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Validitas Kalimat Preposisi

Validitas Kalimat Preposisi. Logika Informatika Teknik Informatika STTA 2013. Contoh Soal 1. Buktikan validitas preposisi A : if ((not x) or (not y)) then (not(x and y)) A : A1  A2 (~ x  ~ y)  ~ (x  y). Pembuktian Validitas.

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Validitas Kalimat Preposisi

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  1. ValiditasKalimatPreposisi LogikaInformatika TeknikInformatika STTA 2013

  2. ContohSoal 1 BuktikanvaliditaspreposisiA : if ((not x) or (not y)) then (not(x and y)) A : A1  A2 (~ x  ~ y)  ~ (x  y)

  3. PembuktianValiditas ValiditasPreposisidapatdilakukandenganmengasumsikanpreposisitersebut SALAH!!

  4. PenyelesaianContohSoal 1 • Bentukkalimatimplikasi A : A1  A2 (~ x  ~ y)  ~ (x  y) • Misalkan A diasumsikansalah yang berarti : • Antsenden/premis/hipotesis A1 benar (~ x  ~ y) = T • Konklusi/konsekuen A2 salah ~ (x  y) = F

  5. PenyelesaianContohSoal 1 • Dimulaidarikonklusidulu (A2 = F)  periksaapakahhipotesisnya (A1 = T) ? • Dimulaidarihipotesisnyadulu (A1 = T)  periksaapakahkonklusinya (A2 = F) ?

  6. Cara a. • Konklusi A2 : ~ (x  y) = F  (x  y) = T supaya (x  y) = T maka x = T dan y =T • Periksahipotesis A1 : (~ x  ~ y) = F  F = F seharusnya A1 = T • Asumsi A = F tidakpernahterjadi preposisiA valid

  7. Cara b. • Hipotesis A1 = (~ x  ~ y) = T, adabeberapakemungkinan :

  8. ContohSoal 2 BuktikanvaliditaspreposisiB : (if x then y) if and only if ((not x) or y) Bentukkalimat B biimplikasi B1 B2 (x  y)  (~x  y)

  9. Kerjakan! • BuktikanvaliditaspreposisiC : if (if x then y) then (if (not x) then (not y))

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