hw1 - CMPSC 360 Discrete Mathematics for Computer Science...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
CMPSC 360 Discrete Mathematics for Computer Science Fall 2009 Penn State University Assignment #1 Due: 31 August 1. Using propositional symbols R, S, T to stand for Rico, Sal, and Tony working, and O to stand for the shop being open, represent each of the following statements as propositional formulae: (a) Rico works whenever the shop is open. (b) At least two of them are working if the shop is open. (c) Tony and Sal work together. (d) If Rico only works when Tony works, then Sal works alone. 2. Use De Morgan’s laws to write negations of the following statements: (a) Either Sal or Tony is working. (b) Tony never works when the shop is open. (c) One of them is working. (d) Rico never works alone. 3. Let A, B, C stand for the propositions “Ann is a teacher,” “Ann is rich,” and “Ann is a movie star.” Now consider the three statements “Ann is a teacher,” “It is false that Ann is a teacher and Ann is rich,” and “If Ann is a movie star then Ann is rich.” Assume we wish to show that these three statements imply that it is false that Ann is a movie star. Give the required
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern