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use propositional logic to see if the argument is valid   (A ∧ B) ∧ (B → A’) → (C ∧ B’) A ∧ B Hypotheses B → A’ Hypotheses Chart to go off of attached below

use propositional logic to see if the argument is valid   (A ∧ B) ∧ (B → A’) → (C ∧ B’) A ∧ B Hypotheses B → A’ Hypotheses Chart to go off of attached below

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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use propositional logic to see if the argument is valid

 

(A ∧ B) ∧ (B → A’) → (C ∧ B’)

A ∧ B Hypotheses

B → A’ Hypotheses

Chart to go off of attached below

 

Equivalence Rules (Table 1.11) Expression PvQ PAQ (Pv Q) v R (PA Q) AR (Pv Q)' (PA Q)' P→Q Equivalent to QVP QAP Pv (Q v R) ΡA (QΛR P'^Q' P'v Q' P' v Q (P') (P→Q) A (Q→P) Name/Abbreviation for Rule Commutative -- comm Associative - ass DeMorgan's Law -- De Implication -- imp Double negation --dn Definition of equivalence - egu P P-Q Identity properties: PVF+P PAT+P PVT+T PAF+F Complement properties: PVP +T PAP' →F Inference Rules (Table 1.12) From Can Derive Name/Abbreviation for Rule P, P-Q P-Q, Q P, Q PAQ Modus ponens - mp Modus tollens – mt Q P' PAQ P, Q PVQ Conjunction – con Simplification – sim P Addition – add More Inference Rules (Table 1.14) From Can Derive Name/Abbreviation for Rule P - Q. Q-R Pv Q. P P-R Q Q' -P P-Q Hypothetical syllogism – hs Disjunctive syllogism – ds Contraposition – sont Contraposition - cont Self-reference – self P-Q Q' -P PAP PVP P Self-reference – self (PAQ) -R P, P' PA (QV R) Ρv (QΛR) (P - Q) –R Q (PAQ) V (P AR) (Pv Q) A (P v R) Exportation – exp Inconsistency – inc Distributive – dist Distributive – dist
Transcribed Image Text:Equivalence Rules (Table 1.11) Expression PvQ PAQ (Pv Q) v R (PA Q) AR (Pv Q)' (PA Q)' P→Q Equivalent to QVP QAP Pv (Q v R) ΡA (QΛR P'^Q' P'v Q' P' v Q (P') (P→Q) A (Q→P) Name/Abbreviation for Rule Commutative -- comm Associative - ass DeMorgan's Law -- De Implication -- imp Double negation --dn Definition of equivalence - egu P P-Q Identity properties: PVF+P PAT+P PVT+T PAF+F Complement properties: PVP +T PAP' →F Inference Rules (Table 1.12) From Can Derive Name/Abbreviation for Rule P, P-Q P-Q, Q P, Q PAQ Modus ponens - mp Modus tollens – mt Q P' PAQ P, Q PVQ Conjunction – con Simplification – sim P Addition – add More Inference Rules (Table 1.14) From Can Derive Name/Abbreviation for Rule P - Q. Q-R Pv Q. P P-R Q Q' -P P-Q Hypothetical syllogism – hs Disjunctive syllogism – ds Contraposition – sont Contraposition - cont Self-reference – self P-Q Q' -P PAP PVP P Self-reference – self (PAQ) -R P, P' PA (QV R) Ρv (QΛR) (P - Q) –R Q (PAQ) V (P AR) (Pv Q) A (P v R) Exportation – exp Inconsistency – inc Distributive – dist Distributive – dist
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