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CSE15- Lab 3 Discrete Mathematics Solved

Introduction
In this lab we continue to practice our Python programming skills by adding further functionality to our library of propositional logic tools.

Consistency of System Descriptions
Write a Python program that asks the user to enter a system description as a series of propositions. Determine whether or not the description is consistent and print a message to that effect. Your user experience should be along the lines of the following:

Enter a proposition: p and q

Would you like to enter more (Y/N): Y

Enter a proposition: p - q Would you like to enter more (Y/N): N Your description is consistent.

Save your program in a file and upload it under the appropriate CatCourses assignment page.

Descriptive System Descriptions
Extend the functionality of your program from the last question by allowing the user to assign a meaning to all the propositional variables. If the user has entered a consistent description, your program should also outline the conditions that satisfy consistency. For example:

Enter a proposition: -p

Would you like to enter more (Y/N): Y

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Enter a proposition: -q

Would you like to enter more (Y/N): Y

Enter a proposition: p <- q

Would you like to enter more (Y/N): N

Your propositions contain the following variables: [’p’, ’q’]:

Enter meaning of p: John is a Knight

Enter meaning of q: James is a Knight Your description is consistent when:

It is not the case that John is a Knight

It is not the case that James is a Knight

Save your program in a file and upload it under the appropriate CatCourses assignment page.

Hint: To get a list of all the variables used in the propositions the user enters, simply make a truth table for the propositions. Say your truth table is called myTruthTable, then the list of variables occurring in all the propositions is myTruthTable.vars

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