pushdown automata (pda)

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ProofAssume the grammar is in the Chomsky normal form,so there is no λ-production.Consider a very big derivation tree where the depth ismore than the number of variables in V . Then at leastone of the variables, say A, is repeated in the longestpath from root.Suppose the terminal string under the last appearanceof A is x. Let the partial derivation tree under the firstappearance A be vxy, so uAz is a sentential form in thederivation of w. Then clearly uv i xy i z is in the language.Pushdown Automata – p. 24
Closure PropertiesThe set of context-free languages is closed underunion, concatenation, and star closure.The set of context-free languages is not closed underintersection and complementation.Pushdown Automata – p. 25
Page 1 and 2: Pushdown AutomataNotes on Automata
Page 3 and 4: Pushdown AutomataA nondeterministic
Page 5 and 6: Examples of δSuppose δ(q 1 ,a,b)
Page 7 and 8: Language Accepted by An npdaLet M =
Page 9 and 10: Another ExampleConsider the set L =
Page 12: Proof L(G) ⊆ L(M)Consider partial
Page 15 and 16: Basic IdeaHere we want the sententi
Page 17 and 18: ProofWe show that for all q i ,q j
Page 19 and 20: Deterministic cfgA language L is sa
Page 21 and 22: Grammars for Compiler DesignThe dec
Page 23: Pumping LemmaLet L be an infinite c
Page 27 and 28: Regular IntersectionLet L 1 be cont

pushdown automata (pda)

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