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arxiv: 1904.02428 · v1 · pith:OE4PMPMDnew · submitted 2019-04-04 · 💻 cs.FL

Computational Limitations of Affine Automata

classification 💻 cs.FL
keywords affineautomataalgebraic-valuedcomputationallimitationslogarithmicresultspace
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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-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.

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