Definition: One whose associated language is a recursively enumerable language. Equivalently, there exists an algorithm that halts and outputs 1 for every instance having a "yes" answer, but for instances having a "no" answer is allowed either not to halt or to halt and output 0.
See also decidable problem, undecidable problem, solvable, tractable, computable.
Note: From Algorithms and Theory of Computation Handbook, page 24-19, Copyright © 1999 by CRC Press LLC. Appearing in the Dictionary of Computer Science, Engineering and Technology, Copyright © 2000 CRC Press LLC.
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Entry modified 9 August 2004.
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Cite this as:
Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "partially decidable problem", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 9 August 2004. (accessed TODAY) Available from: http://www.nist.gov/dads/HTML/partiallyDecidableProb.html