Automated reasoning algorithm based on lattice-valued first-order logic LF(X)
Yang Xu
Abstract
Yang Xu
Abstract
Resolution reasoning method based on predicate logic is one of methods which are well-developed and can be implemented on computer.In order to solve automated reasoning based on resolution principle in lattice-valued first-order logic,a resolution automated reasoning algorithm based on α-resolution principle in lattice-valued first-order logic is proposed by analyzing an example.Its soundness and completeness are proved.
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Resolution reasoning method based on predicate logic is one of methods which are well-developed and can be implemented on computer.In order to solve automated reasoning based on resolution principle in lattice-valued first-order logic,a resolution automated reasoning algorithm based on α-resolution principle in lattice-valued first-order logic is proposed by analyzing an example.Its soundness and completeness are proved.
Key concepts: Soundness, Automated reasoning, Predicate logic, First-order logic, Completeness (order theory), Computer science, Algorithm, Second-order logic