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We now consider the negation operator. Negation is a unary operator (meaning that it is a function with exactly one argument) mapping a boolean to a boolean and is denoted by the symbol '- ', written as a prefix to its argument. If p is a boolean expression, '-ip' is pronounced 'not p'. The law governing -<p is [Negation] Reading this as ->p = (p = false) , it functions as a definition of negation. Reading it the other way, (^p = p) = false , it provides a way of simplifying propositional expressions. In addition, the symmetry of equivalence means that we can rearrange the terms in a continued equivalence in any order we like. So, we also get the property: p = (->p = false) . The law (5.15), in conjunction with the symmetry and associativity of equivalence, provides a way of simplifying continued equivalences in which one or more terms are repeated and/or negated. Suppose, for example, we want to simplify We begin by rearranging all the terms so that repeated occurrences of 'p' and V are grouped together. Thus we get ->p = p = false . (5.15)

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public partial class ModelAttribute { public void SetNameAndTypeValue(string newValue) { string oldValue = thisGetNameAndTypeValue(); if (oldValue != newValue) { ValueChanging(this, newValue, oldValue); if (!thisStoreInUndoRedoOrRollback) {

OUTPUT 14:

After each prompt, this program uses the SystemConsoleReadLine() method to retrieve the text the user entered and assign it to an appropriate variable By the time the second SystemConsoleReadLine() assignment completes, firstName contains to the value Inigo and lastName refers to the value Montoya

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atically. First, it had been tested on several pairs of identical strings, and then on several pairs of strings of unequal length. Both these tests had produced satisfactory results. The final test had been to input several pairs of equal length but unequal strings, such as 'cat' and 'dog', or 'house' and 'river'. This final test is interesting because it is possible to use simple probability theory to make a rough estimate of the chances of discovering the programming error. The details are not relevant here. Suffice it to say that, assuming pairs of words of equal length are generated with equal letter frequencies (that is, each letter in the alphabet is chosen with a probability of 1/26), there is only a one in three chance of discovering the error after ten tests; increasing the number of tests to 20 would still only yield a one in two chance, and one would need to perform over 50 tests to achieve a 90% chance of discovering the error. Finally, and most importantly, there is no certainty that one would ever discover the error, no matter how many tests have been performed. So, you see that program testing is never-ending. We can never be sure that all avenues have been tried; we can never be sure that there is not one more error lurking unseen, just waiting for the most crucial opportunity to show itself. (Needless to say, I observed the error by reading the code, not by testing. The student was blameless. The error was the responsibility of the student's teacher for having failed to teach proper design principles and suggesting that testing was adequate.)

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// in-Store changes string[] separated = newValueSplit(new char[] { ':' }); if (separatedLength > 0) thisName = separated[0]Trim(); if (separatedLength > 1) thisType = separated[1]Trim(); } // Handle here any propagation outside the Store // ValueChanged(this, newValue, oldValue); } } }

SystemConsoleRead() In addition to the SystemConsoleReadLine() method, there is also a SystemConsoleRead() method However, the data type returned by the SystemConsoleRead() method is an integer corresponding to the charac-

ter value read, or 1 if no more characters are available To retrieve the actual character, it is necessary to first cast the integer to a character, as shown in Listing 114

That debugging is not fail-safe is a drawback, but not its main limitation. The main problem with debugging is that it is useless as the basis for program design, of which fact even a small acquaintance with programming will convince you. An alternative to debugging is the development of a science of programming. Such a science should provide the techniques to enable the verification of a program against its specification. But it should do more than that; it should provide a discipline for the construction of programs that guarantees their correctness. Of course, the science guarantees correctness only if it is used correctly, and people will continue to make mistakes. So testing is still wise, and debugging will occasionally be necessary. But now, rather than chance, it is our own skill in applying the science on which we rely. The aim of this book is to impart that skill and to enable you to take a pride in your programming ability.

1: Introducing C#

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