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When was the probabilistic Turing machine developed?

Super-recursive algorithm

Automata theory

Quantum finite automata

Probabilistic automaton

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The concept of probabilistic computation, including the probabilistic Turing machine, dates back to at least Turing's era, where he grappled with implementing probabilistic algorithms on machines with limited capabilities. Turing's original work on Turing machines, abstract computing devices introduced in 1936, laid the foundation for various computational models, including probabilistic ones. The development of probabilistic automata, a generalization of non-deterministic automata with assigned probabilities to transitions, further expanded the realm of probabilistic computation, with recent advancements focusing on the value 1 problem for probabilistic automata. This historical progression showcases the evolution of probabilistic concepts in computation, highlighting the continuous exploration and refinement of probabilistic models in the field of computer science.

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Open access•Book Chapter•DOI The Turing machine paradigm in contemporary computing Jan van Leeuwen, Jiří Wiedermann - Show less +1 more 19 Feb 2001 112 Citations	Not addressed in the paper.
Open access•Journal Article Profinite Techniques for Probabilistic Automata. Nathanaël Fijalkow 20 Jun 2017-Bulletin of The European Association for Theoretical Computer Science 1 Citations	Not addressed in the paper.
Open access La machine de Turing Benoît Solès 01 Jan 2018 2 Citations	Not addressed in the paper.
Open access Turing machine Patrick C. Fischer 01 Jan 2003 20 Citations	Not addressed in the paper.

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When did Alan Turing invent the Turing Test?5 answersAlan Turing proposed the Turing Test in 1950 as a method to determine a machine's ability to exhibit intelligent behavior indistinguishable from that of a human. The test, also known as "the Imitation Game," aimed to assess whether machines, particularly digital computers, could be considered as thinking entities. Turing's motivation for the test was to explore the development of machine intelligence and the potential for achieving human-level artificial intelligence through approaches like Computational Logic and Machine Learning. Despite its initial purpose, subsequent discussions on Turing tests have expanded to consider their utility in addressing empirical questions about both machines and humans involved in human-machine interactions, highlighting the evolving significance of Turing's groundbreaking concept.

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