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computable sets and functions, Turing degrees, c.e. degrees, models of computability, primitive recursion, oracle computation, models of computability, decision problems, undecidability, Turing jump, halting problem, notions of computable randomness, computable model theory, computable equivalence relation theory, arithmetic and hyperarithmetic hierarchy, infinitary computability, $\alpha$-recursion, complexity theory.

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information theoretic lower bound for hashing functions [closed]

The literature on minimal perfect hashing functions (mphf) says that the best function we can do will have to store $\frac1{\ln(2)}$ (~1.44) bits per key. There are some sets though that require 0 bit …