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CSE 555 Theory of Computation (2/28) - Organic Origami

CSE 555 Theory of Computation (2/28) - Organic Origami

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Turing-recognizability<br />

A Turing machine M accepts an input string w, if there is a<br />

sequence C 1 , . . . , C k <strong>of</strong> configurations, such that<br />

1 C 1 is the start configuration <strong>of</strong> M on w: C 1 = q 0 w.<br />

2 C i yields C i+1 for each i.<br />

3 C k is an accepting configuration.<br />

The set <strong>of</strong> strings accepted by M: the language <strong>of</strong> M (the<br />

language recognized by M).<br />

A language L is Turing-recognizable (recursively enumerable),<br />

if some Turing machine recognizes it.

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