Question

this is Discrete mathematics problem.

Translate the following English sentences into propositional formulas. Remember to
def ne your atomic propositions!
(a) Either the suspect wore gloves, or he didn't touch the doorknob.
(b) I will eat my tie if the Cubs win the World Series.
(c) It smelled funny, but he ate it anyway.
(d) The people will give up their arms only when the tyrant resigns and we get our
money back.
(e) All prizes will be awarded provided that a su cient number of eligible entries are
received.
(f) The absence of antibodies in the subject's body implies that they are not susceptible
to infection.
(g) Participants were not timed on this task; however, most finished in less than 8
minutes.
(h) The printer can hold a black ink cartridge or a color cartridge, but not both.
(i) Only if a person has a real desire to want to change and puts forth real e ort to
make those changes do they come about.
(j) The existence of a Lyapunov function is a necessary and su cient condition for the
stability of the system.

(k)The new regulation does not apply unless both houses vote to impose it.

I got a wrong answer for many of case, and English is not my first language, so it is little hard to understand concept.

please help me.

Answer 1