Computational Limitations of Affine Automata
arXiv:1904.02428
Abstract
We present two new results on the computational limitations of affine automata. First, we show that the computation of bounded-error rational-values affine automata is simulated in logarithmic space. Second, we give an impossibility result for algebraic-valued affine automata. As a result, we identify some unary languages (in logarithmic space) that are not recognized by algebraic-valued affine automata with cutpoints.
Accepted in Unconventional Computation and Natural Computation (UCNC) 2019