The main results of this note are an extension of (1)Definition. Let S be a set of lock clauses, D a linear deduction about empty clause □ from S. Its side clauses are B0, B1,..., Bn-1 and center clauses are C0, C1, ...The main results of this note are an extension of (1)Definition. Let S be a set of lock clauses, D a linear deduction about empty clause □ from S. Its side clauses are B0, B1,..., Bn-1 and center clauses are C0, C1, ...,展开更多
In Ref. [1], a conclusion was reached that input paramodulation refutation and unit paramodulation refutation are equivalent for a set of unit clauses, and a supposition was made that the converse of Theorem 8.4 is al...In Ref. [1], a conclusion was reached that input paramodulation refutation and unit paramodulation refutation are equivalent for a set of unit clauses, and a supposition was made that the converse of Theorem 8.4 is also true. In this note, we shall prove that both the conclusion and the supposition are wrong.展开更多
文摘The main results of this note are an extension of (1)Definition. Let S be a set of lock clauses, D a linear deduction about empty clause □ from S. Its side clauses are B0, B1,..., Bn-1 and center clauses are C0, C1, ...,
基金Project supported by the National Natural Science Foundation of China
文摘In Ref. [1], a conclusion was reached that input paramodulation refutation and unit paramodulation refutation are equivalent for a set of unit clauses, and a supposition was made that the converse of Theorem 8.4 is also true. In this note, we shall prove that both the conclusion and the supposition are wrong.