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Gries D. — A Logical Approach to Discrete Math
Gries D. — A Logical Approach to Discrete Math



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Название: A Logical Approach to Discrete Math

Автор: Gries D.

Аннотация:

This text attempts to change the way logic and discrete mathematics are taught. While many books treat logic simply as another topic of study, this book treats logic as a basic tool to be applied in essentially every other area. The book is organized so that selected chapters can either be studied together or used as a reference. The core of the book consists of textual substitution, equality and assignment, Boolean expressions, propositional calculus, quantification and predicate calculus. The remaining chapters can be selected according to individual course outlines.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 3-rd edition

Год издания: 1993

Количество страниц: 520

Добавлена в каталог: 23.01.2014

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Предметный указатель
Theory      158
Theory of integers      158 303
Theory of sequences      251
Theory of sets      158 195
Theory of types      211
Three of a kind      353
Three-bit adder      102
Topological sort      288 289
Total function      280
Total order      287 307
Trading with $\exists$      164
Trading with $\forall$      158
Traditional set comprehension      198
Trail      426
Transformation      406
Transitive closure      274
Transitive reduction      286
Transitive relation      273
Transitivity      308
Transitivity of $\Rightarrow$      59
Transitivity of $\subseteq$      207
Transitivity of =      12
Traversal      426
TREE      452
Triangle inequality      315
Trichotomy      308
Trinity College      54 409
Trinity College, Dublin      440
Triple, Hoare      17
Troelstra, Anne S.      475
Truars and liars      106
TRUE      25 44
Truth table      25
Truthify      179
Tukey, John      93
Tuple      252
Tuple, named      267
Turin, university of      227
Turing Award      19 79 183 448
Turing machine      79
Turing, Alan M.      78 79
Turnstile $\vdash$      114
Two pair      353
TYPE      139
Type as a syntactic property      140
Type of a function      140
Type of a function application      140
Type of a subexpression      140
Type theory      211
Type, boolean $\mathbb{B}$      139
Type, character $\mathbb{C}$      139
Type, integers $\mathbb{Z}$      139
Type, natural numbers $\mathbb{N}$      139
Type, negative integers $\mathbb{Z}^{-}$      139
Type, positive integers $\mathbb{Z}^{+}$      139
Type, positive reals $\mathbb{R}^{+}$      139
Type, rational numbers $\mathbb{Q}$      139
Type, real numbers $\mathbb{R}$      139
Type, strongly typed      141
Unary minus —      306
Unary operator      7 387
Uncountable      466
Uncountable, number of programs      470
Undirected graph      424
Uninterpreted function symbol      157
Union $\cup$      203 213 270
Uniqueness      63
Universal quantification $\forall$      145 158
Universal set of building blocks      102
Universe of values      196
Untyped language      141
Uranus      2
Utility graph      437
Valid      31 128
van Dalen, Dirk      475
van de Snepscheut, Jan      xi
Variable, Boolean      25
Variable, bound occurrence of      145 146
Variable, free occurrence of      145 146
Variable, fresh      147
Variable, propositional      33 41
Variable, quantified      142
Variable, rigid      181
Variable, short name for      34
Venn diagram      201
Vertex      423
Vertex, degree of      425
Vertex, end vertex      424
Vertex, indegree of      425
Vertex, isolated      425
Vertex, outdegree of      425
Vertex, start vertex      424
Vienna, University of      129
Wadler, Phil      xi
Walk      426
Wang, Hao      129 475
Watson      348
Weak induction      219
Weak induction, equivalence with strong induction      244
Weakening      58 160 165
Weaker predicate      58
Weakest precondition      182
Webster's Dictionary      3 41 53
Weierstrass, Karl W.T.      132 464
Weighted digraph      449
Well founded      229
Well ordered      309
Well-founded set      309
Well-ordered domain      309
Well-ordering Axiom      309
Weyl, H.      131
Whitehead, Alfred North      212
Wickelgren, Wayne A.      83 475
Wiles, Andrew      403
Wirth, Niklaus      347
Witness      163 167
Wojcik, Tony      xi
World War I      231
World War II      79 116
Xerox PARC      154
XOR      27 36
Zermelo's theorem      465
Zermelo, Ernst      209 210
Zero      6 50 389
Zero of $\cap$ ($\emptyset$)      205
Zero of $\cdot$ (0)      304
Zero of $\cup$ (U)      205
Zero of $\vee$ (true)      49
Zero of $\wedge$ (false)      51
Zero of gcd (1)      317
Zero, concept of      6
Zero, left zero      50 389
Zero, right zero      50 389
Zero, starting with      6
Zero, symbol for      6
Zippel, Richard      xi
[..i] (Prefix)      261
[i..j] (Segment)      260
[i..] (Suffix)      261
^ (Catenation)      254 256
| (divides)      315
|S| (Absolute value)      172
|S| (Size of set)      201
~ (Complement)      202 270
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