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Effektiv Java programmieren | Joshua Bloch | download | B–OK.
At the time of Bentley’s article, binary search was typical of the kind of programs that could be proved correct, and the proof had to proceed manually. Kindle Edition Need help?
Then in 2006 Joshua Bloch, then at Google, published a now legendary blog article [2] which showed that all these versions suffered from a major flaw: to obtain m, the approximate mid-point between i and j, they compute (i + j) // 2. which, working on computer integers rather than mathematical integers, might overflow!
I will try to write this up some day as it is a truly elegant and illuminating explanation. Do you like brainteasers?
This is not the last section yet, but that was the last program attempt. Blog; Main Effective Java. Let me simply name the basic proof technique: This idea is of course the same as that of a proof by induction in mathematics: the initialization corresponds to the base step (proving that P (0) holds) and the body property to the induction step (proving that from P (n) follows P (n + 1).
He led the design and implementation of numerous Java platform features, including the Java Collections Framework, the java.math package, and the assert mechanism.
Sold by: Amazon.com Services LLC He has a BS from Columbia University and a PhD from Carnegie-Mellon University, where he worked on the Camelot distributed transaction processing system, which later became Encina, a product of Transarc, where he was a Senior Systems Designer. Long live Unicode, allowing us to use symbols such as Remember that the invariant has to be established by the loop’s initialization and preserved by every iteration. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. Please try your request again later.
28 quotes from Joshua Bloch: 'Learning the art of programming, like most other disciplines, consists of first learning the rules and then learning when to break them. Today’s proof systems are far more sophisticated. As I pointed out in the first article, there is a long tradition of using binary search to illustrate software correctness issues. In a job interview, for example, show a loop-based algorithm to a programmer and ask “how would you verify it?”: most will start talking about devising clever test cases.Far from me to berate testing [1]; in fact, I have always thought that the inevitable Dijkstra quote about testing — that it can only show the presence of errors, not their absence [2] — which everyone seems to take as an indictment and dismissal of testing (and which its author probably intended that way) is actually a fantastic advertisement Until listeners realize that verification cannot just mean testing, the best course material on axiomatic semantics or other proof techniques will not attract any interest. In the general case, it is often useful to use arrays with arbitrary bounds (as in Eiffel), so we can have even a small array, with high indices, for which the computation will produce an overflow and bad results.The Bloch gotcha is a stark reminder that in considering the correctness of programs we must include all relevant aspects and consider programs as they are executed on a real computer, not as we wish they were executed in an ideal model world.
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