Hennessy-Milner and Van Benthem for Instantial Neighbourhood Logic

被引:2
作者
de Groot, Jim [1 ]
机构
[1] Australian Natl Univ, Coll Engn & Comp Sci, Canberra, ACT 0200, Australia
关键词
Modal logic; Instantial neighbourhood logic; Bisimulation; Hennessy-Milner theorem; Van Benthem theorem;
D O I
10.1007/s11225-021-09975-w
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We investigate bisimulations for instantial neighbourhood logic and an omega-indexed collection of its fragments. For each of these logics we give a Hennessy-Milner theorem and a Van Benthem-style characterisation theorem.
引用
收藏
页码:717 / 743
页数:27
相关论文
共 43 条
  • [1] Model theory of XPath on data trees. Part II: Binary bisimulation and definability
    Abriola, Sergio
    Emilia Descotte, Maria
    Figueira, Santiago
    [J]. INFORMATION AND COMPUTATION, 2017, 255 : 195 - 223
  • [2] Aczel P., 1988, Non-Well-Founded Sets.
  • [3] [Anonymous], 1997, Notre Dame Journal of Formal Logic, DOI [DOI 10.1305/NDJFL/1039700693, 10.1305/ndjfl/1039700693]
  • [4] [Anonymous], 1980, LECT NOTES MATH
  • [5] Bi-Simulating in Bi-Intuitionistic Logic
    Badia, Guillermo
    [J]. STUDIA LOGICA, 2016, 104 (05) : 1037 - 1050
  • [6] Benthem J.van, 1976, THESIS U AMSTERDAM
  • [7] Bezhanishvili N., 2019, LEIBNIZ INT P INFORM, V139
  • [8] Duality for Instantial Neighbourhood Logic via Coalgebra
    Bezhanishvili, Nick
    Enqvist, Sebastian
    De Groot, Jim
    [J]. COALGEBRAIC METHODS IN COMPUTER SCIENCE, CMCS 2020, 2020, 12094 : 32 - 54
  • [9] Blackburn P., 2001, CAMBRIDGE TRACTS THE, V53, DOI 10.1017/CBO9781107050884
  • [10] PDL is the bisimulation-invariant fragment of Weak Chain Logic
    Carreiro, Facundo
    [J]. 2015 30TH ANNUAL ACM/IEEE SYMPOSIUM ON LOGIC IN COMPUTER SCIENCE (LICS), 2015, : 341 - 352