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Documents Russell’s Paradox and the Halting Problem Lecture 24 Section 5.4 Wed, Feb 23, 2005.

Russell’s Paradox and the Halting Problem Lecture 24 Section 5.4 Wed, Feb 23, 2005 Trends Homework Trend 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% 1 2 3 4 Assignment…

Documents The Halting Problem Can we design a program that, given any other program and its input, tells...

The Halting Problem Can we design a program that, given any other program and its input, tells whether that program will halt when run on that input? Output of this program,…

Documents Russell’s Paradox and the Halting Problem

Set Theory Russell’s Paradox Let S = {A | A  A}. Let P(x) be the predicate “x  x.” Is S  S? If S  S, then S satisfies the predicate. So P(S) is true. But…