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{ 5. Truthfulness gives rise to propositional operation. }
not p :=
p := boolean.
-> p ?
true -> false.
false -> true.
p and q :=
p, q := boolean.
-> p ?
true -> q.
false -> false.
p or q :=
p, q := boolean.
-> p ?
true -> true.
false -> q.
p xor q :=
p, q := boolean.
-> (p or q) and not (p and q).TT
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