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Provides a picture of current ideas and methods in the ongoing investigations into the pure mathematical foundations of computability theory.
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The fundamental ideas concerning computation and recursion naturally find their place at the interface between logic and theoretical computer science. The contr
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Classic graduate-level introduction to theory of computability. Discusses general theory of computability, computable functions, operations on computable functi
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Once we have accepted a precise replacement of the concept of algo rithm, it becomes possible to attempt the problem whether there exist well-defined collection
Enumerability, Decidability, Computability
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The task of developing algorithms to solve problems has always been considered by mathematicians to be an especially interesting and im portant one. Normally an