3.8 Proceedings Paper

Computational Limitations of Affine Automata

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SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/978-3-030-19311-9_10

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Funding

  1. Akademiska personala atjaunotne un kompetencu pilnveide Latvijaspilnveide Latvijas Universitate lig [8.2.2.0/18/A/010 LU, ESS2018/289]
  2. ERC Advanced Grant MQC
  3. Vaisala Foundation
  4. ANR project CoCoGro [ANR-16-CE40-0005]

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We present two new results on the computational limitations of affine automata. First, we show that the computation of bounded-error rational-valued 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.

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