Question 1. (8 points) Complete the following table of logic identities (Here, T is true and F is false). Logical Equivalence Law's Name PAT = Identity Laws pVF= PVT= Domination Laws PAF = PVp= Idempotent Laws PAp = (p) = Double Negation Law PVq= Commutative Laws PA9= (PV) Vr= Associative Laws (p Aq) Ar= p V (AI) Distributive Laws PA (9 Vr) - (p ^ q) = De Morgan's Laws - (p V9) - p V (p 9) - Absorption Laws PA (PV) Other useful identities: (These are all done for you.) PV-p=T Negation Laws p-pa F (p +9)=-Va "Implication Law" Question 2. (8 points) Show that ((PV) A p )-9 is a tautology (i.e., always true) using the above identities or by using a true table. If you use identities, label each step with the corresponding Laws applied