Let A, B and C be 3 languages over the same alphabet: AtLeast2(A.B.C) = {w|w is in at least 2 of the 3 languages A, B and C } Show that if A, B and C are regular languages, then so is AtLeast2(A.B.C). Hint: Write "AtLeast2(A,B,C)" in the form of some set operations (intersection, union, complement,.) on "A", "B", and "C". Then use closure properties of regular languages.
Let A, B and C be 3 languages over the same alphabet: AtLeast2(A.B.C) = {w|w is in at least 2 of the 3 languages A, B and C } Show that if A, B and C are regular languages, then so is AtLeast2(A.B.C). Hint: Write "AtLeast2(A,B,C)" in the form of some set operations (intersection, union, complement,.) on "A", "B", and "C". Then use closure properties of regular languages.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.1: Sets
Problem 9E
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