A. For each of the following arguments, it is possible to provide a formal proof of validity by adding just three statements to the premises. Writing these out, carefully and accurately, will strengthen your command of the rules of inference, a needed preparation for the construction of proofs that are more extended and more complex. 1. A(BA) AC B 3. (HI)(HJ) H(IJ) IJ *5. N[(NO)P] NO P 2. (DE)(FG) D F 4. (KL)M KL K[(KL)M] 6. QR RS S QR Methods of Deduction 7. TU VU VW T 9. (AB)C CD A D 11. (HI)(JK) KH K I 13. (PQ)(QP) RS PR QS 8. XY ZX X YZ *10. EF F(EG) E G 12. L(MN) L(NO) L MO 14. (TU)(VW) (UX)(WY) T XY *15. (ZA)B BA (BA)(AB) (ZA)(AB)