Dynamical Recognizers: Real-Time Language Recognition by Analog Computers

@article{Moore1998DynamicalRR,
  title={Dynamical Recognizers: Real-Time Language Recognition by Analog Computers},
  author={Cristopher Moore},
  journal={Theor. Comput. Sci.},
  year={1998},
  volume={201},
  pages={99-136}
}
We consider a model of analog computation which can recognize various languages in real time. We encode an input word as a point in R d by composing iterated maps, and then apply inequalities to the resulting point to test for membership in the language. Each class of maps and inequalities, such as quadratic functions with rational coeecients, is capable of recognizing a particular class of languages. For instance, linear and quadratic maps can have both stack-like and queue-like memories. We… CONTINUE READING
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