Prove it by using truth table. a. a is valid if and only if True = a. b. a l= ß if and only if the sentence (a valid. B) is c. For any a, False |= a. d. a = B if and only if the sentence (a + B) is valid. e. a l= B if and only if the sentence (a ^ ¬B) is unsatisfiable. %3D
Prove it by using truth table. a. a is valid if and only if True = a. b. a l= ß if and only if the sentence (a valid. B) is c. For any a, False |= a. d. a = B if and only if the sentence (a + B) is valid. e. a l= B if and only if the sentence (a ^ ¬B) is unsatisfiable. %3D
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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SOLVE d and e part only
Transcribed Image Text:Prove it by using truth table.
a. a is valid if and only if True |= a.
b. a
valid.
%3D
Bif and only if the sentence (a → B) is
c. For any a, False |= a.
d. a = B if and only if the sentence (a A B) is valid.
e. a |= B if and only if the sentence (a ^ ¬B) is
unsatisfiable.
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