New PDF release: A Logical Approach to Discrete Math (Monographs in Computer

By David Gries, Fred B. Schneider

ISBN-10: 1441928359

ISBN-13: 9781441928351

Uploader's Note: Ripped from SpringerLink.

Here, the authors attempt to alter the way in which common sense and discrete math are taught in computing device technological know-how and arithmetic: whereas many books deal with good judgment easily as one other subject of research, this one is exclusive in its willingness to move one step extra. The e-book traets common sense as a uncomplicated instrument that may be utilized in primarily another sector.

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Extra info for A Logical Approach to Discrete Math (Monographs in Computer Science)

Example text

5) Translation into a boolean expression. To translate proposition p into a boolean expression: 1. Introduce boolean variables to denote subpropositions. 2. Replace these subpropositions by their corresponding boolean variables. 3. Translate the result of step 2 into a boolean expression, using "obvious" translations of the English words into operators. 3 gives examples of translations of English words. 3. TRANSLATION OF ENGLISH WORDS and, but or not it is not the case that if p then q becomes becomes becomes becomes becomes 1\ v p=>q 34 2.

8 The tendency is to expect the postcondition to be calculated from the precondition and to expect the definition to be { R} x := E { R[x := E]} . Fight this intuition, for it is not consistent with how the assignment is executed. For example, using this incorrect rule, we would obtain {x = 0} x := 2 {(x = O)[x := 2]}, which is invalid. This is because when the assignment terminates, the resulting state does not satisfy the postcondition, false. 12) works well with methodologies for the formal development of programs.

1. GEORGE BooLE (1815-1864) George Boole was the son of a poor shopkeeper in England. In those days, little in the way of formal education was open to such people. Boole, however, was determined to learn enough to rise above the pitiful existence eked out by his father. He learned Latin and Greek on his own before he was 12 and math from his father, who also had gone beyond his schooling. At 16, young Boole got a job teaching in an elementary school to help support his parents. At 20, he opened.

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A Logical Approach to Discrete Math (Monographs in Computer Science) by David Gries, Fred B. Schneider


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