Transform the following sentences to CNF.

Q: subject theory of computer science    Consider the finite automata (FA) represented by the…

A: Here in this question we have given  transition of some finite automata.and based on this we have to…

Q: Define a CFG that generates the language over the alphabet Σ = {α,β,θ} defined by the regular…

A: The given regular expression is : β(α + β)*αθα(α + β + θ)*β We need to find context-free grammar for…

Q: (3) {w € [0, 1]*: w has 001 as a substring} Testing strings: €, 0, 1, 01, 000, 001, 0001, 0010,…

A: We are given a language {w ∈ {0,1}*: w has 001 as a substring}.And we are asked to test given…

Q: a)    (p ∧ ~q) ∧ p True False

A: Tell if the statements are true or false. Let p: 3 + 5 = 6; q: 5 + 5 = 10. (a)    (p ∧ ~q) ∧ p True…

Q: hich of the following is NOT one of the axioms from XXV Y (XY) ⇒ [(Zv X) (Z V Y)] ⇒ XV X X

A: Solution - In the given question, we have to tell which is not the axioms from Hilbert's system.

Q: termine the truth value of each compound statement when p is false, q is false, and r is true.  You…

A: Solution : We have determine the truth value of each compound statement when p is false, q is false,…

Q: Q. The formal description of a NFA (Nondeterministic finite automaton) is: ({qı, q2}, {0,1}, 8, qı,…

A: Regular expressions are patterns used to match character combinations in strings. A regular…

Q: Prove that the following language L is decidable: L = {(M) : 3x = {0,1}*, 1000 € ReachCells(M,x)}.

A: A Turing machine is an abstract mathematical model of computation introduced by Alan Turing in 1936.…

Q: QUESTION 4. rules: 1. 2. Let G((S), ((.)), P, S) be a CFG, where P contains the following S→…

A: A Context-Free Grammar (CFG) is a formal grammar that is commonly used to describe the syntax or…

Q: Given: ∀x [p(x) → q(x)] ∀x[p(x) → (∀y w(y))] ∀x ∀y [(q(x) ∧ w(y)) → s(x)] p(MARY) Show s(MARY)…

A: The answer is as follows.

Q: Simplify the following assertions (so that ¬ does not appear).

A: Answer to the above question is given below

Q: The proposition p q is logically equivalent to a. [(NOT q> NOT p) AND (q -> p)]. -> O b. [(p > NOT…

A: pq~p~qp↔q∼q→∼pq→∼p∼q→∼p & q→∼pTTFFTTTTTFFTFFTFFTTFFTFFFFTTTTFTclearly option A is correct.

Q: (4) {w € [0, 1]* : w does not have 001 as a substring} Testing strings: €, 0, 1, 01, 000, 001, 0001,…

A: In this question we have to design a Nondeterministic Finite automata where a language consist of…

Q: Give an dfa that accepts the language L ((a + b)∗b (a + bb)∗).

A: The DFA for the given language L ((a + b)∗b (a + bb)∗) is shown below:

Q: For the following regular expressions over the alphabet Σ ={a, b}, give a word description of the…

A: Regular expressions are powerful tools in computer science and formal language theory for describing…

Q: Let L be the set of exactly those strings over the alphabet {a, b, c, g} whose last symbol is either…

A: Given NFA should accept all strings over {a,b,c,g} even length Accepting strings are aa ab abcg aabb…

Q: Suppose the language, L, over an alphabet Σ0 is regular, and f : Σ0 → Σ1, is a function from the…

A: The complete solution is below:

Q: Prove the predicate logic statement is valid: (∀ x)(P(x)) ∧ (∀ x)(Q(x)) → P(a) ∧ Q(b)

A: Introduction Predicate Logic: In mathematics and computer science, predicate logic is a formal…

Q: Given that P(x, y, z) is a propositional function such that the universe for x, y, z is {1,2}.…

A: Quantified statements in logic are used to express general claims about sets of objects or values.…

Q: Draw a deterministic FSM that recognizes strings of 1’s and 0’s specified by each of the following…

A: In (a) String of three characters ,101 (b) All strings of arbitrary length that end in 101 .(Example…

Q: (a) L = {all words with exactly one b}. (b) L = {all words with at least one a}. (c) L = {all words…

A: For the alphabet Σ ={a, b}, construct an FA that accepts the following languages.(a) L = {all words…

Q: If A is any language, let A 1/3 – 1/3 be the set of all strings in A with their middle thirds…

A: the answer is given below:-