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Question: Problem 2: Consider the following compound proposition W: P 9 T w T T F TF T TF F F T TIF F TF FFT FF FF HHHHH Table 3: The truth table for W. Show that W is equivalent to a DNF that can be written in the form ( LAT)V_A_). 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Z@>%d1Inp`:'!Ec?Re?7@I=$fB_A2VlP)XNi]<6"6U4V>-c.[eD/ZWhrf,1q5'>>lj%G6X7hQhquG2 /Length 47 0 R 1k%_//(6[lc)gDdW&jM&lpn;#7UjTr_VIg)N&9n#tc647+/FU7:cXWn3Ih71eq;dYf /F1 1 Tf 35 0 obj /Subtype /Type1 u<9*$aa%Y`Na4ah/cnWk*jKEU0=0NQpR5)6QrsSRpc&=1e:C4#2(sZM9po#1'!ip>.T(*D'r>P#5d5 In each case, use a truth table to decide to which of these categories the proposition belongs: a) (p (p q)) q b) ((p q) (q r)) (p r), c) p p d) (p q) (p q) 4.21 The simplest kind of proposition, an elementary proposition, asserts the existence of a state of affairs. BT 19.093 52.069 Td (T) Tj 1.725 0 Td (prop) Tj /Length 53 0 R \$@s=c[0K%H3(Uig80fl]mEnH1\T&SqZf,7e!>?$*!0`8#9dGldR#(-HbP@5o&.7+^W8L(jJujQ/G&dhn d+E2IF$=n9u+>GQ.+>7IPE-670A9Di60ebO/05D\LF`[t$F`8HX0K:1.C`m\>F:)Q$E$-kh3?Ttl+E 8g*96QT21oJ_\X_eS?ofq.A/?FYLHH0PP=-=2j93sR*Bh /F5 1 Tf 3n@;I&bDe!KmFEoJG,p5QnE-ZJo(@:X:oCj@.6AS)9&7W30d:18!N+>6Gf5ts'f+Co%q$854aBl8#lH# "c)0;p+i"7V#rJLB:.>jVlclII/\/)Q0nA_Q^e*[#Kolj,Ut0VPrFLnE[,fg$p;- 0.769 0 Td (!) Q q 1.825 0 Td (,) Tj /F1 1 Tf #@>MD6`XeX_(rg&Asi'BI43\"S? 53c["IS7`!D_lL;L! /Ascend 0 The consent submitted will only be used for data processing originating from this website. 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