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1.Give a natural PDA for the language { ambncs dt :m+n=s+t, m,n,s,t ≥ 0} For example, aacd and abbbccdd are in the language
2. Give a CFG for each of the following languages where m, n, k, l ≥ 0. (a) L = {am bn ck dl | m = n + k + l}. (b) L = {am bn ck dl | k = m + n + l}. (c) L = {am bn ck dl | m + 2l = n + k}. (d) L = {am bn ck dl | m + k = 2n + l}.
1) Given language L = {a"62"n >0} a) Give an informal english description of a PDA for L b) Give a PDA for L
Automata theory Q1: Assume S = {a, b}. Build a CFG for the language of all strings with a triple a in them. Give a regular expression for the same language. Convert the CFG into CNF grammar. Q2: Assume S = {a, b}. Build a CFG for the language defined by (aaa+b)*. Convert the CFG into CNF grammar. Q3: Explain when a CFG is ambiguous. Give an example of an ambiguous CFG. give vedio link also
Push Down Automata Make PDA for: am b3m cn d2n where m and n are natural numbers.
Define a deterministic PDA (give table of moves) that accepts the language of balanced strings of parentheses. For convenience, a special end-marker is added to the end of each string. Use the grammar S rightarrow T$ T rightarrow T[T] elmentof (b) Show the moves that parses the string []$, alongside with the corresponding steps in the left derivation of the string.
PDA:
please give me a PDA for the language.
You don't have to draw a diagram, but please illustrate the PDA
something like this:
1.δ(q0,0, Z0)={(q0,0Z0)}
2.δ(q0,1, Z0)={(q0,1Z0)}
......
12.δ(q1, e, Z0)={(q2, Z0)}
Thank you!
(b) {Oʻ11 2k | i, j, k > 0 and i = j or i = k}
Give a CFG that generates the language L(a*b*c*) \ { anbncn | n is a non-negative integer }. This question is quite challenging; you will first need to devise a good strategy for how the CFG should work and then create the CFG to implement the strategy. You might want to do the other questions first. No messy writing please.
2. [10 marks] Give a PDA (Pushdown Automata) that recognizes the language L = {o€ {n,y, z}* | 2|이|z = |0ly V 2\이 You can choose whether your PDA accepts by empty stack or final state, but make sure you clearly note, which acceptance is assumed
2. [10 marks] Give a PDA (Pushdown Automata) that recognizes the language L = {o€ {n,y, z}* | 2|이|z = |0ly V 2\이 You can choose whether your PDA accepts by empty stack or...