This paper defines an interpretation of Turing Machines computing elementary functions as operators in a von Neumann algebra. More precisely, it defines an interpretation of such Turing Machines as operators in a commutative von Neumann algebra which is then embedded in the so-called hyperfinite factor of type II1.
Pedicini, M., Piazza, M. (2018). Kalmar elementary complexity and von neumann algebras. PANAMERICAN MATHEMATICAL JOURNAL, 28(4), 1-28.
Kalmar elementary complexity and von neumann algebras
Pedicini, Marco
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2018-01-01
Abstract
This paper defines an interpretation of Turing Machines computing elementary functions as operators in a von Neumann algebra. More precisely, it defines an interpretation of such Turing Machines as operators in a commutative von Neumann algebra which is then embedded in the so-called hyperfinite factor of type II1.File in questo prodotto:
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