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The main advantage of having a Programming Language that is not Turing Complete is that your language can be strongly normalizing, that is, you can ensure that all terms halt with a unique, well formed value. I've come across non-Turing complete languages primarily with proof assistants. When you're using programs to prove theorems, you need to make sure ...


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Observe that it takes a PM about 75 times as long to produce a widget as it takes a TM to clear that widget and let it start producing the next widget. And we have only 5 PMs. Intuitively, it seems like we should have only one TM. It will be idle almost all the time, waiting for one of the PMs to finish. The PMs will be busy almost all the time, except ...


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First note that in any optimal solution we can always have $x_1 = a_1$ as we wish to maximize distances, and $x_1 = a_1$ unconditionally does that without sacrificing distance anywhere. Secondly note that while our 'smallest differences' metric we want to optimize appears a global problem, it really is not if we also sort our $x$. We can have the equivalent ...


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Defining meta-heuristics as "heuristics designed to find, generate, or select a heuristic" seems too broad. A meta-heuristic is commonly understood as an algorithmic template that defines how different low-level heuristic components (e.g. constructive procedures, local searches, solutions recombinations) interact in the search. After instantiating these ...


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