I am looking for help with Predicate and Quantitative Logic.
Provide proofs for the attached 4 problems using the 9 rules of inference, the 10 rules of replacement and Quantitative logic.
The 9 rules of inference; Modus Pollens (MP); Modus Tollens (MT); Hypothetical Syllogism (HS);
Disjunctive Syllogism (DS); Constructive Dilemna (CD); Absorption (Abs); Simplification (Simp);
Conjuction (Conj); and Addition (Add)
The 10 rules of replacement: DeMorgans Theorems (DeM); Commutation (Com); Association (Assoc);
Distribution (Dist);Double Negation (DN); Transposition (Trans); Implication (Impl);
Equivalence (Equiv); Exportation (Exp); and Repetition (Rep)
Quantification Logic: Universal Instantiation (UI); Universal Generalization (UG); Existential
Generalization (EG); Existential Instantiation (EI) and Change of Quantifier Rules (CQ)
1. ~(3x) (Ax & ~Bx)
2. ~(3x) (Bx & ~Cx) / (x) (Ax > Cx)
1. (3x) (~Hx) > (x) (Ax > Bx)
2. ~(x) (Hx v Bx) / (3x) ~Ax
1. (3x) (Px v Gx) > (x) Hx
2. (3x) (~Hx) / (x) (~Px)
Provides completed proofs for four predicate / quantitative logic proofs.