Modal-type orthomodular logic

被引:4
作者
Domenech, Graciela [1 ]
Freytes, Hector [2 ,3 ]
de Ronde, Christian [4 ,5 ]
机构
[1] Inst Astron & Fis Espacio, RA-1428 Buenos Aires, DF, Argentina
[2] Univ Cagliari, Dipartimento Sci Pedagog & Filosof, I-09123 Cagliari, Italy
[3] IAM, RA-1083 Buenos Aires, DF, Argentina
[4] Free Univ Brussels, Ctr Leo Apostol CLEA, B-1160 Brussels, Belgium
[5] Free Univ Brussels, Fdn Exact Sci FUND, B-1160 Brussels, Belgium
关键词
Modal orthomodular logic; orthomodular lattices; Baer (star)-semigroups; QUANTUM-MECHANICS; SEMANTICS;
D O I
10.1002/malq.200710088
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we enrich the orthomodular structure by adding a modal operator, following a physical motivation, A logical system is developed, obtaining algebraic completeness and completeness with respect to a Kripke-style semantic founded on Baer (star)-semigroups as in [22]. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码:307 / 319
页数:13
相关论文
共 21 条