Prove that this language is not regular, L = {w ∈ {a,b}* : na(w) = 2nb (w) + 1}
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Prove that this language is not regular, L = {w ∈ {a,b}* : na(w) = 2nb (w) + 1}
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- Consider an ADT for the data structure of positive integers calledPOSITIVE_INTEGER defined over a domain of integers Z+, supporting the operations of addition (ADD) and subtraction (MINUS) and checking if positive (CHECK_POSITIVE). The ADT is defined as follows:?=?ା, ? = {?|? ∈ ?}, ? = {???, ?????, ?????_????????}.Subtract 10 from all list entries without any looping in the haskell programming language. Use of map and fmap Furthermore, let us suppose that there are two distinct lists.Show that the following language is decidable, by reducing it to ECFG:
- Finite AutomataA. L = {w| w begins with an "a" and ends with a "b", should accept "aaaaabaaaab"}B. L = {w| w contains at least three a's, should accept "abababbbb" }Answer itthe nfa. L1 = {u ∈ Σ∗| u ends with aa}.L2 = {u ∈ Σ∗| u ends and begins with different letters }.L3 = {u ∈ Σ∗| u contains abba}.L4 = {u ∈ Σ∗| u is of the form anbamfor n,m > 0}. Given the above languages:(a) Use the set operators ‘union’ and ‘complement’ to describe L5 = L1 ∩ L2.(b) Prove that L5 is regular.(c) Construct an NFA M that accepts L5, and prove its correctness.?Code in Prolog. Do not use in built libraries. Implement the following relation to get a vector product from two list of numbers. prodVector It should work like the following: ?- prodVector([3, 2, 5], [3, 4, 2], P). P = [9, 8, 10] . ?- prodVector([], [], P). P = [] .