Search & Filtering
11^3+4t= p(mod 10)
Prove that the premises P → Q, Q → R, S → ¬R and P ∧ S are inconsistent.
1.)Determine if the proposition is satisfiable or not by providing any possible combination of inputs that yields a TRUE result.
(p ∧ q) ∨ (¬p ∧¬q)→r
2.)Prove or disapprove the given proposition using a truth table or rules of logic.
¬(¬p ∧ q) ∨ q ⇔ q → p
7. Express these system specifications using the proposi tions p "The message is scanned for viruses" and "The message was sent from an unknown system together with logical connectives (including negations).
a) "The message is scanned for viruses whenever the message was sent from an unknown system." b) "The message was sent from an unknown system but
it was not scanned for viruses. c) "It is necessary to scan the message for viruses when ever it was sent from an unknown system.
d) "When a message is not sent from an unknown system
it is not scanned for viruses.
7. Express these system specifications using the proposi tions p "The message is scanned for viruses" and "The message was sent from an unknown system together with logical connectives (including negations).
a) "The message is scanned for viruses whenever the message was sent from an unknown system." b) "The message was sent from an unknown system but
it was not scanned for viruses. c) "It is necessary to scan the message for viruses when ever it was sent from an unknown system.
d) "When a message is not sent from an unknown system
it is not scanned for viruses.
11•j=1(mod 4). Find j
Which of the following best describes inductive reasoning?
a. Using logic to draw conclusions based on accepted statements
b. Accepting the meaning of a term without definition
c. Defining mathematical terms to correspond with physical objects
d. Inferring a general truth by examining a number of specific examples
Briefly discuss and illustrate the different ways to represent relations
Given: X={1,2,3,4}
R = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 2), (2, 3), (2, 4), (3, 3), (3, 4), (4, 4)}defined by the rule (x, y) ∈R if x ≤y
Let Q (x,) be the statement “the word x contains the letter a.” What are the truth values of the following?
a) P(orange)
b) P(lemon)
c) P(true)
d) P(false)
