa{let}-expressions, 31 + \subitem with definitions, 30 + \subitem with/of assumptions, 29 \item simplification rule, 177--178 - \item simplification rules, \hyperpage{28} - \subitem adding and deleting, \hyperpage{29} - \item \isa {simplified} (attribute), \hyperpage{93}, \hyperpage{96} - \item \isa {size} (constant), \hyperpage{17} - \item \isa {snd} (constant), \hyperpage{24} - \item \isa {SOME} (symbol), \hyperpage{86} + \item simplification rules, 28 + \subitem adding and deleting, 29 + \item \isa {simplified} (attribute), 93, 96 + \item \isa {size} (constant), 17 + \item \isa {snd} (constant), 24 + \item \isa {SOME} (symbol), 86 \item \texttt {SOME}, \bold{209} \item \isa {Some} (constant), \bold{24} \item \isa {some_equality} (theorem), \bold{86} \item \isa {someI} (theorem), \bold{86} \item \isa {someI2} (theorem), \bold{86} \item \isa {someI_ex} (theorem), \bold{87} - \item sorts, \hyperpage{170} + \item sorts, 170 + \item source comments, \bold{60} \item \isa {spec} (theorem), \bold{80} - \item \isa {split} (attribute), \hyperpage{32} - \item \isa {split} (constant), \hyperpage{156} - \item \isa {split} (method), \hyperpage{31}, \hyperpage{156} - \item \isa {split} (modifier), \hyperpage{32} + \item \isa {split} (attribute), 32 + \item \isa {split} (constant), 156 + \item \isa {split} (method), 31, 156 + \item \isa {split} (modifier), 32 \item split rule, \bold{32} - \item \isa {split_if} (theorem), \hyperpage{32} - \item \isa {split_if_asm} (theorem), \hyperpage{32} + \item \isa {split_if} (theorem), 32 + \item \isa {split_if_asm} (theorem), 32 \item \isa {ssubst} (theorem), \bold{77} \item structural induction, \see{induction, structural}{1} - \item subclasses, \hyperpage{164}, \hyperpage{169} - \item subgoal numbering, \hyperpage{46} - \item \isa {subgoal_tac} (method), \hyperpage{98} - \item subgoals, \hyperpage{12} - \item \isacommand {subsect} (command), \hyperpage{59} - \item \isacommand {subsection} (command), \hyperpage{59} + \item subclasses, 164, 169 + \item subgoal numbering, 46 + \item \isa {subgoal_tac} (method), 98 + \item subgoals, 12 + \item \isacommand {subsect} (command), 59 + \item \isacommand {subsection} (command), 59 \item subset relation, \bold{106} \item \isa {subsetD} (theorem), \bold{106} \item \isa {subsetI} (theorem), \bold{106} - \item \isa {subst} (method), \hyperpage{77} + \item \isa {subst} (method), 77 \item substitution, 77--79 - \item \isacommand {subsubsect} (command), \hyperpage{59} - \item \isacommand {subsubsection} (command), \hyperpage{59} - \item \isa {Suc} (constant), \hyperpage{22} + \item \isacommand {subsubsect} (command), 59 + \item \isacommand {subsubsection} (command), 59 + \item \isa {Suc} (constant), 22 \item \isa {surj_def} (theorem), \bold{110} - \item surjections, \hyperpage{110} + \item surjections, 110 \item \isa {sym} (theorem), \bold{94} \item symbols, \bold{54} - \item syntax, \hyperpage{6}, \hyperpage{11} - \item \isacommand {syntax} (command), \hyperpage{55} - \item syntax (command), \hyperpage{56} + \item syntax, 6, 11 + \item \isacommand {syntax} (command), 55 + \item syntax (command), 56 \item syntax translations, \bold{56} \indexspace \item tacticals, 99 - \item tactics, \hyperpage{12} - \item \isacommand {term} (command), \hyperpage{16} + \item tactics, 12 + \item \isacommand {term} (command), 16 \item term rewriting, \bold{27} \item termination, \see{functions, total}{1} \item terms, 5 \item text, \bold{61} - \item text blocks, \bold{60} - \item \isa {THE} (symbol), \hyperpage{85} + \item text blocks, \bold{61} + \item \isa {THE} (symbol), 85 \item \isa {the_equality} (theorem), \bold{85} - \item \isa {THEN} (attribute), \bold{94}, \hyperpage{96}, - \hyperpage{102} - \item \isacommand {theorem} (command), \bold{11}, \hyperpage{13} + \item \isa {THEN} (attribute), \bold{94}, 96, 102 + \item \isacommand {theorem} (command), \bold{11}, 13 \item theories, 4 \subitem abandoning, \bold{16} - \item \isacommand {theory} (command), \hyperpage{16} - \item theory files, \hyperpage{4} - \item \isacommand {thm} (command), \hyperpage{16} - \item \isa {tl} (constant), \hyperpage{17} + \item \isacommand {theory} (command), 16 + \item theory files, 4 + \item \isacommand {thm} (command), 16 + \item \isa {tl} (constant), 17 \item \isa {ToyList} example, 9--14 - \item \isa {trace_simp} (flag), \hyperpage{33} + \item \isa {trace_simp} (flag), 33 \item tracing the simplifier, \bold{33} \item \isa {trancl_trans} (theorem), \bold{113} - \item transition systems, \hyperpage{117} - \item \isacommand {translations} (command), \hyperpage{56} + \item transition systems, 117 + \item \isacommand {translations} (command), 56 \item tries, 44--46 - \item \isa {True} (constant), \hyperpage{5} - \item \isa {truncate} (constant), \hyperpage{163} + \item \isa {True} (constant), 5 + \item \isa {truncate} (constant), 163 \item tuples, \see{pairs and tuples}{1} \item txt, \bold{61} - \item \isacommand {typ} (command), \hyperpage{16} + \item \isacommand {typ} (command), 16 \item type constraints, \bold{6} - \item type constructors, \hyperpage{5} + \item type constructors, 5 \item type inference, \bold{5} - \item type synonyms, \hyperpage{25} - \item type variables, \hyperpage{5} - \item \isacommand {typedecl} (command), \hyperpage{117}, - \hyperpage{171} + \item type synonyms, 25 + \item type variables, 5 + \item \isacommand {typedecl} (command), 117, 171 \item \isacommand {typedef} (command), 171--174 \item types, 4--5 \subitem declaring, 171 \subitem defining, 171--174 - \item \isacommand {types} (command), \hyperpage{25} + \item \isacommand {types} (command), 25 \indexspace - \item Ullman, J. D., \hyperpage{145} + \item Ullman, J. D., 145 \item \texttt {UN}, \bold{209} \item \texttt {Un}, \bold{209} \item \isa {UN_E} (theorem), \bold{108} \item \isa {UN_I} (theorem), \bold{108} \item \isa {UN_iff} (theorem), \bold{108} \item \isa {Un_subset_iff} (theorem), \bold{106} - \item \isacommand {undo} (command), \hyperpage{16} + \item \isacommand {undo} (command), 16 \item \isa {unfold} (method), \bold{31} \item unification, 76--79 - \item \isa {UNION} (constant), \hyperpage{109} + \item \isa {UNION} (constant), 109 \item \texttt {Union}, \bold{209} \item union - \subitem indexed, \hyperpage{108} + \subitem indexed, 108 \item \isa {Union_iff} (theorem), \bold{108} - \item \isa {unit} (type), \hyperpage{24} - \item unknowns, \hyperpage{7}, \bold{68} + \item \isa {unit} (type), 24 + \item unknowns, 7, \bold{68} \item unsafe rules, \bold{90} \item update - \subitem record, \hyperpage{159} + \subitem record, 159 \item updating a function, \bold{109} \indexspace \item variables, 7 - \subitem schematic, \hyperpage{7} - \subitem type, \hyperpage{5} + \subitem schematic, 7 + \subitem type, 5 \item \isa {vimage_def} (theorem), \bold{111} \indexspace - \item Wenzel, Markus, \hyperpage{vii} + \item Wenzel, Markus, vii \item \isa {wf_induct} (theorem), \bold{115} \item \isa {wf_inv_image} (theorem), \bold{115} \item \isa {wf_less_than} (theorem), \bold{114} \item \isa {wf_lex_prod} (theorem), \bold{115} \item \isa {wf_measure} (theorem), \bold{115} - \item \isa {wf_subset} (theorem), \hyperpage{180} - \item \isa {while} (constant), \hyperpage{185} - \item \isa {While_Combinator} (theory), \hyperpage{185} - \item \isa {while_rule} (theorem), \hyperpage{185} + \item \isa {wf_subset} (theorem), 180 + \item \isa {while} (constant), 185 + \item \isa {While_Combinator} (theory), 185 + \item \isa {while_rule} (theorem), 185 \indexspace - \item \isa {zadd_ac} (theorems), \hyperpage{153} - \item \isa {zmult_ac} (theorems), \hyperpage{153} + \item \isa {zadd_ac} (theorems), 153 + \item \isa {zmult_ac} (theorems), 153 \end{theindex} diff -r 459b5de466b2 -r 8108791e2906 doc-src/TutorialI/tutorial.tex --- a/doc-src/TutorialI/tutorial.tex Thu Jan 17 12:45:52 2002 +0100 +++ b/doc-src/TutorialI/tutorial.tex Thu Jan 17 12:58:31 2002 +0100 @@ -28,14 +28,17 @@ \begin{document} -\title{\includegraphics[scale=.8]{isabelle_hol} +\title{ +\begin{center} +\includegraphics[scale=.8]{isabelle_hol} \\ \vspace{0.5cm} The Tutorial - \\ --- DRAFT ---} -\author{Tobias Nipkow and Lawrence C. Paulson\\[1ex] -Technische Universit{\"a}t M{\"u}nchen \\ -Institut f{\"u}r Informatik \\[1ex] -University of Cambridge\\ -Computer Laboratory} +\end{center}} +\author{Tobias Nipkow \quad Lawrence C. Paulson \quad Markus Wenzel%\\[1ex] +%Technische Universit{\"a}t M{\"u}nchen \\ +%Institut f{\"u}r Informatik \\[1ex] +%University of Cambridge\\ +%Computer Laboratory +} \maketitle \pagenumbering{roman}