Mapcode Computable Functions

نویسنده

  • Arindama Singh
چکیده

In this paper we discuss an alternative definition of a program. We name this formalization as a mapcode and attempt to explore the theoretical issues of computability by mapcodes. We show that mapcodes not only define programs as mathematical entities in a natural manner, but also they are equivalent to Turing machines. The equivalence is shown by proving that the class of mapcode computable functions coincides with the class of Turing computable functions. A sufficient condition for termination of a mapcode is also proved and a related problem is raised.

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تاریخ انتشار 2006