Q3real09sol

# Q3real09sol - CSE303 Q3 SOLUTIONS Summer 2009 YES/NO...

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Unformatted text preview: CSE303 Q3 SOLUTIONS Summer 2009 YES/NO questions Circle the correct answer. Write SHORT justification. 1. For any language L ⊆ Σ * , Σ 6 = ∅ there is a deterministic automata M , such that L = L ( M ). Justify : only when L is regular n 2. Any regular language has a finite representation. Justify : definition; regular expression is a finite string y 3. Any finite language is regular. Justify : any finite language is a finite union of one element regular languages y 4. Given L 1 ,L 2 languages over Σ, then (( L 1 ∩ (Σ *- L 2 )) ∪ L 2 ) L 1 is regular. Justify : only when both are regular languages n 5. For any deterministic automata M , L ( M ) = S { R (1 ,j,n ) : q j ∈ F } , where R (1 ,j,n ) is the set of all strings in Σ * that may drive M from state initial state to state q j without passing through any intermediate state numbered n +1 or greater, where n is the number of states of M . Justify : basic fact and definition y 6. Σ in any Generalized Finite Automaton includes some regular ex- pressions. Justify : definition of GFA y 7. For any finite automata M , there is a regular expression r , such that L ( M ) = r . Justify : main theorem y 8. Pumping Lemma says that we can always prove that a language is not regular. Justify : PL gives a certain characterization of infinite regular lan- guages n 9. Pumping Lemma serves as a tool for proving that a language is not regular....
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## This note was uploaded on 06/03/2011 for the course CSE 303 taught by Professor Ko,k during the Spring '08 term at SUNY Stony Brook.

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Q3real09sol - CSE303 Q3 SOLUTIONS Summer 2009 YES/NO...

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