6533b7ddfe1ef96bd1273c74

RESEARCH PRODUCT

Quantum Finite Automata and Logics

Ilze Dzelme

subject

Discrete mathematicsLindström quantifierNested wordAbstract family of languagesComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)Computer Science::Computational ComplexityComputer Science::Digital LibrariesAlgebraTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESMonoidal t-norm logicComputer Science::Programming LanguagesQuantum finite automataEquivalence (formal languages)T-norm fuzzy logicsComputer Science::Formal Languages and Automata TheoryAND gateMathematics

description

The connection between measure once quantum finite automata (MO-QFA) and logic is studied in this paper. The language class recognized by MO-QFA is compared to languages described by the first order logics and modular logics. And the equivalence between languages accepted by MO-QFA and languages described by formulas using Lindstrom quantifier is shown.

https://doi.org/10.1007/11611257_22