Add to ORKGEfficiency of the first-order logic proof procedure is a major issue when deduction systems are to be used in real environments, both on their own and as a component of larger systems (e.g., learning systems). This paper proposes a new #-subsumption algorithm that is able to return the set of all substitutions by which such a relation holds between two clauses without performing backtracking. Di#erently from others proposed in the literature, it can be extended to perform resolution, also in theories containing recursive clauses
Deduction chains represent a syntactic and in a certain sense constructive method for proving comple...
A general theory of deduction systems is presented. The theory is illustrated with deduction systems...
An algorithm that stores the prime implicates of a propositional logical formula in a trie was de-ve...
Efficiency of the first-order logic proof procedure is a major issue when deduction systems are to b...
Efficiency of the first-order logic proof procedure is a major issue when deduction systems are to b...
Efficiency of the first-order logic proof procedure is a major issue when deduction systems axe to b...
Abstract. The subsumption theorem is an important theorem con-cerning resolution. Essentially, it sa...
The subsumption theorem is an important theorem concerning resolution. Es-sentially, it says that if...
Several authors have proposed increasingly efficient methods for computing the least general general...
We observe, that subsumption of clauses (in the language of first order logic), so far understood a...
Intelligent reasoners sometimes draw conclusions that lack new or relevant information. Similarly, a...
Top-down and bottom-up theorem proving approaches have each specific advantages and disadvantages. B...
Inference rules for resolution based systems can be classified into deduction rules, which add new o...
Clause subsumption and rule ordering are long-standing research topics in machine learning (ML). Sin...
Part 1. We show that the standard notions of tautology and subsumption can be naturally generalized,...
Deduction chains represent a syntactic and in a certain sense constructive method for proving comple...
A general theory of deduction systems is presented. The theory is illustrated with deduction systems...
An algorithm that stores the prime implicates of a propositional logical formula in a trie was de-ve...
Efficiency of the first-order logic proof procedure is a major issue when deduction systems are to b...
Efficiency of the first-order logic proof procedure is a major issue when deduction systems are to b...
Efficiency of the first-order logic proof procedure is a major issue when deduction systems axe to b...
Abstract. The subsumption theorem is an important theorem con-cerning resolution. Essentially, it sa...
The subsumption theorem is an important theorem concerning resolution. Es-sentially, it says that if...
Several authors have proposed increasingly efficient methods for computing the least general general...
We observe, that subsumption of clauses (in the language of first order logic), so far understood a...
Intelligent reasoners sometimes draw conclusions that lack new or relevant information. Similarly, a...
Top-down and bottom-up theorem proving approaches have each specific advantages and disadvantages. B...
Inference rules for resolution based systems can be classified into deduction rules, which add new o...
Clause subsumption and rule ordering are long-standing research topics in machine learning (ML). Sin...
Part 1. We show that the standard notions of tautology and subsumption can be naturally generalized,...
Deduction chains represent a syntactic and in a certain sense constructive method for proving comple...
A general theory of deduction systems is presented. The theory is illustrated with deduction systems...
An algorithm that stores the prime implicates of a propositional logical formula in a trie was de-ve...