- This article is about the complexity class. For the programming language, see ZPL programming language.
In complexity theory, ZPL (Zero-error Probabilistic Logarithmic space) is the set of problems solvable by a probabilistic Turing machine which always yields the correct answer and uses logarithmic space on average. Probabilistic algorithms that always give the correct answer are called Las Vegas algorithms.
A surprising result is that ZPL is equal to both RL and NL; thus, if a problem can be solved in logarithmic space with nondeterminism or with one-sided error, it can be solved with no error and logarithmic space on average. See the articles on RL and NL for more information about ZPL.
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