Advances in Computers, Vol. 24 by PDF

ISBN-10: 0120121247

ISBN-13: 9780120121243

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For such cases a version of the program that checks for closure frequently might be desirable. It is easy to modify our program so that it checks for closure after each application of a Tableau Expansion Rule. First, remove the earlier Prolog clauses for expand, and replace them by the following clauses for expand_and_close: 1* expand_and_close(Tableau) :some expansion of Tableau closes.

V) is a tautology (recall that A and V are duals). U == U is a tautology. ~, we can replace it with T, and so on. 22 2. 1. Put the following formulas into negation normal form: 1. R). 2. ((P T Q) == R). 3. (P == R). 2. Put the propositional formulas of the previous exercise into a negation normal form in which the only binary connectives are 1\ and V. 3. In propositional logic, assume all formulas are built up from propositional letters using only -. and V. Also assume Po is a fixed propositional letter.

1 A tree is finitely branching if each node has a finite number of children (possibly 0). A tree is finite if it has a finite number of nodes; otherwise it is infinite. Likewise, a branch is finite if it has a finite number of nodes; otherwise it is infinite. 1. 1. In each case the displayed pattern is assumed to continue. The tree on the left is finitely branching but infinite. It has an infinite branch. The tree on the right is not finitely branching, every branch is finite, but branches are arbitrarily long.

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Advances in Computers, Vol. 24


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