By Philip M. Lewis II, Daniel J. Rosenkrantz, Richard E. Stearns
This can be a non-searchable e-book. caliber isn't nice, yet it's readable.
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Extra resources for Compiler Design Theory (The Systems Programming Series)
20 Declarative and imperative descriptions are intimately related, as indeed are mathematics and computer science. For instance, to say that the answer produced by a program is ``correct'' is to make a declarative statement about the program. There is a large amount of research aimed at establishing techniques for proving that programs are correct, and much of the technical difficulty of this subject has to do with negotiating the transition between imperative statements (from which programs are constructed) and declarative statements (which can be used to deduce things).
In fact, the treatment of 36 numbers is one of the trickiest and most confusing aspects of any programming language. 71. 00 different from the integer 2? Are the arithmetic operations used for integers the same as the operations used for real numbers? 0? How large a number can we represent? How many decimal places of accuracy can we represent? Is the range of integers the same as the range of real numbers? Above and beyond these questions, of course, lies a collection of issues concerning roundoff and truncation errors -- the entire science of numerical analysis.
13. Prove that Fib(n) is the closest integer to 5 , where Let 1 5 2 . 2) to prove that Fib n 5 . 3 Orders of Growth The previous examples illustrate that processes can differ considerably in the rates at which they consume computational resources. One convenient way to describe this difference is to use the notion of order of growth to obtain a gross measure of the resources required by a process as the inputs become larger. Let n be a parameter that measures the size of the problem, and let R(n) be the amount of resources the process requires for a problem of size n.
Compiler Design Theory (The Systems Programming Series) by Philip M. Lewis II, Daniel J. Rosenkrantz, Richard E. Stearns