Register Automata with Linear Arithmetic
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F17%3APU127273" target="_blank" >RIV/00216305:26230/17:PU127273 - isvavai.cz</a>
Result on the web
<a href="https://www.fit.vut.cz/research/publication/11431/" target="_blank" >https://www.fit.vut.cz/research/publication/11431/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/LICS.2017.8005111" target="_blank" >10.1109/LICS.2017.8005111</a>
Alternative languages
Result language
angličtina
Original language name
Register Automata with Linear Arithmetic
Original language description
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 well-known 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 well-known models such as affine programs and arithmetic circuits. The main feature of RA Q is that despite the use of linear arithmetic, the so-called invariant problem-a generalization of the standard non-emptiness problem-is decidable. We also investigate other natural decision problems, namely, commutativity, equivalence, and reachability. For deterministic RA Q , commutativity and equivalence are polynomial-time inter-reducible with the invariant problem.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of LICS'17
ISBN
978-1-5090-3018-7
ISSN
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e-ISSN
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Number of pages
12
Pages from-to
1-12
Publisher name
IEEE Computer Society
Place of publication
Reykjavik
Event location
Reykjavik
Event date
Jun 20, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000425849500049