2.2 a. Use the languages A = {ab"c" | m, n > 0} and B = {a"b"c"|m, n > 0} together with Example 2.36 to show that the class of context-free languages is not closed under intersection. b. Use part (a) and DeMorgan's law (Theorem 0.20) to show that the class of context-free languages is not closed under complementation.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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2.2
a. Use the languages A = {ab"c" | m, n > 0} and B = {abc|m, n ≥ 0}
together with Example 2.36 to show that the class of context-free languages
is not closed under intersection.
b. Use part (a) and DeMorgan's law (Theorem 0.20) to show that the class of
context-free languages is not closed under complementation.
Transcribed Image Text:2.2 a. Use the languages A = {ab"c" | m, n > 0} and B = {abc|m, n ≥ 0} together with Example 2.36 to show that the class of context-free languages is not closed under intersection. b. Use part (a) and DeMorgan's law (Theorem 0.20) to show that the class of context-free languages is not closed under complementation.
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