Using rules of inference, laws of logical equivalences, and other definitions taught in class, show that the premises conclude with “It is not true that “If I turn in my homework, then I will go to sleep early”” Be sure to define all propositional variables for full credit. Remember, it is possible that you will use all premises, but it is also possible that some are not needed. a.) Today is Friday and Papa Johns is on fire. b.) I will win a chess match if today is a Friday or I do not watch a movie. c.) I sleep early only if I do not win a chess match. d.) I will get to class on time and turn in my homework if I do not sleep early. e.) Papa Johns is not on fire if and only if I do not turn in my homework. f.) Domino’s is not on fire today.
Using rules of inference, laws of logical equivalences, and other definitions
taught in class, show that the premises conclude with “It is not true that
“If I turn in my homework, then I will go to sleep early”” Be sure to
define all propositional variables for full credit. Remember, it is possible
that you will use all premises, but it is also possible that some are not
needed.
a.) Today is Friday and Papa Johns is on fire.
b.) I will win a chess match if today is a Friday or I do not watch a
movie.
c.) I sleep early only if I do not win a chess match.
d.) I will get to class on time and turn in my homework if I do not sleep
early.
e.) Papa Johns is not on fire if and only if I do not turn in my homework.
f.) Domino’s is not on fire today.
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