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Chapter 2: 10E (page 155)

Give an informal description of a pushdown automaton that recognizes the language in Exercise 2.9.

Short Answer

Expert verified

Informal description of the pushdown automaton that recognizes the language can be given.

A={ajbjck|i=jorj=kwherei,j,k鈮�0}canbegiven

Step by step solution

01

Explain pushdown automaton

Pushdown Automaton write symbols on the stack and read them. Writing a new symbol pushes down all the symbols in the stack before.

02

Give an informal description of a pushdown automaton that recognizes the language A.

Informal description of the pushdown automaton that recognizes the language

A={ajbjck|i=jorj=kwherei,k鈮�0}isasfollows

  1. Nondeterministic, branching to step 2 or 6.
  2. Read and push a 鈥檚.
  3. Pop a鈥檚, and read b 鈥檚.
  4. If stack is empty,accept.
  5. Skip a鈥檚 and c鈥檚 input.
  6. Push b鈥檚
  7. Read c 鈥檚.
  8. When stack is empty and c鈥檚 finish, accept.

Therefore, the informal description has been given

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Most popular questions from this chapter

Show that F = { aibj|i=kjfor some positive integerk } is not context free

Prove the following stronger form of the pumping lemma, wherein both pieces vandy must be nonempty when the stringS is broken up.

If Ais a context-free language, then there is a number k where, if s is any string inA of length at leastk , then s may be divided into five pieces,role="math" localid="1659706026393" s=uvxyz , satisfying the conditions:

role="math" localid="1659706054658" a.foreachi鈮�0,uvixyiz鈭�A,b.v鈮�蔚andy鈮�蔚,andc.|vxy|鈮�k,

Give a context-free grammar that generates the language

A={aibjkki=jorj=kwherei,j,k鈮�0}

Is your grammar ambiguous? Why or Why not?

Show that every DCFG is an unambiguous CFG

Let A={wtwR|w,t鈭�{0,1}*and|w|=|t|}. Prove that A is not a CFL.
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