{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

exercise1 - A 1 4 List all proper non-atomic sub-formulas...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
CSE541 EXERCISE 1 SOLVE ALL PROBLEMS as PRACTICE and only AFTER look at the SOLUTIONS!! Please write solutions very carefully. The grade you receive on TESTS depends not only on the fact that you SOLVE the problem, but also (30%) on elegance of your solution. Use examples from the book as a learning material of how to write solutions properly QUESTION 1 Describe a difference between logical and semantical paradoxes. QUESTION 2 1. Write the following natural language statement: From the fact that it is possible that Chris is not a boy we deduce that it is not possible that Chris is not a boy or, if it is possible that Chris is not a boy, then it is not necessary that Anne is pretty. as a formula (i) A 1 ∈ F 1 of a language L , C , I , , , ⇒} , (ii) A 2 ∈ F 2 of a language L , , , ⇒} . 2. Degree of the formula A 1 is: , degree of the formula A 2 is: 3. List all proper, non-atomic sub-formulas of
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: A 1 . 4. List all proper, non-atomic sub-formulas of A 2 are: 5. Find a model (restricted) and a restricted counter-model for A 2 (classical semantics). Use short-hand notation. Show work. 6. There are possible counter-models restricted to A 2 . 7. There possible models restricted to A 2 . (Don’t need to list them, just justify your answer). 8. List 3 models and 3 counter-models for A 2 by extending the restricted model and the counter-model you have found in 4. to the set V AR of all variables. 9. There are possible models for A 2 . There are possible counter-models for A 2 . QUESTION 3 Show that | = ( ¬ (( a ∩ ¬ b ) ⇒ (( c ⇒ ( ¬ f ∪ d )) ∪ e )) ⇒ (( a ∩ ¬ b ) ∩ ( ¬ ( c ⇒ ( ¬ f ∪ d )) ∩ ¬ e ))) . 1...
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