International Journal of Computational Intelligence Systems

Volume 8, Issue 1, January 2015, Pages 34 - 43

α-Minimal Resolution Principle For A Lattice-Valued Logic

Authors
Hairui Jia, Yang Xu, Yi Liu, Jun Liu
Corresponding Author
Hairui Jia
Received 16 October 2013, Accepted 2 April 2014, Available Online 1 January 2015.
DOI
https://doi.org/10.2991/ijcis.2015.8.1.3How to use a DOI?
Keywords
Automated reasoning, lattice-valued propositional logic LP(X), lattice-valued first-order logic LF(X), α-minimal resolution principle, α-minimal resolution group
Abstract
Based on the academic ideas of resolution-based automated reasoning and the previously established research work on binary α-resolution based automated reasoning schemes in the framework of lattice-valued logic with truth-values in a lattice algebraic structure-lattice implication algebra (LIA), this paper is focused on investigating α-n(t)-ary resolution based dynamic automated reasoning system based on lattice-valued logic based in LIA. One of key issues for α-n(t)-ary resolution dynamic automated reasoning is how to choose generalized literals in each resolution. In this paper, the definition of α-minimal resolution principle which determines how to choose generalized literals in LP(X) is introduced firstly, as well as its soundness and completeness being proved. α-minimal resolution principle is then further established in the corresponding lattice-valued first-order logic LF(X) along with its soundness theorem, lifting lemma and completeness theorem. These results lay the theoretical foundation for research of α-n(t)-ary resolution dynamic automated reasoning.
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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
8 - 1
Pages
34 - 43
Publication Date
2015/01/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
https://doi.org/10.2991/ijcis.2015.8.1.3How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Hairui Jia
AU  - Yang Xu
AU  - Yi Liu
AU  - Jun Liu
PY  - 2015
DA  - 2015/01/01
TI  - α-Minimal Resolution Principle For A Lattice-Valued Logic
JO  - International Journal of Computational Intelligence Systems
SP  - 34
EP  - 43
VL  - 8
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2015.8.1.3
DO  - https://doi.org/10.2991/ijcis.2015.8.1.3
ID  - Jia2015
ER  -