PRT580 : Requirements in Predicate Logic Form - Management Assignment Help

Assignment Task:

Task:

Questions 1. (4 points) Write these requirements in predicate logic form.

• When a user selects a word, it is checked if word is in dictionary. Then a translation is given. Otherwise a error given. This works if the user enters English or the other language, but the user must select which language they are using

• When displaying a word from the dictionary, you must show the part of speech, translation and example use of the word in a sentence(if it exists) and a link to a page where the full list of attributes of the word should be shown. In your answer explain the language (English or other) used for each attribute of the word, given a request to display an English word

2. (4 points) Are the following formulae functions, if so are they bijective. Explain your answers • f : N → N defined by f(n) = n/2 • f : N → N defined by f(x) = ? ?? ?? x + 1 x ≤ 1 x − 1 x = 2 x x ≥ 3 • f : N → N defined by f(n)=3n

• Mapping from people to their phone number

3. (8 points) Consider a lexicographical ordering on NxN

• Write the elements first 5x5 of the set as a partially ordered set

. • Use this relationship to draw a Hasse diagram of the set.

• Write a matrix for this ordering of the set

• Is this matrix symmetric: ? ? 1 2 3 2 1 0 3 0 0 ? ?

4. (4 points) Induction

• Prove by induction that ∀n ∈ Z+ Pn i=1 (−1)i i 2 = (1)nn(n + 1)/2

• Find and prove by induction a closed form for ∀n ∈ Z+ Pn i=1 1/i(i + 1)

5. (4 points) Consider the four colour theorem.

• Describe a way to check if a map is four colourable

• Describe how you will code a map in a program to be able to analyse if it is four colourable

• Write the pseudo code with comments to test if a map is four-colourable

6. (6 points) Explain in your own words. One - two sentence per part:

• What is the importance of prime numbers in cryptography?

• There are various structures we build in programs to support easy access to data. For instance an array of items. What is the complexity of accessing an item in an array.

• For previous question, why can we assume that will be the complexity of nay implementation?

This PRT580  Management Assignment has been solved by our Management Experts at My Uni Paper. Our Assignment Writing Experts are efficient to provide a fresh solution to this question. We are serving more than 10000+Students in Australia, UK & US by helping them to score HD in their academics. Our Experts are well trained to follow all marking rubrics & referencing style.

Be it a used or new solution, the quality of the work submitted by our assignment Experts remains unhampered. You may continue to expect the same or even better quality with the used and new assignment solution files respectively. There’s one thing to be noticed that you could choose one between the two and acquire an HD either way. You could choose a new assignment solution file to get yourself an exclusive, plagiarism (with free Turnitin file), expert quality assignment or order an old solution file that was considered worthy of the highest distinction.