Problems on Pushdown Automata

Pushdown Automata (PDA) are a special type of machine used in computer science to process certain types of languages, especially those that involve nested structures, like parentheses in mathematical expressions or HTML tags in web pages. Unlike simple machines that only read input step by step, PDAs have an extra memory component called a stack, which helps them keep track of information. They play an important role in formal language theory and are widely used in parsing and compiler design.

This page provides a collection of easy-to-follow examples showing how PDAs process different inputs.

1. Construct Pushdown Automata for given languages
2. Construct Pushdown Automata for all length palindrome
3. NPDA for accepting the language L = {aⁿ b^m cⁿ| m,n>=1}
4. NPDA for accepting the language L = {aⁿ bⁿ c^m | m,n>=1}
5. NPDA for accepting the language L = {aⁿbⁿ | n>=1}
6. NPDA for accepting the language L = {a^m b^(2m) | m>=1}
7. NPDA for accepting the language L = {a^m bⁿ c^p d^q| m+n=p+q ; m,n,p,q>=1}
8. Construct Pushdown automata for L = {0ⁿ1^m2^m3ⁿ | m,n ? 0}
9. Construct Pushdown automata for L = {0ⁿ1^m2^(n+m) | m,n ? 0}
10. NPDA for accepting the language L = {a^mbⁿc^(n+m) | m,n ? 1}
11. NPDA for accepting the language L = {a^mb^(n+m)cⁿ| m,n ? 1}
12. NPDA for accepting the language L = {a^2mb^3m | m ? 1}
13. NPDA for accepting the language L = {a^mb^(2m+1) | m ? 1}
14. NPDA for accepting the language L = {aⁱb^jc^kd^l | i==k or j==l,i>=1,j>=1}
15. Construct Pushdown automata for L = {a^(2*m)c^(4*n)dⁿb^m | m,n ? 0}
16. Construct Pushdown automata for L = {0ⁿ1^m2^(n+m) | m,n ? 0}
17. NPDA for L = {0ⁱ1^j2^k | i==j or j==k ; i , j , k >= 1}
18. NPDA for accepting the language L = {aⁿb⁽²ⁿ⁾ | n>=1} U {anbn | n>=1}
19. NPDA for the language L ={w?{a,b}*| w contains equal no. of a’s and b’s}

To test your knowledge, attempt Quiz on Context Free Languages and Pushdown Automata