Abstract
The problem of uniqueness of reconstruction in open logic is dealt with by introducing the concept of total-ordered partitions, an ordering structure for modeling belief degrees of knowledge, and redefining the reconstruction operation. Based on the resulting definition, a nontrivial condition for the convergency of cognitive processes is given. It is shown that if new knowledge is not always accepted with an extremely skeptical attitude and the changes of belief degrees follow the criterion of minimal changes, the cognitive process will converge. The results provide an approach to unifying two kinds of theories for knowledge base maintenance: belief revision and open logic.
Similar content being viewed by others
References
Li Wei, An open logic system,Science in China (in Chinese), Ser. A, 1992, (10): 1103.
Alchourrón C. E., Gärdenfors, P., Makinson, D., On the logic of theory change: partial meet contraction and revision functions,The Journal of Symbolic Logic, 1985, 50(2): 510.
Gärdenfors, P.,Knowledge in Flux: Modeling the Dynamics of Epistemic States, Cambridge: MIT Press, 1988.
Li Wei, A logical framework for knowledge base maintenance,Journal of Computer Science and Technology, 1995, 10 (3): 193.
Zhang Dongmo, Belief revision by sets of sentences,Journal of Computer Science and Technology, 1996, 11(2): 108.
Zhang Dongmo, Chen Shifu, Zhu Wujia et al. Representation theorems for multiple belief changes, inProc. 15th Int. Joint Conf. on Artificial Intelligence (IJCAI-97), Nagoya, Japan, August 1997, New York: Morgan Kaufmann, 1997, 89–94.
Zhang Dongmo, Chen Shifu, Zhu Wujia et al., Nonmonotonic reasoning and multiple belief revision, inProc. 15th Int. Joint Conf. on Artificial Intelligence (IJCAI-97), Nagoya, Japan, August 1997, New York: Morgan Kaufmann, 1997, 95–100.
Nebel, B., Syntax based approaches to belief revision, inBelief Revision (ed. Gärdenfors, P.), Cambridge: Cambridge University Press, 1992, 52–88.
Gärdenfors, P., Belief revision: an introduction, inBelief Revision (ed. Gärdenfors, P.), Cambridge: Cambridge University Press, 1992, 1–28.
Boutilier, C., Revision sequences and nested conditionals, inProc. 13th Int. Joint Conf. on Artificial Intelligence (IJCAI-93), Chambery, Savoie, France, August 1993, New York: Morgan Kaufmann, 1993, 519–525.
Williams, M. A., Iterated theory base change: a computational model, inProc. 14th Int. Joint Conf. on Artificial Intelligence (IJCAI-95), Montreal, Canada, August 1995, New York: Morgan Kaufmann, 1995, 1541–1547.
Zhang Dongmo, A general framework for belief revision, inProc. 4th Int. Conf. for Young Computer Scientists, Beijing: Peking University Press, 1995, 574–581.
Li Wei, A logical framework for evolution of specification, inProgramming Language and Systems, (ESOP'94), LNCS 788, Berlin: Springer-Verlag, 1994, 394–408.
Author information
Authors and Affiliations
Additional information
Project supported by the National Natural Science Foundation of China (Grant No. 69785004) and the Natural Science Foundation of Jiangsu Province (BK97064).
Rights and permissions
About this article
Cite this article
Zhang, D., Li, W. Open logic based on total-ordered partition model. Sci. China Ser. E-Technol. Sci. 41, 641–649 (1998). https://doi.org/10.1007/BF02917048
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02917048