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Titlebook: Handbook of Logic and Proof Techniques for Computer Science; Steven G. Krantz Book 2002 Birkhäuser Boston 2002 Boolean algebra.algorithms.

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Proof Theory,interested in the process of finding a proof, in machine-generated proof, and in finding the shortest proof of a given statement. The proof theorist is also interested in which axiom schemes might generate proofs most efficiently. Following [BUS], we note that for many purposes a very long proof tha
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Complexity Theory,ory in the following way: Suppose that the formulation of an instance of a problem involves . pieces of data. Then how many steps will it take (as a function of .) to solve the problem? Can we obtain an effective bound on that number of steps that is valid for asymptotically large values of .?
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Steven G. Krantzryone interested in the IMO.Includes supplementary material:In July 2009 Germany hosted the 50th International Mathematical Olympiad (IMO). For the very first time the number of participating countries exceeded 100, with 104 countries from all continents. Celebrating the 50th anniversary of the IMO
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