Grammar
S -> G | K
G -> 0H | 1L
H -> 0L | 1G | epsilon
L -> 0H | 1G
K -> HHH
H -> 0H1 | esilon
Explanation
For DFA we have S -> G
For L2 we have S -> K
Up vote Please
Let L, be the language accepted by the DFA below and L2 = {0"1"Om1 mol 1|n,...
Please can you show me the all intermediate steps and explain
clearly in the solution?
Let Ly be the language accepted by the DFA below and L2 = {0M1mom 1kok1"|n, m, k > 0}. Create a CFG that generates L3 = L; U L2 using the techniques pre- sented in textbook. 91 1 start – 40 0 92
Question 8 10 pts Let S = {a,b,c}. Write a grammar that generates the language: L = {(ac)"6n+1w: n > 0, W € 2*, W contains the substring acb}
Question 1 Let Σ = {a,b,c}. What is the language L accepted by
the dfa below?
Question 1 a, b, c}. What is the language L accepted by the dfa below? Let = 94 a,c а.с b а,b 91 а,с Яз a,b,c
3. (15) ALLDFA = { <D> | D is a DFA with L(D) = {*}. Show that ALLDFA E P.
Problem 1 Create a CFG that generates each of the languages below. [10 points] [10 points] wR is a substring of r if there are strings y, z E {a, b)" such that r = ywR2. A = {w I w E {a, b)" has more as than bs} B = {w#r l w,xe(a, b)" and wR a. b. is a substring of r). Rememb er, c. [10 points] C = {amb"ck 1 m, n > 0 and k =...
Exercise 7.3.2: Consider the following two languages: Li = {a"b2ncm n,m >0} L2 = {a" mc2m | n,m >0} a) Show that each of these languages is context-free by giving grammars for each. ! b) Is L; n L, a CFL? Justify your answer.
Give a context free grammar for the language L where L = {a"bam I n>:O and there exists k>-o such that m=2"k+n) 3. Give a nondeterministic pushdown automata that recognizes the set of strings in L from question 3 above. Acceptance should be by accept state. 4. 5 Give a context-free grammar for the set (abc il j or j -k) ie, the set of strings of a's followed by b's followed by c's, such that there are either a...
Part B - Automata Construction Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of all strings such that the number of 0s is divisible by 2 and the number of 1s is divisible by 5. Your DFA must handle all intput strings in {0,1}*. Here is a methodical way to do this: Figure out all the final states and label each with the shortest string it accepts, work backwards from these states to...
Let PALINDROMEDFA = { | M is a DFA, and for all s L(M), s is a
palindrome }. Show that PALINDROMEDFA P by providing an algorithm
for it that runs in polynomial time.
Let PALINDROMEDFA = {<M> Mis a DFA, and for alls e L(M), s is a palindrome }. Show that PALINDROMEDFA E P by providing an algorithm for it that runs in polynomial time.
Part C Only
Let Σ = {a,b}. For each of the following languages, find a grammar that generates it. (a) Li {a"6" : n > 0,m< n}. (b) L2 = {ang 2n: n > 2). (c) L3 {an+35" : n > 2}.