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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.
10
votes
Existence of unknowable algorithms ?
The Robertson-Seymour graph minor theorem shows that membership in any given minor-closed family of graphs can be checked in polynomial time. It even shows this can be done in $\mathcal{O}(n^3)$ time …
9
votes
3
answers
636
views
Finite realization of irrational transfer functions
In the field of digital signal processing, linear time-invariant systems play a distinguished role. These are the systems for which there exists an impulse response, a function $h:\mathbb{Z}\to\mathb …