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4 - Theory of Computation

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Total cards: 3•Content version: v3•Public deck•Updated: 8/1/2026

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#1
Front (Question)

Describe the significance of the Halting problem for commutation.

Back (Answer)

The Halting problem demonstrates that there are some problems that cannot be solved by a computer.

#2
Front (Question)

What is the question posed by the by the Halting problem?

Back (Answer)

Is it possible in general to write a program that can tell, given any program and its inputs, and without running the program, whether the given program with its given inputs will halt?

#3
Front (Question)

Why is it not possible to create a Turing machine that solves the Halting problem?

Back (Answer)

The Halting problem is non-computable