Question

Express each English statement using logical operations V, Lambda, - 1. and the propositional variables t, n, and m defined below. The use of the word "or" means inclusive or. t: The patient took the medication. n: The patient had nausea. m: The patient had migraines. There is no way that the patient took the medication. a) -n b) -(-m) c) -m d) -t Define the following propositions: s: a person is a senior. y: a person is at least p: a person is allowed to park in the school parking lot Express each of the following English sentence with a logical expression: Being able to park in the school parking lot implies that the person is either a senior or at least 17 years old. a) (s V y) rightarrow p b) p rightarrow (s Lambda y) c) p doubleheadarrow (s Lambda y) d) p rightarrow (s V y) Show whether each logical expression is a tautology, contradiction or neither. [p rightarrow q] a) Neither b) Contradiction c) Tautology Below is a proof showing that two logical expressions are logically equivalent. Select all the laws that are used for the proof below:

Answer 1

1) d) ¬t

2) d) $p \rightarrow s \vee y$

3) contradiction