crl 1 (v* r ! x 1?a.x) ): v a ? h ) -l (3x ?Qctl:_ V ,r - PDF document

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TABLE I Rules oflnference. Name of Inference Rule Taulolog) --> q)l '-, q ponens Modus lp n @ P ' + q . q S)i '-> -P tollens l-q n Qt --> Modus ^@ --> '-+ r) Hypotherical l(p - S) r\l'-, Q) ryl P - - r q I q - - r / 51i!e7"ila q Disjunctive sylk l@vq1/\-pl'- P v q 't7 iiarl i2u1 Addidon p ' - > ( ? v q ) ' . q P v Simplification ^q)'+ p p ^ q \P ,. p --, (1, ^ q) Conjuncljon ^ @)j l(p) q r)l --> (q v r) Resolution ^ (-p Y l(p v q) P Y q - p v r '. v r s h t he h7 h.Il n (1nt )+e hp 'lc,'tt g<*eJ.tAy !-.El . t € Y4

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for Qualtified StatemeDts TABLE 2 Rules of Inference Name Rule oflnference gorralizatrbn Universbl 3rP(;r), Exislential inslanliatioil '. P(c) for some element c P(c) for some elemenl c '. lrP(r) 1.3