Sentence examples for complete theorem from inspiring English sources

Relevance sets may be utilized with arbitrary complete theorem proving strategies in a completeness-preserving manner.

First we complete Theorem 2.2.

This is necessary when we extend the local solution to all positive time in Section 4, and thus complete Theorem 1.1.

Finally, notice that the fixed point technique developed in [6] uses the fact that the extended dual complexity space ((mathcal{C}, e_{mathcal{C}})) is right K-sequentially complete (Theorem 4 in [6]).

By the time the full equation is presented, the reader will be comfortable with all the necessary concepts for understanding the complete theorem.

That CCP is coNP-complete follows directly from the fact that the problem of determining whether sat E is true is coNP-complete (Theorem 1 in [4]), and the problem of determining whether sat F is true is in P (Theorem 1).

Using the argument as in Step 1 one completes Theorem 2.2 for s ∈ ( 2, 3 ).

From this characterization, we prove that the VAFFP is NP-complete (Theorem 2 below) and give an exact algorithm for solving the problem.

Our contributions are as follows: We study the problem of computing the RF distance between two mul-trees, and show that it is NP-complete (Theorem 1).

Let X = Q ∩ [ 0, ∞ ) with the partial metric p ( x, y ) = max { x, y }. Then ( X, p ) is a 0-complete partial metric space which is not complete. Theorem 5 ([6]).

Thus we complete the Theorem 1.1.