KB and S1 are two propositional logic statements, that are constructed using symbols A, B, C, and using various connectives. The above truth table shows, for each combination of values of A, B, C, whether KB and S1 are true or false. Part a: Given the above information, does KB entail S1? Justify your answer. Part b: Given the above information, does statement NOT(KB) entail statement NOT(S1)? Justify your answer.

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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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KB and S1 are two propositional logic statements, that are constructed using symbols A, B, C, and using various connectives. The above truth table shows, for each combination of values of A, B, C, whether KB and S1 are true or false.

Part a: Given the above information, does KB entail S1? Justify your answer.

Part b: Given the above information, does statement NOT(KB) entail statement NOT(S1)? Justify your answer.

S1
True
True
True
True
False
False
True
False False False
A
B
C
KB
True True
True True
True True False
False
True False True True
True False False
False
False True
True
False
False True False False
False False True True
False False
Transcribed Image Text:S1 True True True True False False True False False False A B C KB True True True True True True False False True False True True True False False False False True True False False True False False False False True True False False
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