The last step is to make the disjunction, which, in these examples, gives the true value of the table. The disjunction is false when both arguments are false; in other cases it is true. Answer and Explanation: We construct the tabl...
A formalization of the tautology problem in terms of matrices is given. From that a generalized matrix reduction method is derived. Its application to a couple of selected examples indicates a relatively efficient behaviour in testing the validity of a given formula in propositional logic—not only...
Combinatorial metatheorems concerning the tautology problem are proved in Section 4. Special partial methods are developed in Sections 6 and 7 which yield efficient solutions to two sets of hard examples which defeat existing methods in the literature. Finally, two general approaches in terms of ...