Intuitionistic Public Announcement Logic with Distributed Knowledge

被引：0
|
作者：
Murai, Ryo [1 ]
Sano, Katsuhiko [2 ]
机构：
[1] Hokkaido Univ, Grad Sch Humanities & Human Sci, Nishi 7 Chome, Kita 10 Jo, Kita Ku, Sapporo, Hokkaido 0600810, Japan
[2] Hokkaido Univ, Fac Humanities & Human Sci, Nishi 7 Chome, Kita 10 Jo, Kita Ku, Sapporo, Hokkaido 0600810, Japan
来源：
STUDIA LOGICA | 2024年 / 112卷 / 03期
关键词：
Intuitionistic epistemic logic; Public announcement logic; Distributed knowledge; COMPLETENESS;
D O I：
10.1007/s11225-023-10066-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop intuitionistic public announcement logic over intuitionistic K, KT, K4, and S4 with distributed knowledge. We reveal that a recursion axiom for the distributed knowledge is not valid for a frame class discussed in [12] but valid for the restricted frame class introduced in [20,26]. The semantic completeness of the static logics for this restricted frame class is established via the concept of pseudo-model.
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页码：661 / 691
页数：31
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