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Module34 - 2 are context-free 5 CFL’s not closed under...

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1 Module 34 Showing CFL’s not closed under set intersection and set complement
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2 Nonclosure Properties for CFL’s
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3 CFL’s not closed under set intersection How can we prove that CFL’s are not closed under set intersection?
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4 Counterexample What is a possible L 1 intersect L 2 ? What non-CFL languages do we know? What could L 1 and L 2 be? – L 1 = – L 2 = – How can we prove that L 1 and L
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Unformatted text preview: 2 are context-free? 5 CFL’s not closed under complement • How can we prove that CFL’s are not closed under complement? – Another way • Use fact that any language class which is closed under union and complement must also be closed under intersection 6 Language class hierarchy All languages over alphabet Σ RE REG H H Equal CFL REC Equal-3...
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