Conference paperCHEN YuFang, LENGÁL Ondřej, TAN Tony and WU Zhilin. Register Automata with Linear Arithmetic. In: Proceedings of LICS'17. XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX, 2017, pp. 112.  Publication language:  english 

Original title:  Register Automata with Linear Arithmetic 

Title (cs):  Registrové automaty s lineární aritmetikou 

Pages:  112 

Proceedings:  Proceedings of LICS'17 

Conference:  ThirtySecond Annual ACM/IEEE Symposium on Logic in Computer Science (LICS) 

Place:  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 

Year:  2017 

Keywords 

register automata, linear arithmetic, invariant problem, reachability, equivalence, affine programs, rational numbers 
Annotation 

We propose a novel automata model over the alphabet of rational numbers, which we call register automata over the rationals (RAq). It reads a sequence of rational numbers and outputs another rational number. RAq is an extension of the wellknown register automata (RA) over infinite alphabets, which are finite automata equipped with a finite number of registers/variables for storing values. Like in the standard RA, the RAq model allows both equality and ordering tests between values. It, moreover, allows to perform linear arithmetic between certain variables. The model is quite expressive: in addition to the standard RA, it also generalizes other wellknown models such as affine programs and arithmetic circuits. The main feature of RA Q is that despite the use of linear arithmetic, the socalled invariant problema generalization of the standard nonemptiness problemis decidable. We also investigate other natural decision problems, namely, commutativity, equivalence, and reachability. For deterministic RA Q , commutativity and equivalence are polynomialtime interreducible with the invariant problem. 
BibTeX: 

@INPROCEEDINGS{
author = {YuFang Chen and Ond{\v{r}}ej Leng{\'{a}}l and Tony Tan and
Zhilin Wu},
title = {Register Automata with Linear Arithmetic},
pages = {112},
booktitle = {Proceedings of LICS'17},
year = {2017},
location = {XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX, },
language = {english},
url = {http://www.fit.vutbr.cz/research/view_pub.php?id=11431}
} 
