so basically i have a project about 3 valued logic ie truth=1 false = 0, unknown = 1/2
in a previous project I had to come up with formulae for 2 valued logic as follows:
negation t(~p) = 1-t(p) Conjunction T(p^q) = min[t(p), t(q)] Disjunction T(p V q) = max[t(p), t(q)] Conditional ~p -> q === ~p V q => t(p->q) = t[~pVq] => max[t(~p), t(q)] => max[1-t(p), t(q)] biconditional p<->q === (p->q)^(q->p) => t(p->q) = t[(p->q)^(q->p)] => min[t(p->q), t(q->p) => min[max[1-t(p), t(q)], max[1-t(q), t(p)]]
using this information I have to define the connectives for 3 valued logic. and I dont really know how to do that. this is due tomorrow, please help!!! :(