Homing Vector Automata
Formal Languages and Automata Theory
2017-08-01 v2
Abstract
We introduce homing vector automata, which are finite automata augmented by a vector that is multiplied at each step by a matrix determined by the current transition, and have to return the vector to its original setting in order to accept the input. The computational power and properties of deterministic, nondeterministic, blind, non-blind, real-time and one-way versions of these machines are examined and compared to various related types of automata. A generalized version of the Stern-Brocot encoding method, suitable for representing strings on arbitrary alphabets, is also developed.
Cite
@article{arxiv.1603.09185,
title = {Homing Vector Automata},
author = {Özlem Salehi and A. C. Cem Say and Flavio D'Alessandro},
journal= {arXiv preprint arXiv:1603.09185},
year = {2017}
}
Comments
This is the extended version of our paper homing vector automata arXiv:1504.04859