@inproceedings{07b0cf2aac834314886dcb8b9e59cc0f,

title = "Automata representation for Abelian groups",

abstract = "A finite automaton is one of the classic models of recognition devices, which is used to determine the type of language a string belongs to. A string is said to be recognized by a finite automaton if the automaton {"}reads{"} the string from the left to the right starting from the initial state and finishing at a final state. Another type of automata which is a counterpart of sticker systems, namely Watson-Crick automata, is finite automata which can scan the double-stranded tapes of DNA strings using the complimentary relation. The properties of groups have been extended for the recognition of finite automata over groups. In this paper, two variants of automata, modified deterministic finite automata and modified deterministic Watson-Crick automata are used in the study of Abelian groups. Moreover, the relation between finite automata diagram over Abelian groups and the Cayley table is introduced. In addition, some properties of Abelian groups are presented in terms of automata.",

keywords = "Abelian group, Automata diagram, Cayley table, Finite automata, Watson-Crick automata",

author = "Fong, {Wan Heng} and Gan, {Yee Siang} and Sarmin, {Nor Haniza} and Sherzod Turaev",

year = "2013",

doi = "10.1063/1.4801221",

language = "English",

isbn = "9780735411500",

series = "AIP Conference Proceedings",

pages = "875--882",

booktitle = "Proceedings of the 20th National Symposium on Mathematical Sciences, SKSM 2012 - Research in Mathematical Sciences",

note = "20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012 ; Conference date: 18-12-2012 Through 20-12-2012",

}