connective
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...
Related questions
Question
5
A. Let * be a new logical connective such that p * q does not hold if and only if p and q are either both false or both true.
(i) Write down the truth table for p * q
(ii) Write down the truth table for (p * p) * (q * q).
(iii) Does the table in (b) coincide with a table in
*Truth table available on the given image*
(By "Coincide" we mean that the respective columns of T and F values are the same)
B. Construct a formula in CNF based on each of the following truth tables:
*Truth table available on the given image*
C. Compute CNF (NNF ( IMPL_FREE ¬(p → ( ¬ (q ∧ ( ¬p → q))))))
Transcribed Image Text:5.
a. Let * be a new logical connective such that p* q does not hold iff p and q are
either both false or both true.
(i) Write down the truth table for p * q.
(ii) Write down the truth table for (p * p) * (q * q).
(iii) Does the table in (b) coincide with a table in
T T
T
T
F
F
T F
T
FT
F
FT
T
F
F
F
FF
F
TT
T
T
F
T
T
F
F
T
F
T
T
F
F
T
(By 'coincide' we mean that the respective columns of T and F values
are the same.)
b. Construct a formula in CNF based on each of the following truth tables:
S
03
T
T
T
F
T
T
F
T
T
F
T
F
F
T
F
T
F
F
T
F
T
F
F
F
F
T
F
F F
F
T
c. Compute CNF (NNF (IMPL_FREE ¬(p → (¬(q ^ (-p → q)))))).
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