α-input and α-unit resolution methods for generalized horn clause set in LV(n×2)F(X)

Xing Xing He; Yang Xu; Ying Fang Li; Jun Liu

α-input and α-unit resolution methods for generalized horn clause set in L_V(n×2)F(X)

Xing Xing He, Yang Xu, Ying Fang Li, Jun Liu

Research output: Contribution to journal › Article › peer-review

Abstract

α-Input resolution and α-unit resolution for generalized Horn clause set are discussed in linguistic truth-valued lattice-valued first-order logic (L_V(n×2)F(X)), which can represent and handle uncertain linguistic values-based information. Firstly the concepts of α-input resolution and α-unit resolution are presented, and the equivalence of them is shown. Then α-input (α-unit) resolution is equivalently transformed from L_V(n×2)F(X) into that of L_nP(X), and their soundness and completeness are also established. Finally an algorithm for α-unit resolution is contrived in L_nP(X).

Original language	English
Pages (from-to)	66-70
Number of pages	5
Journal	Journal of Donghua University (English Edition)
Volume	29
Issue number	1
Publication status	Published (in print/issue) - Feb 2012

Keywords

Generalized Horn clause set
Linguistic truth-valued lattice-valued logic
α-input resolution
α-unit resolution

Cite this

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abstract = "α-Input resolution and α-unit resolution for generalized Horn clause set are discussed in linguistic truth-valued lattice-valued first-order logic (LV(n×2)F(X)), which can represent and handle uncertain linguistic values-based information. Firstly the concepts of α-input resolution and α-unit resolution are presented, and the equivalence of them is shown. Then α-input (α-unit) resolution is equivalently transformed from LV(n×2)F(X) into that of LnP(X), and their soundness and completeness are also established. Finally an algorithm for α-unit resolution is contrived in LnP(X).",

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AB - α-Input resolution and α-unit resolution for generalized Horn clause set are discussed in linguistic truth-valued lattice-valued first-order logic (LV(n×2)F(X)), which can represent and handle uncertain linguistic values-based information. Firstly the concepts of α-input resolution and α-unit resolution are presented, and the equivalence of them is shown. Then α-input (α-unit) resolution is equivalently transformed from LV(n×2)F(X) into that of LnP(X), and their soundness and completeness are also established. Finally an algorithm for α-unit resolution is contrived in LnP(X).

KW - Generalized Horn clause set

KW - Linguistic truth-valued lattice-valued logic

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KW - α-unit resolution

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ER -

α-input and α-unit resolution methods for generalized horn clause set in L_V(n×2)F(X)

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