Note that you should write down a strict math proof without any possible confusion or ambiguity. You must write down convincing and sufficient math reasoning. Do not just list out some math equations.

Q: Using Myhill-Nerode theorem to show the following language is not regular {a k b k ≥ 0}

A: We can use Myhill-Nerode theorem for checking whether language is regular or not. Myhill-Nerode…

Q: Proof of Equalities Prove (AUB) C (AUBUC) by universal generalization.

A: Universal generalization: Universal generalization is a logical principle that states that a…

Q: Induction on i proves (w) = (w) for every string w and all i > 0. Use these tips: Your theory (uv) =…

A: Base case (i = 1): We need to show that (w) = (w) for any string w. By definition, (w) = {u | wRu}…

Q: show two examples using method proof by cases

A: Your answer is given below.   Introduction :- Proof by cases :- The concept of proof by cases is to…

Q: The correct statements are: Group of answer choices Regular languages are closed under union.…

A: In step 2, I have provided complete answer to the question...

Q: riend

A: given - Suppose you are given some facts in First-Order Logics:a) Andi is a professorb) All…

Q: if there is an uncountable language on the alphabet ?, give an example if it does exist, and prove…

A: Given : We have to discuss uncountable language on the alphabet.

Q: 1. Determine whether the following are true or false. (a) 0 ℃ 0 (b) 0 ≤ {a} (c) {0} = {{0,0}} (d)…

A: Let's define each term here, ∅ => Empty or null set {a}, {b}, {c}, .. are different sets.   NOTE:…

Q: can you cite and provide proof for this

A: Selected Architecture: Replicated Database Server ArchitectureAdvantages: The replicated database…

Q: State the Deduction Theorem mathematically.

A:

Q: Describe ‘Proof Surrogates’ ?

A: The answer is given below.

Q: Prove ⊢ (¬A → A) → A in Hilbert deductive system. Note: In addition to the axioms and rule of…

A: Answers>- 1) First method:- To prove ⊢ (¬A → A) → A in the Hilbert deductive system, we will…

Q: Let Q be the language of all palindromes over {a, b} containing an equal number of a’s and b’s.…

A: Context-Free Language:Formal languages that are produced using context-free grammar are known as…

Q: Explain what it is Proof by Cases

A: Proof by cases : The idea in proof by cases is to break a proof down into two or more cases and to…

Q: Specify and implement a rational number type. Give the rep invariant and abstraction function and…

A: public class Rational { private int num, den; //constructorspublic Rational(){int numb = 0;int denm…

Q: Discrete Math Construct a truth table for: ∼ (p → q) ∧ p Is the statement ∼ (p ∨ q) ∧ p a…

A: Neither

Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.