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No, the class of undecidable languages is not closed under complementation.

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Q: Is the class of undecidable languages closed under complementation?
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Is the class of recognizable languages closed under complementation?

No, the class of recognizable languages is not closed under complementation.


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Why over the course of time have more programming language been developed?

Different types of programming languages exist because they each excels in a different aspect of programming, and in fact many languages are invented specifically to fulfill a niche that existing languages or language families don't handle as well as programmers would like. The two main distinctions used when determining what languages are best for a given task are low-level vs. high-level and interpreted vs. compiled. "Low-level" languages such as C and the various assembly languages grant a programmer the maximum amount of control over memory usage and allocation, making those languages good for embedded devices and tasks where memory is at a premium, while "high-level" languages provide a great deal of abstraction, allowing programmers to perform more complex tasks with less code and implementing concepts such as variable-length arrays, garbage collection, first-class functions, etc. "Interpreted" languages such as Perl or Ruby are executed by an interpreter program in real time, allowing these languages to benefit from features such as on-the-fly code modification (reflection) and dynamic typing and allowing them to be run on any system with an appropriate interpreter installed, while "compiled" languages are translated to machine code or bytecode, making these languages much faster and more efficient when run (as compilers can optimize programs ahead of time for speed and memory usage).


What is overriding inheritance?

When a class inherits from another class, it is implicitly given all the functions of its parent class. For example, if we have a class foo which has functions f1 and f2, and we write another class zed which inherits from class foo, we can call the function zed.f1 or zed.f2, without having to write them again. Effectively, the code for f1 and f2 are copied from foo into bar.Overriding is when you want zed.f1 to do something other than what foo.f1 does. By re-writing f1 in zed, we change what it does in zed without changing what it does in foo.This becomes important when we start talking about abstraction. In well-designed object-oriented languages, we can use child classes in place of their parents. For example, if we have yet another class bar that performs operations on a foo, we could give it a zed instead and it would still work, because zed must have all the functions that foo does.

Related questions

Is the class of recognizable languages closed under complementation?

No, the class of recognizable languages is not closed under complementation.


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