Please find the answer below.
NOTE : Here, (qi, a, qj) means the machines changes state from qi to qj on accepting alphabet a.
2.a) Question 3. a) Give a sequence of states for automaton N from Question 2.a) above,...
2. This question is about regular languages. Consider the following finite automaton: 2 3 4 (d) Translate the above automaton into a deterministic finite automaton. Explain your steps, or your design. [7 marks]
2. This question is about regular languages. Consider the following finite automaton: 2 3 4
(d) Translate the above automaton into a deterministic finite automaton. Explain your steps, or your design. [7 marks]
please explain thanks
Search 20:14 2. Let a, b, c, d). Express the next language on E as a regular expression. (10 points x 3 ) (1)A language consisting of words in which the number of b is 2 or 3 (2) A language consisting of words whose last character is a or b (3) A language consisting of words in which the letter following the letter a is always b 3. M (0, 1, 2), a, b}, 6, 0,...
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5. (a) Consider the deterministic finite automaton M with states S := {80, 81, 82, 83}, start state so, single accepting state $3, and alphabet E = {0,1}. The following table describes the transition function T:S xHS. State 0 1 So So S1 So S1 S2 So $1 82 S3 S3 82 Draw the transition diagram for M. Let U = {01110,011100}. For each u EU describe the run for input u to M. Does M accept...
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...
1. Construct a DFSM to accept the language: L w E ab): w contains at least 3 as and no more than 3 bs) 2. Let E (acgt and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg. ge. Construct both a DFSM to accept the language and a regular expression that represents the language. 3. Let ab. For a string w E , let w denote the string w with the...
Any answer that involves a design for a Finite Automaton (DFA or NFA) should contain information about the following five components of the FA (corresponding to the 5-tuple description): i) The set of states Q; ii) the alphabet Σ; iii) the start state; iv) the set of final states F; v) the set of transitions δ, which can be either shown in the form of a state diagram (preferred) or a transition table. You can either present the answer in...
Theory of Computation
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1. For the following grammar: a) Give an example of a string accepted by the grammar. b) Give an example of a string not accepted by the grammar. c) Describe the language produced by the grammar. 2. Using the following grammar find a derivation for the string: 0001112 A0A1le C 0C2 | D Create a grammar for the language described by the following RE: Create a grammar for the following language: For the...
Let Σ = {0, 1). (a) Give a recursive definition of Σ., the set of strings from the alphabet Σ. (b) Prove that for every n E N there are 2" strings of length n in '. (c) Give a recursive definition of I(s), the length of a string s E Σ For a bitstring s, let O(s) and I(s) be number of zeroes and ones, respectively, that occur in s. So for example if s = 01001, then 0(s)...
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2. Let {acgt} and let L be the language of strings consisting of repeated copies of the pairs at, ta, cg, gc. Construct both a DFSM to accept the language and a regular expression that represents the language 3. Let a,b. For a string w E X", let W denote the string w with the a's and b's flipped. For example, for w aabbab: w bbaaba wR babbaa abaabb {wwR Construct a PDA to accept the language:...
3. (20) Give proofs of the following: a. The question: "Given a DFA M and a string w, does M accept w" is decidable. b. Given two Turing-acceptable language Li and L2, the language LtLz is also Turing-acceptable. [D not use non-determinism. Do be sure to deal with cases where a TM might loop.l