Context-Free Word Problem Semigroups

被引:6
作者
Brough, Tara [1 ]
Cain, Alan J. [1 ]
Pfeiffer, Markus [2 ]
机构
[1] Univ Nova Lisboa, Ctr Matemat & Aplicacoes, Fac Ciencias & Tecnol, P-2829516 Caparica, Portugal
[2] Univ St Andrews, Sch Comp Sci, St Andrews KY16 9SS, Fife, Scotland
来源
DEVELOPMENTS IN LANGUAGE THEORY, DLT 2019 | 2019年 / 11647卷
关键词
D O I
10.1007/978-3-030-24886-4_22
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper studies the classes of semigoups and monoids with context-free and deterministic context-free word problem. First, some examples are exhibited to clarify the relationship between these classes and their connection with the notions of word-hyperbolicity and automaticity. Second, a study is made of whether these classes are closed under applying certain semigroup constructions, including direct products and free products, or under regressing from the results of such constructions to the original semigroup(s) or monoid(s).
引用
收藏
页码:292 / 305
页数:14
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