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On the completeness of linear strategies in automatic consequence finding Minicozzi, Eliana

Abstract

The problem of the automatic generation of logical consequences of a set of axioms is examined. The merging subsumption linear strategy has been shown complete with respect to that problem. A generalization of a set of support strategy is given, and the completeness of merging subsumption linear strategy with set of support is proved. The merging-linear-A-ordered strategy and the merging linear-C-ordered strategy have been shown to be incomplete. Relations between unit strategy and input strategy have been examined. A little review of the ‘interesting theorem’ is given.

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