You are given two Finite Automata (FA), FA1 and FA2, as shown below. a, b w2+...
Finite Automata (FA) takes care of garbage collection. If regular expression is give and asks you to draw FA for that then how do you know of where to draw garbage collection? please explain with an example.
what is the minimal corresponding maching (Finite Automata, Pushdown Automata, or Turing Machine) for each of the following languages? State which method is being used P3) What is the minimal corresponding machine (FA, PDA or TM) for each of the following languages? (You must provide proper explanations or proofs for your answer.) (30 points) o) L1 (every strings consist with a and b 0, 00,000), 0). (b) L2 balanced parenthesises , For example L2- (a) Ls ab" al n 20)...
In this assignment, you will implement a deterministic finite automata (DFA) using C++ programming language to extract all matching patterns (substrings) from a given input DNA sequence string. The alphabet for generating DNA sequences is {A, T, G, C}. Write a regular expression that represents all DNA strings that contains at least two ‘A’s. Note: assume empty string is not a valid string. Design a deterministic finite automaton to recognize the regular expression. Write a program which asks the user...
Automata and Computability problems Please check my work and make necessary corrections/edits. Add details to my work as well :) 3. Determine whether the grammar implicitly defined by the following rules is ambiguous. Prove your answer. S > AB А ЭaA A > abA Αε В ЭbВ B → abB B → 4. Give pushdown automata that recognize the following languages. (a) A = {w € {0,11 w contains at least three 1s) 3. It is ambiguous. Here are two...
THEOREM 3.1 Let r be a regular expression. Then there exists some nondeteministic finite accepter that accepts L (r) Consequently, L () is a regular language. Proof: We begin with automata that accept the languages for the simple regular expressions ø, 2, and a E . These are shown in Figure 3.1(a), (b), and (c), respectively. Assume now that we have automata M (r) and M (r) that accept languages denoted by regular expressions ri and r respectively. We need...
3. (8) Let L be the language accepted by the following finite state machine: q0 q1 q2 q3 Answer Yes or No: Does each of the following regular expressions correctly describe L? (1) (a uba)bb'a (2) (EU b)a(bb%)* (3) ba u ab*a (4) (a ba)(bb*a)*
Finite state machines & Regular Expressions Please select the best option 1. For the following questions Let r, s, t be regular expressions for the same alphabet "á" (left column). Get the property on the right side that produces equality for each regular expression. 2. From the diagram of the solution M = (Σ, Q, s,, F) is respectively: e would be NONE. 3. The following graph corresponds to a diagram of: A. Transition machine and states b. Transition...
4. A regular expression for the language over the alphabet fa, b) with each string having an even number of a's is (b*ab*ab*)*b*. Use this result to find regular expressions for the following languages a language over the same alphabet but with each string having odd number of a's. (3 points) a. b. a language over the same alphabet but with each string having 4n (n >- 0) a's. (3 points)
1. Consider the alphabet {a,b,c}. Construct a finite automaton that accepts the language described by the following regular expression. 6* (ab U bc)(aa)* ccb* Which of the following strings are in the language: bccc, babbcaacc, cbcaaaaccbb, and bbbbaaaaccccbbb (Give reasons for why the string are or are not in the language). 2. Let G be a context free grammar in Chomsky normal form. Let w be a string produced by that grammar with W = n 1. Prove that the...
related to theory of automation. thank you. 3- Given the NFA below, write the transition functions and then draw the equivalent DFA. (10 Points) Note: The transitions between qo and q1 are either a, or lambda. q2 q0 q1 1-Please construct a DFA that includes both the substring aa and the substring bb, over the alphabet fa,b). (10 Points)