{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

rec0517_key - COT 3100 Summer 2001 Recitation 05/17 Logic 1...

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: COT 3100 Summer 2001 Recitation 05/17 Logic 1. Use truth tables to determine which of the following formulas are equivalent to each other: a) ( p ∧ q ) ∨ ( ¬ p ∧¬ q ) b) ¬ p ∨ q c) ( p ∨¬ q ) ∧ ( q ∨¬ p ) d) ¬ ( p ∨ q ) e) ( q ∧ p ) ∨¬ p a) is equivalent to c) b) is equivalent to e) 2. Let p & q be a binary operator NOR, that means neither p nor q . a) Make a truth table for p & q p q p & q 1 1 1 1 1 b) Find a formula using only the connectives ∧ , ∨ , and ¬ that is equivalent to p & q . p & q = ¬ ( p ∨ q )=( ¬ p ) ∧ ( ¬ q ) c) Find formulas using only the connective & that are equivalent to ¬ p , p ∨ q , and p ∧ q . ¬ p = p & p p ∨ q = ¬ ( p & q )=( p & q )& ( p & q ) p ∧ q = ( ¬ p )&( ¬ q )=( p & p )&( q & q ) 3. Use laws of logic to simplify the following formulas: a) ¬ ( ¬ p ∧¬ q ) ¬ ( ¬ p ∧¬ q )= p ∨ q b) ¬ ( ¬ p ∨ q ) ∨ ( p ∧¬ r ) ¬ ( ¬ p ∨ q ) ∨ ( p ∧¬ r )=( p ∧¬ q ) ∨ ( p ∧¬ r )= p ∧ (( ¬...
View Full 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