Hybrid sabotage modal logic

被引:3
作者
van Benthem, Johan [1 ,2 ,3 ]
Li, Lei [1 ]
Shi, Chenwei [1 ]
Yin, Haoxuan [1 ,4 ]
机构
[1] Tsinghua Univ, Joint Res Ctr Log, Dept Philosophy, Beijing 100084, Peoples R China
[2] Univ Amsterdam, ILLC, POB 94242, Amsterdam, Netherlands
[3] Stanford Univ, Dept Philosophy, Stanford, CA 94305 USA
[4] Tsinghua Univ, Dept Comp Sci & Technol, Beijing 100084, Peoples R China
关键词
Modal logic; graph change; sabotage game; link deletion;
D O I
10.1093/logcom/exac006
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We introduce a new hybrid modal logic HSML for reasoning about sabotage-style graph games with edge deletions and provide a complete Hilbert-style axiomatization. We extend the completeness analysis to protocol models with restrictions on available edge deletions and clarify the connections between HSML-style logics of edge deletions and recent modal logics for stepwise point deletion from graphs.
引用
收藏
页码:1216 / 1242
页数:27
相关论文
共 26 条
  • [1] Hybrid logics: Characterization, interpolation and complexity
    Areces, C
    Blackburn, P
    Marx, M
    [J]. JOURNAL OF SYMBOLIC LOGIC, 2001, 66 (03) : 977 - 1010
  • [2] Relation-Changing Logics as Fragments of Hybrid Logics
    Areces, Carlos
    Fervari, Raul
    Hoffmann, Guillaume
    Martel, Mauricio
    [J]. ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE, 2016, (226): : 16 - 29
  • [3] Areces C, 2007, STUD LOGIC PRACT REA, V3, P821
  • [4] Modal logics of sabotage revisited
    Aucher, Guillaume
    van Benthem, Johan
    Grossi, Davide
    [J]. JOURNAL OF LOGIC AND COMPUTATION, 2018, 28 (02) : 269 - 303
  • [5] Baltag A., 2016, STANFORD ENCY PHILOS
  • [6] Pure extensions, proof rules, and hybrid axiomatics
    Blackburn P.
    Ten Cate B.
    [J]. Studia Logica, 2006, 84 (2) : 277 - 322
  • [7] Blackburn P., 2001, MODAL LOGIC, V53, DOI 10.1017/CBO9781107050884
  • [8] Blando F.Z., 2020, KNOWLEDGE PROOF DYNA, V7, P3, DOI DOI 10.1007/978-981-15-2221-51
  • [9] Learning and Teaching as a Game: A Sabotage Approach
    Gierasirnczuk, Nina
    Kurzen, Lena
    Velazquez-Quesada, Fernando R.
    [J]. LOGIC, RATIONALITY, AND INTERACTION, PROCEEDINGS, 2009, 5834 : 119 - 132
  • [10] Grossi D, 2019, AAMAS '19: PROCEEDINGS OF THE 18TH INTERNATIONAL CONFERENCE ON AUTONOMOUS AGENTS AND MULTIAGENT SYSTEMS, P1994