Some closure properties of finite definitions

被引:0
作者
Martinez M. [1 ]
机构
[1] Math Department, Indiana University
关键词
Circular definitions; Finite definitions; Revision rules; Revision theory;
D O I
10.1023/A:1011998021743
中图分类号
学科分类号
摘要
There is no known syntactic characterization of the class of finite definitions in terms of a set of basic definitions and a set of basic operators under which the class is closed. Furthermore, it is known that the basic propositional operators do not preserve finiteness. In this paper I survey these problems and explore operators that do preserve finiteness. I also show that every definition that uses only unary predicate symbols and equality is bound to be finite. © 2001 Kluwer Academic Publishers.
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页码:43 / 68
页数:25
相关论文
共 4 条
[1]  
Gupta A., Belnap N., The Revision Theory of Truth, (1993)
[2]  
On Circular Concepts, Circularity, Definition and Truth, (2000)
[3]  
Kremer Ph., The Gupta-Belnap systems S* and 51# are not axiomatisable, Notre Dame Journal of Formal Logic, 34, 4, pp. 583-596, (1993)
[4]  
Van Den Dries L., Tame Topology and O-minimal Structures, (1998)