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Fredkin gates for finite-valued reversible and conservative logics
2002
Journal of Physics A: Mathematical and General
The basic principles and results of Conservative Logic introduced by Fredkin and Toffoli on the basis of a seminal paper of Landauer are extended to d-valued logics, with a special attention to three-valued logics. Different approaches to d-valued logics are examined in order to determine some possible universal sets of logic primitives. In particular, we consider the typical connectives of Lukasiewicz and Godel logics, as well as Chang's MV-algebras. As a result, some possible three-valued and
doi:10.1088/0305-4470/35/46/304
fatcat:44zqf2fbazc63e6kchhw4em2tm