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

CAI, EXPLAIN CAI? AND ITS PITFALLS

EXPLAIN CAI? AND ITS PITFALLS

Socket, socket programming

socket programming

Python Tuples , A tuple is one more series data type that is like to the li...

A tuple is one more series data type that is like to the list. A tuple consists of a number of values divided by commas. Not like lists, though, tuples are enclosed inside parenthe

Breadth first search - artificial intelligence, Breadth First Search - arti...

Breadth First Search - artificial intelligence: Given a set of operators o1, ..., on in a breadth primary search, every time a new state s is reached, an action for every  oper

Data structuures, write a fuctions for MIDSQUARING hashing technique

write a fuctions for MIDSQUARING hashing technique

Types of chat room, Types of chat room: Java Chat rooms: The most comm...

Types of chat room: Java Chat rooms: The most common and popular chat scripts are based on java which is object oriented language. Java is freely available and comes with virt

Geometric mean - algorithm, The geometric mean is obtained by multiplying a...

The geometric mean is obtained by multiplying all the four numbers and taking the fourth root of the product. Let x 1 ,x 2 ,x 3  and x 4  be the given four numbers then geometric

Server, Server In a network, the resources of computers comprising net...

Server In a network, the resources of computers comprising network are usually shareable. In fact, one of the main objectives of networking is to make the computing resources

Software Engineering, You are an engineer involved in the development of a ...

You are an engineer involved in the development of a financial system. During installation, you discover that this system will make a significant number of people redundant. The pe

Write short notes on joint fiction reserve, QUESTION (i) Write short no...

QUESTION (i) Write short notes on each of the following: a) Shelf reading b) Joint Fiction Reserve c) London and South-Eastern Library Region d) Document access

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