Computer Science · Theory of Computation
According to Rice-Shapiro theorem, a language family LF is recursively enumerable if and only if F satisfies which of the following conditions? (1) If L is in F and L ⊆ L' for some recursively enumerable language L', then L' is in F. (2) If L is an infinite language in F, then there is a finite subset of L which is in F. (3) The set of finite languages in F is recursively enumerable.
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- 1(1), (2) and (3)✓
- 2(1) and (2) only
- 3(2) only
- 4(1) and (3) only
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(1), (2) and (3)
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