Cardiff School of Computer Science and Informatics

Coursework Assessment Pro-forma

Module Code:      CMT304

Module Title:      Programming Paradigms

Lecturer:       V´ıctor Guti ´ errez-Basulto

Assessment Title:      Part 1: Logic Programming

Assessment Number:      1 of 4

Date Set:      30th November 2020

Submission date and Time:      24th May 2021 at 9:30am

Return Date:      14th June 2021

This assignment is worth 25% of the total marks available for this module. If coursework is submitted late (and where there are no extenuating circumstances):

1. If the assessment is submitted no later than 24 hours after the deadline, the mark for the assessment will be capped at the minimum pass mark;

2. If the assessment is submitted more than 24 hours after the deadline, a mark of 0 will be given for the assessment.

Your submission must include the official Coursework Submission Cover sheet, which can be found here:

https://docs.cs.cf.ac.uk/downloads/coursework/Coversheet.pdf

Submission Instructions

All submission must be via Learning Central. Upload the following files in a single zip file, [student number].zip:

Any deviation from the submission instructions above (including the number and types of files submitted) will result in a mark of zero for the assessment or question part.

Staff reserve the right to invite students to a meeting to discuss coursework submissions.

Your submissions will be checked for plagiarism. Your work must be your own and you must independently solve the problem and submit your own solution. Any other material or sources of information you use must be referenced. Code and text you submit will be compared with other submissions and various other sources on and off the Internet. Any substantial similarities of you submission to unreferenced work or material not created by yourself will be subject to academic misconduct proce-dures. Marks will only be assigned for work you have done yourself (incl. finding and discussing material from references, but not the referenced work; there are no marks for code copied from elsewhere, but for either writing your own code or integrating and adapting code that you have not written).

Background

This is assignment one of a portfolio that will be composed of four assignments. Each of the four assignments is worth 25% , summing up to 100% of the total marks available for this module.

Assignment

Consider the following situation:

The public works division in a region has the responsibility to subcontract work to private companies. There are several types of tasks. Each task is carried out by a team, but each team is capable of carrying out all different types of tasks. The region is divided into districts, and the amount of tasks to be done in each district is known. In particular, the following information is available:

• The region is divided into n districts.

• There are m private companies such that 1 . . . k are experienced and k + 1 . . . m are non-experienced.

• Each company i has ti teams available, for all 1 ≤ i ≤ m.

• Each district j requires aj many teams, for all 1 ≤ j ≤ n.

• The yearly cost of allocating a team from a company i to a district j is (the integer) ci,j , for all 1 ≤ i ≤ m, 1 ≤ j ≤ n.

The goal is to write a logic program for helping the public works division with this process. Using the information above, the program should determine the number of teams from each company to allocate to each district such that the following constraints are satisfied.

• At least one experienced company must be allocated to each district (as precaution in case some difficult task arises in that district).

• Enough teams must be allocated to meet the demand in each district.

• No company can be asked to provide more teams than it still has available.

• The cost must be minimised.

Task 1:

1. Write a logic program in ASP (problem encoding.lp) which finds all solutions to the problem, given n, m, k, ti, aj , ci,j for all 1 ≤ i ≤ m, 1 ≤ j ≤ n. Document your code so the following is clear.

(a) How it should be used.

(b) What the approach to solving the problem is. In particular, you need to explain what each rule achieves and how the rule achieves it.

Include your name and student id in the comments.

2. Write three problem instances (problem instancei.lp, for all i ∈ {1, 2, 3}) to test your program. Document your code so it is clear what the instance is modeling.

Task 2: Write a short report on logic programming related to the problem:

1. Provide, in up to 300 words, an analysis of the design and functioning of your program in terms of the Guess-and-Test modeling methodology.

2. Provide, in up to 300 words, two arguments for and two arguments against using logic programming to solve the problem.

The word limits are an upper limit, not a target length. Text longer than the word limit for each point will be ignored. Clearly mark each argument in your answer and indicate if it is for and against. Only provide two arguments for and against; additional arguments will be ignored.

Learning Outcomes Assessed

• Evaluate and apply the logic programming paradigm to solve a given problem.

• Discuss and contrast the issues, features, design and concepts of logic programming.

• Explain the conceptual foundations of logic programming.

Criteria for assessment

Task 1: maximum 50 marks, assessed according to the following scale

Feedback and suggestion for future learning

Feedback on your coursework will address the above criteria. Feedback and marks will be returned on 14th June 2021 via Learning Central. This will be supplemented with oral feedback on request.