Title | ||
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Alpha-Generalized Lock Resolution Method In Linguistic Truth-Valued Lattice-Valued Logic |
Abstract | ||
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This paper focuses on e fficient non-clausal resolution-based automated reasoning methods and algorithms for a lattice-ordered linguistic truth-valued logic, which corresponds to extensions of alpha-lock resolution. Firstly, alpha-generalized lock resolution is proposed for lattice-valued propositional logic and first order logic, respectively, along with their concepts, soundness and completeness. Then, alpha-generalized lock resolution for first order linguistic truth-valued lattice-valued logic LV(nx2)F(X) is equivalently transformed into that for propositional logic LnP(X), which can greatly reduce the complexity of the resolution procedure. Finally, alpha-generalized linear semi-lock resolution is discussed, and its general algorithm is also contrived. This work provides more efficient and natural resolution automated reasoning scheme in linguistic truth-valued logic based on lattice implication algebra with the aim at establishing formal tools for symbolic natural language processing. |
Year | DOI | Venue |
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2012 | 10.1080/18756891.2012.747665 | INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS |
Keywords | Field | DocType |
Non-clausal resolution, alpha-Generalized lock resolution, alpha-Generalized linear semi-lock resolution, Linguistic truth-valued lattice-valued logic, Lattice implication algebras | Automated reasoning,Zeroth-order logic,Propositional calculus,First-order logic,Resolution (logic),Soundness,Linguistics,Completeness (statistics),Mathematics,Intermediate logic | Journal |
Volume | Issue | ISSN |
5 | 6 | 1875-6883 |
Citations | PageRank | References |
3 | 0.43 | 20 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
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Xingxing He | 1 | 84 | 13.90 |
Yang Xu | 2 | 711 | 83.57 |
Jun Liu | 3 | 419 | 23.08 |
Shuwei Chen | 4 | 121 | 12.14 |