Question

#1. Use propositional logic to prove the following argument is valid. If Alice gets the office...

#1. Use propositional logic to prove the following argument is valid.

If Alice gets the office position and works hard, then she will get a bonus. If she gets a bonus, then she will go on a trip. She did not go on a trip. Therefore, either she did not get the office position or she did not work hard or she was late too many times.

  1. Define your propositions [5 points]:

O =

W =

B =

T =

L =

  1. Write down the logical argument [8 points]:




  1. Proof sequence [12 points]:

Steps: Reason:

1.

2.

3.

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