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Questions Bank (1447386 total)
Which of the following is a tautology?
p ∨ ¬p
67%
¬(p ∨ q)
0%
p ∧ ¬p
0%
p → ¬p
0%
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What is the purpose of inference rules in propositional logic?
To negate a given statement
0%
To determine if a statement is true or false
0%
To deduce new statements from known statements
100%
To compare two statements
0%
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A statement s2 is a logical consequence of s1 if _______.
s1 and s2 are always false
0%
s2 implies s1
0%
s1 and s2 have different truth values
0%
s2 is true for all interpretations that satisfy s1
100%
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Two statements s1 and s2 are equivalent if _________.
One implies the other but not vice versa
0%
They have different truth values for some interpretations
0%
They have the same truth value for every interpretation
100%
They are always false
0%
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A statement having at least one interpretation for which it is true is called ___.
Unsatisfiable
0%
Tautology
0%
Satisfiable
0%
Valid
0%
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A statement that is true for all values of inputs or for every interpretation is called a ___.
Unsatisfiable statement
0%
Logical consequence
0%
Contradiction
0%
Valid statement
100%
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Which of the following represents "It is raining if and only if Mary is sick"?::
p ↔ q
100%
p ∨ q
0%
p → q
0%
p ∧ q
0%
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What is the correct representation for "If it is raining, then Mary is sick"?
p ↔ q
0%
p ∨ q
0%
p → q
100%
p ∧ q
0%
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Which of the following represents "It is raining or Mary is sick"?
¬p
0%
p ∨ q
100%
p → q
0%
p ∧ q
0%
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Which of the following is NOT a type of uninformed search?
Depth-First Search (DFS)
0%
Breadth-First Search (BFS)
0%
Depth-Limited Search (DLS)
0%
Best-First Search
0%
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