On the Complexity of Kleene Algebra with Domain

被引：2
|
作者：
Sedlar, Igor [1 ]
机构：
[1] Czech Acad Sci, Inst Comp Sci, Prague, Czech Republic
来源：
RELATIONAL AND ALGEBRAIC METHODS IN COMPUTER SCIENCE, RAMICS 2023 | 2023年 / 13896卷
关键词：
Complexity; Kleene algebra; Kleene algebra with domain; Propositional dynamic logic; Test algebra; COMPLETENESS; AXIOMS;
D O I：
10.1007/978-3-031-28083-2_13
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We prove that the equational theory of Kleene algebra with domain is EXPTIME-complete. Our proof makes essential use of Hollenberg's equational axiomatization of program equations valid in relational test algebra. We also show that the equational theory of Kleene algebra with domain coincides with the equational theory of *-continuous Kleene algebra with domain.
引用
收藏
页码：208 / 223
页数：16
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