1. (25 pts) Brenda, Anthony, and C are accused of During theinterrogation they make the following claims:
Brenda says: “If Anthony is guilty then Charles is guiltytoo”.
Anthony says: “Brenda did it and Charles is innocent”.
Charles says: “I did not do it. One of the others, or maybe bothof them did it”
(a) Write a formula in propositional logic than represents theconjunction of the three above claims using the following atomicpropositions:
B: Brenda is guilty.
A: Anthony is guilty.
C: Charles is guilty
(b) Are the three above statements contradictory? Justify.
(c) Assuming that all of them are guilty, who lied during theinterrogation? Justify.
(d) Assuming that nobody lied,
OR
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