Search results for "Embedded pushdown automaton"

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Quantum Pushdown Automata

2000

Quantum finite automata, as well as quantum pushdown automata were first introduced by C. Moore, J. P. Crutchfield [13]. In this paper we introduce the notion of quantum pushdown automata (QPA) in a non-equivalent way, including unitarity criteria, by using the definition of quantum finite automata of [11]. It is established that the unitarity criteria of QPA are not equivalent to the corresponding unitarity criteria of quantum Turing machines [4]. We show that QPA can recognize every regular language. Finally we present some simple languages recognized by QPA, two of them are not recognizable by deterministic pushdown automata and one seems to be not recognizable by probabilistic pushdown …

Discrete mathematicsNested wordComputer scienceDeterministic context-free grammarContext-free languagePushdown automatonNonlinear Sciences::Cellular Automata and Lattice GasesEmbedded pushdown automatonDeterministic pushdown automatonTuring machinesymbols.namesakeRegular languageDeterministic automatonProbabilistic automatonsymbolsQuantum finite automataAutomata theoryComputer Science::Formal Languages and Automata TheoryQuantum cellular automaton
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Tally languages accepted by Monte Carlo pushdown automata

1997

Rather often difficult (and sometimes even undecidable) problems become easily decidable for tally languages, i.e. for languages in a single-letter alphabet. For instance, the class of languages recognizable by 1-way nondeterministic pushdown automata equals the class of the context-free languages, but the class of the tally languages recognizable by 1-way nondeterministic pushdown automata, contains only regular languages [LP81]. We prove that languages over one-letter alphabet accepted by randomized one-way 1-tape Monte Carlo pushdown automata are regular. However Monte Carlo pushdown automata can be much more concise than deterministic 1-way finite state automata.

TheoryofComputation_COMPUTATIONBYABSTRACTDEVICESNested wordTheoretical computer scienceComputational complexity theoryComputer scienceDeterministic pushdown automatonTuring machinesymbols.namesakeRegular languageComputer Science::Logic in Computer ScienceQuantum finite automataNondeterministic finite automatonDiscrete mathematicsFinite-state machineDeterministic context-free languageComputabilityDeterministic context-free grammarContext-free languagePushdown automatonAbstract family of languagesComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)Cone (formal languages)Embedded pushdown automatonUndecidable problemNondeterministic algorithmTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESDeterministic finite automatonsymbolsComputer Science::Programming LanguagesAlphabetComputer Science::Formal Languages and Automata Theory
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