6533b7ddfe1ef96bd1273d3b

RESEARCH PRODUCT

Counting with Probabilistic and Ultrametric Finite Automata

Kaspars Balodis

subject

Discrete mathematicsFinite-state machineState complexityUnary languageProbabilistic logicQuantum finite automataNonlinear Sciences::Cellular Automata and Lattice GasesUltrametric spaceComputer Science::Formal Languages and Automata TheoryMathematicsAutomaton

description

We investigate the state complexity of probabilistic and ultrametric finite automata for the problem of counting, i.e. recognizing the one-word unary language \(C_n=\left\{ 1^n \right\} \). We also review the known results for other types of automata.

https://doi.org/10.1007/978-3-319-13350-8_1