Select all that are true. Ua) Given a propositional formula O on n variables, it is always possible to determine whether is a tautology. O b) Given a sentence in predicate logic , if we apply an "equivalence rule" to produce an equivalent sentence , it is possible that evalutes to T' but evalutes to F, or vice-versa.

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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Select all that are true.
a) Given a propositional formula O on n variables, it is always possible to
determine whether is a tautology.
U b) Given a sentence in predicate logic , if we apply an "equivalence rule" to
produce an equivalent sentence p, it is possible that p evalutes to T but
evalutes to F, or vice-versa.
Oc) Given a propositional formula y, if we apply an "equivalence rule" to produce
an equivalent formula , it is possible that p evaluates to T on some truth
assignment but evaluates to F on the same truth assignment, or vice-
versa.
Od) Given two propositional formulas P and on (the same) n variables, it is
always possible to determine whether P and are (logically) equivalent.
Transcribed Image Text:Select all that are true. a) Given a propositional formula O on n variables, it is always possible to determine whether is a tautology. U b) Given a sentence in predicate logic , if we apply an "equivalence rule" to produce an equivalent sentence p, it is possible that p evalutes to T but evalutes to F, or vice-versa. Oc) Given a propositional formula y, if we apply an "equivalence rule" to produce an equivalent formula , it is possible that p evaluates to T on some truth assignment but evaluates to F on the same truth assignment, or vice- versa. Od) Given two propositional formulas P and on (the same) n variables, it is always possible to determine whether P and are (logically) equivalent.
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