Poset , computer science, Basic Computer Science

Assignment Help:
1. (40 points) Add a course drop method to the system that you implemented in Problem Set
1. Modularize your new implementation properly. For any new methods that you introduce:
1. Write a speci cation.
2. Write an implementation sketch.
3. Annotate the code.
2. (80 points) A partially ordered set (PoSet) is a pair (S; R) where S is a set and R  S  S
is a binary relation over S such that:
 R is re
exive: 8 x 2 S : xRx
 R is antisymmettric: 8 x; y 2 S : xRy ^ yRx ) x = y
 R is transitive: 8 x; y; z 2 S : xRy ^ yRz ) xRz
R is called a partial order over S.
Implement PoSet as an abstract data type. Your implementation must provide the following
operations:
 Create an empty partially ordered set (S; R), i.e., S = ;, R = ;.
 Add an element x to S: S := S [ fxg, with R remaining unchanged.
 Add an ordering between two existing elements x; y 2 S: R := R [ (x; y), provided that
this does not violate the partial order conditions.
 Answer a membership query x 2 S.
 Answer an ordering query (x; y) 2 R.
You may use any class in the Java collections framework.
Your solution must include the following:
1. An abstraction function and representation invariant for the class that implements PoSet.
2. Overview statements for every class.
3. Speci cation, implementation sketch, and annotation for all methods, with the exception
of very simple and obvious methods such as one line getter methods.

Related Discussions:- Poset , computer science

C, A palindrome is a string that reads the same from both the ends. Given a...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

Assembly Language Project, Our instructor gave us a project in making a mec...

Our instructor gave us a project in making a mechanical game or simple device using assembly language, can anyone give me a an example of a project description for our proposal?

Keystroke logger and data-stealing, Keystroke logger and Data-stealing: ...

Keystroke logger and Data-stealing: Keystroke loggers: This is a program, once installed on the system, which intercepts the keys when entering the password or the Credit Ca

Simple batch systems, Simple Batch Systems: Early machines were very...

Simple Batch Systems: Early machines were very expensive, and therefore it was important to maximize machine utilization. To improve utilization, the concept of batch operat

Output, what is output and input

what is output and input

Microwave transmission, Microwave Transmission: Using space as transmi...

Microwave Transmission: Using space as transmission medium, microwave emanates from an origination point on earth, such as telephone exchange, where many individual messages h

Embedded operating systems, Embedded Operating Systems, Devices have EOS bu...

Embedded Operating Systems, Devices have EOS built-in, OPERATING SYSTEM embed on the System itself, Cell phones, PDAs, medical equipment Fast, Application specific Stable a

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd