In 1975, R. A. Kowalski introduced the connection graph proof procedure, and in 1981 W. Bibel proved that it is complete and sound. The purpose of this paper is to show concrete examples of completeness and soundness in propositional logic. Two examples are given. One is an example of completeness, and the other is an example of soundness. The reason why they are concrete examples is discussed. When those two examples are generalised, then it is proven that the connection graph proof procedure is complete and sound. However, the proof is not shown in this paper
This report continues to document the development of a logic programming paradigm with implicit cont...
AbstractThis short note is an application of some theorems of graph theory to the problem of the min...
AbstractCurtis and Lowe (S. Curtis, G. Lowe, Proofs with graphs, Sci. Comput. Program. 26 (1996) 197...
Kowalski's connection graph method provides a representation for logic programs which allows for the...
The integration of a Knuth-Bendix completion algorithm into a paramodulation theorem prover on the b...
We present a uniform procedure for proof search in classical logic, intuitionistic logic, various mo...
A comprehensive survey of proper connection of graphs is discussed in this book with real world appl...
AbstractCompared to most of the other resolution-based proof procedures, the connection graph proof ...
Proofs are traditionally syntactic, inductively generated objects. This paper presents an abstract m...
International audienceWe give a connection-based characterization of validity in propositional bi-in...
International audienceWe present a formal proof of the classical Tarjan-1972 algorithm for finding s...
AbstractLinear logic (LL) is the logical foundation of some type-theoretic languages and also of env...
The proof of completeness for propositional logic is a constructive one, so a computer program is su...
Connect++ is an automated theorem prover for first-order logic with equality, based on the clausal c...
Article dans revue scientifique avec comité de lecture.Linear logic (LL) is the logical foundation o...
This report continues to document the development of a logic programming paradigm with implicit cont...
AbstractThis short note is an application of some theorems of graph theory to the problem of the min...
AbstractCurtis and Lowe (S. Curtis, G. Lowe, Proofs with graphs, Sci. Comput. Program. 26 (1996) 197...
Kowalski's connection graph method provides a representation for logic programs which allows for the...
The integration of a Knuth-Bendix completion algorithm into a paramodulation theorem prover on the b...
We present a uniform procedure for proof search in classical logic, intuitionistic logic, various mo...
A comprehensive survey of proper connection of graphs is discussed in this book with real world appl...
AbstractCompared to most of the other resolution-based proof procedures, the connection graph proof ...
Proofs are traditionally syntactic, inductively generated objects. This paper presents an abstract m...
International audienceWe give a connection-based characterization of validity in propositional bi-in...
International audienceWe present a formal proof of the classical Tarjan-1972 algorithm for finding s...
AbstractLinear logic (LL) is the logical foundation of some type-theoretic languages and also of env...
The proof of completeness for propositional logic is a constructive one, so a computer program is su...
Connect++ is an automated theorem prover for first-order logic with equality, based on the clausal c...
Article dans revue scientifique avec comité de lecture.Linear logic (LL) is the logical foundation o...
This report continues to document the development of a logic programming paradigm with implicit cont...
AbstractThis short note is an application of some theorems of graph theory to the problem of the min...
AbstractCurtis and Lowe (S. Curtis, G. Lowe, Proofs with graphs, Sci. Comput. Program. 26 (1996) 197...