Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Draw this as a state diagram with circles for states and arrows for transition arrows: Pushdown Automaton ( PDA ) for L: States: q 0

Draw this as a state diagram with circles for states and arrows for transition arrows:
Pushdown Automaton (PDA) for L:
States: q0, q1, q2, q3, q4, q5, q6, q7 Alphabet: {a, b, c} Stack Alphabet: {a, b, Z}
Transition Table:
q0, a, Z -> q1, aZ (Push a onto the stack)
q0, b, Z -> q2, bZ (Push b onto the stack)
q0, c, Z -> q3, cZ (Push c onto the stack)
q0, a, a -> q1, aa (Push a onto the stack)
q0, b, b -> q2, bb (Push b onto the stack)
q0, c, c -> q3, cc (Push c onto the stack)
q0, epsilon, Z -> q4, Z (Empty stack, transition to final state)
q1, a, a -> q1, aa (Continue pushing a onto the stack)
q2, b, b -> q2, bb (Continue pushing b onto the stack)
q3, c, c -> q3, cc (Continue pushing c onto the stack)
q1, b, a -> q2, epsilon (Matched a, pop a from stack)
q2, a, b -> q1, epsilon (Matched b, pop b from stack)
q2, b, c -> q3, epsilon (Matched c, pop c from stack)
q1, c, a -> q2, epsilon (Matched a, pop a from stack)
q3, a, c -> q1, epsilon (Matched c, pop c from stack)
q3, c, c -> q3, cc (Continue pushing c onto the stack)
q1, c, a -> q2, epsilon (Matched a, pop a from stack)
q3, b, c -> q2, epsilon (Matched c, pop c from stack)
q2, a, b -> q1, epsilon (Matched b, pop b from stack)
q2, c, b -> q1, epsilon (Matched b, pop b from stack)
q1, a, a -> q1, aa (Continue pushing a onto the stack)
q3, b, b -> q3, bb (Continue pushing b onto the stack)
q1, b, a -> q2, epsilon (Matched a, pop a from stack)
q2, a, b -> q1, epsilon (Matched b, pop b from stack)
q2, b, c -> q3,\epsi (Matched c, pop c from stack)
q1, b, a -> q2, epsilon (Matched a, pop a from stack)
q2, b, b -> q2, bb (Continue pushing b onto the stack)
q1, c, a -> q2, epsilon (Matched a, pop a from stack)
q3, c, c -> q3, cc (Continue pushing c onto the stack)
q4, epsilon, Z -> q5, Z (Transition to final state)
q5, a, Z -> q6, epsilon (Pop remaining a's from stack)
q6, b, Z -> q7, epsilon (Pop remaining b's from stack)
q7, c, Z -> q4, Z (Pop remaining c's from stack)
q5, epsilon, Z -> q4, Z (Empty stack, transition to final state)
q6, epsilon, Z -> q4, Z (Empty stack, transition to final state)
q7, epsilon, Z -> q4, Z (Empty stack, transition to final state)
q4, epsilon, Z -> q8, Z (Transition to accepting state)
q8, a, Z -> q8, epsilon (Accepting state)
q8, b, Z -> q8, epsilon (Accepting state)
q8, c, Z -> q8, epsilon (Accepting state)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Database Design Application And Administration

Authors: Michael Mannino, Michael V. Mannino

2nd Edition

0072880678, 9780072880670

More Books

Students also viewed these Databases questions