A* B* Clock x 001100110 A B A K B' A B A*B* x = 0 z x = 1 x = 0 x=1 x 0 0 1 1 0 0 1 1 0 A1 B? Z

a.Provide a top-level decomposition of the problem of drawing a frieze pattern, assuming for the moment that the basic element is repeated just exactly 5 times. At this stage you are not trying to produce a solution, just break the problem down into smaller parts. We are looking for a decomposition that could apply to a frieze composed of any basic element, so for now you should just assume that the exact form of the basic element will be considered in a more detailed decomposition, so you can just say “draw basic element” for this step. Your initial decomposition should use exactly one loop. In the remainder of this question, you will design and implement a program to draw the particular frieze shown   In this frieze the length of each of the eight "spokes” of the basic element is 40 and the angle between the spokes is 45º. Each repeat is 100 units to the right of the previous one, as measured from the centre of one basic element to the centre of the next (where the centre is the…

Is each of the following statements true or false? Please explain.  a. Let σgrp := (·, ()-1, 1) be the signature groups, where · is a binary and ()-1 a unary function symbols, and 1 is a constant symbol. Then every σ-structure G := (G,·G, (()-1)G,1G) is a group with the group operation ·G. b. Let A := (A, σA) and B := (B, σB) be σ-structures. If A ⊆ B, then A is a substructure of B.  c. Let A := (A, σA) and B := (B, σB) be σ-structures. If A is a substructure of B, then the inclusion map a ↦ a from A into B is a σ-embedding.

please make sure the answer is correct and the diagram is understandable. please explain how to get the NAND-AND structure from the AND-OR-NOT. Thanks in advance for your help

3. (a) Let Σ = {a, b}. Find a regular expression corresponding to the language L = {ba} ∗ ∪ {aa, bb}. (b) Let Σ = {0, 1}. Give the language corresponding to the regular expression 10∗ (0 +.

Use laws of logic to prove this. The solution must look like the picture I provided. Include the laws next to the steps. Thank you in advance!

Write down the truth tables for the compound statements(P ⇒ Q) ∧ (Q ⇒ P)and(P ⇒ Q) ∧ QIs either of them a tautology?

Prove the language L = {1n | m ∈ N ∧n = 2m} is non-regular. Explain each step of your reasoning with precision.

For each of the following regular expressions over Σ = {a, b}, state 5 strings that are in the language of the regular expression, and 5 strings that are not.  1. (a∗b)∗|a∗2. (Σ∗aaΣ∗)|(Σ∗bbΣ∗)|(ab)∗|(ba)∗|a|b

Use the standard process we saw in class to derive an NFA from the RE ((a∗bc)∗)∗, and then use the subset algorithm to give an equivalent DFA. Either formalizing the DFA/NFA or diagramming them clearly will be sufficient. The final DFA should be labled with sets of NFA states.