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We propose here to make the connection between the definitions given by Turing and Wittgenstein about what it means to follow a rule. It will be here a presentation of the Turing test in order to observe that humans and machines have more in common than one might initially believe when it comes to interpreting signs. We will see that both encounter a decision problem. For that, we will come back to the definition of the concepts of forms of life and language games from Wittgenstein, in order to see how we can apply them to a Turing machine.
Computer science has grown rapidly since its inception in the 1950s and the pioneers in the field are celebrated annually by the A.M. Turing Award. In this paper, we attempt to shed light on the path to influential computer scientists by examining th
We describe the Turing Machine, list some of its many influences on the theory of computation and complexity of computations, and illustrate its importance.
Clift and Murfet (2019) introduced a naive Bayesian smooth relaxation of Turing machines motivated by work in differential linear logic; this was subsequently used to endow spaces of program codes of bounded length with a smooth manifold structure vi
An {omega}-language is a set of infinite words over a finite alphabet X. We consider the class of recursive {omega}-languages, i.e. the class of {omega}-languages accepted by Turing machines with a Buchi acceptance condition, which is also the class
The model of local Turing machines is introduced, including classical and quantum ones, in the framework of matrix-product states. The locality refers to the fact that at any instance of the computation the heads of a Turing machine have definite loc