Convert the following formula into CNF. Write your answers in set notation, using ! as nega- tion. For example, the formula: (QVPVR) A(-PVQ) would be written as: ((P, Q, R), (!P,Q)) (don't forget the outer curly brackets). IMPORTANT: to make sure the auto-grading function works cor- rectly, please use the following rule on the order of the literals and clauses: 1) within each clause, order the literals alphabetically, e.g., write (!P, Q, R) instead of (Q, !P, R), and 2) order the clauses alpha- betically, e.g., write ((!P,Q,R), (Q, R, S)) because the string PQR is before the string QRS in the alphabetical order. If the clauses contain the same propositions, then the one with no negation! has the priority, e.g. write ((P, !Q), (!P,Q)) instead of ((!P,Q), (P, !Q)). i. -PV (QA-R) ii. (PVQ) AR iii. -P+Q in 10 L Dysy R))
Convert the following formula into CNF. Write your answers in set notation, using ! as nega- tion. For example, the formula: (QVPVR) A(-PVQ) would be written as: ((P, Q, R), (!P,Q)) (don't forget the outer curly brackets). IMPORTANT: to make sure the auto-grading function works cor- rectly, please use the following rule on the order of the literals and clauses: 1) within each clause, order the literals alphabetically, e.g., write (!P, Q, R) instead of (Q, !P, R), and 2) order the clauses alpha- betically, e.g., write ((!P,Q,R), (Q, R, S)) because the string PQR is before the string QRS in the alphabetical order. If the clauses contain the same propositions, then the one with no negation! has the priority, e.g. write ((P, !Q), (!P,Q)) instead of ((!P,Q), (P, !Q)). i. -PV (QA-R) ii. (PVQ) AR iii. -P+Q in 10 L Dysy R))
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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q2 (d)
Solve all parts plz according to question requirements and take a thumb up plz
Transcribed Image Text:Convert the following formula into CNF. Write your answers in set notation, using! as nega-
tion. For example, the formula: (QV PVR) A(-P VQ) would be written as: {{P, Q, R), (!P,Q}}
(don't forget the outer curly brackets). IMPORTANT: to make sure the auto-grading function works cor-
rectly, please use the following rule on the order of the literals and clauses: 1) within each clause, order
the literals alphabetically, e.g., write (!P, Q, R) instead of (Q, !P, R), and 2) order the clauses alpha-
betically, e.g., write (!P,Q,R), (Q, R, !S}} because the string PQR is before the string QRS in the
alphabetical order. If the clauses contain the same propositions, then the one with no negation! has the
priority, e.g. write {{P, !Q), (!P,Q)) instead of {{!P,Q), (P, !Q)).
i. -PV (QA-R)
ii. (PVQ) AR
iii. -P→ Q
iv. (Q→ (PVSV-R))
v. (R→S) V-(QV-P)
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