undecidablpr.html

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<H1>undecidable problem</H1>
<P>
(definition)

<P>
<strong>Definition:</strong>
A problem that cannot be decided by any <a href="algorithm.html" tppabs="http://hissa.nist.gov/dads/HTML/algorithm.html"><em>algorithm</em></a> --- equivalently, whose associated language cannot be recognized by a <a href="turingmachin.html" tppabs="http://hissa.nist.gov/dads/HTML/turingmachin.html"><em>Turing machine</em></a> that halts for all inputs.
<P><strong>See also</strong>
<a href="decidable1.html" tppabs="http://hissa.nist.gov/dads/HTML/decidable1.html"><em>decidable problem</em></a>, <a href="solvablprblm.html" tppabs="http://hissa.nist.gov/dads/HTML/solvablprblm.html"><em>solvable problem</em></a>, <a href="undecidable2.html" tppabs="http://hissa.nist.gov/dads/HTML/undecidable2.html"><em>undecidable language</em></a>, <a href="postscrrspnd.html" tppabs="http://hissa.nist.gov/dads/HTML/postscrrspnd.html"><em>Post's correspondence problem</em></a>.
<P><em>Note:
From Algorithms and Theory of Computation Handbook, page 24-19 or 26-20, Copyright &copy; 1999 by CRC Press LLC.</em>
<P>Author: <a href="terms.html#authorCRC-A" tppabs="http://hissa.nist.gov/dads/terms.html#authorCRC-A">CRC-A</a>

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Entry modified Sat Sep  4 16:23:41 1999.<BR>
HTML page formatted Wed Dec 22 09:36:49 1999.

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