Automata and formal languages
Starting with the knowledge that the Knapsack problem is NP-complete, prove that the Parttion problem is NP-complete.?
Automata and formal languages Starting with the knowledge that the Knapsack problem is NP-complet...
formal languages and automata Construct an NPDA for accepting the language L = {ww^R: we {a, b}*}
Formal languages and automata: Give a regular expression for L={anbm:n?2,m?1,nm?3}
Show that the decision version of the knapsack problem is NP-complete. (Hint: In your reduction, make use of the partition problem: given n positive integers, partition them into two disjoint subsets with the same sum of their elements. The partition problem is NP-complete.)
Introduction to Formal Languages and Automata Theory Course Study Question. Find the equivalent DFA from the following NFA which is represented by a transition diagram. The black state represents the final (accepting) state.
Formal Languages and Automata Theory Q2. Give context-free grammars that generate the following language: { w є {0, 1} | w contains at least three 1's)
Is the following problem NP-Complete? The Rice bowl problem is to pick the ingredients for your bowl. You are given a set of ingredients I1 to In. Each ingredient Ii comes with a quality qi and a quantity si . You are also given a bowl size S and a quality goal Q. Can you select a subset of the ingredients that both fit in the bowl (the sum of their si is at most S) and have enough quality...
The decision version of the Knapsack problem is as follows: Given a set of n items {1, 2, …, n}, where each item j has a value v(j) and a weight w(j), and two numbers V and W, can we find a subset X of {1, 2, …, n} such that Σj∈X v(j) ≥ V and Σj∈X w(j) ≤ W? Prove formally that the Knapsack problem is NP-complete.
Formal Languages & Automata Theory 1411372 Pages 169, 170 Problems: 5, 13. 6.2 Two IMPORTANT NORMAL FORMS 169 heorem 6.7 For every context-free grammar G with λ ¢ L (G), there exists an equivalent grammar G in Greibach noma or EXERCISES 5Convert the grammar / into Chomsky ormal for
Formal Languages & Automata Theory 1411372 Pages 133,134 Problems: 7(a,b), 8 (b,c) 5.1 CoNTEXT-FREE GRAMMARS 133 EXERGISES 7. Find context-free grammars for the following languages (with n 2 0, m 0) (a) L = {a"b"": n < m + 3).
For context the class is about Automata, Computability, and Formal Languages I just need parts b & e done 14. Find grammars for E = {a, b} that gener- ate the sets of (a) all strings with exactly two a's. (b) all strings with at least two a’s. (c) all strings with no more than three a's. (d) all strings with at least three a’s. (e) all strings that start with a and end with b. (f) all strings with...