Title
Ordered Semiautomatic Rings with Applications to Geometry.
Abstract
The present work looks at semiautomatic rings with automatic addition and comparisons which are dense subrings of the real numbers and asks how these can be used to represent geometric objects such that certain operations and transformations are automatic. The underlying ring has always to be a countable dense subring of the real numbers and additions and comparisons and multiplications with constants need to be automatic. It is shown that the ring can be selected such that equilateral triangles can be represented and rotations by 30 degrees are possible, while the standard representation of the b-adic rationals does not allow this.
Year
DOI
Venue
2020
10.1007/978-3-030-40608-0_9
LATA
DocType
ISSN
Citations 
Conference
LATA 2020
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
Ziyuan Gao100.34
Sanjay Jain21647177.87
Ji Qi35010.17
Philipp Schlicht400.34
Frank Stephan531328.88
Jacob Tarr600.34