September 2002
Intermediate to advanced
560 pages
13h 16m
English
book
VRRP: Increasing Reliability and Failover with the Virtual Router Redundance Protocol
by Ayikudy Srikanth, Adnan Adam Onart
Content preview from VRRP: Increasing Reliability and Failover with the Virtual Router Redundance Protocol
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E.2. Logical Laws and Equivalences Used in the Discussions
Propositional Logic
| (2) p → q ≡ ¬q → ¬p | Transposition |
| (3) p ↔ q ≡ ¬p ↔ ¬q | Negating Biconditionals |
| (4) (p → q) ∧ (q → p) ≡ p ↔ q | Biconditional and Conjunction |
| (5) p ↔ q ≡ (p ∧ q ) ∨ (¬p ∧¬q) | Biconditional and Disjunction |
| (6) p → q ≡ ¬p ∨ q | Conditional and Disjunction |
| (7) ¬ (p ∧ q) ≡ ¬p ∨ ¬q | DeMorgan Law |
| (8) ¬ (p ∨ q) ≡ ¬p ∧ ¬q | DeMorgan Law |
| (9) ¬¬p ≡ p | Double Negation |
| (10) p → q ≡ ¬(p ∧ ¬q) | Conditional and Negated Conjunction |
| (11) p ∨ q ≡ ¬(¬p ∧ ¬q) | DeMorgan with Double Negation |
| (12) p ∧ (q ∨ r) ≡ (p ∧ q) ∨ (p ∧ r) | Conjunctive Distribution |
| (13) p ∧ q ≡ p ∧ q | Commutativity of Conjunction |
| (14) p ∨ (p ∧ q) ≡ p | Special Idempotent |
First-Order Predicate Logic
| (15) ¬∀x F(x) ≡ ∨ ∃x¬F(x) | Universal ... |
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