We show that the first order theories of the Medevdev lattice and the Muchnik lattice are both computably isomorphic to the third order theory of true arithmetic.

Lewis, A., Nies, A., Sorbi, A. (2009). The first order theories of the Medvedev and Muchnik lattices. In Mathematical Theory and Computational Practice, (pp.324-331). Berlin : Springer [10.1007/978-3-642-03073-4_33].

The first order theories of the Medvedev and Muchnik lattices

SORBI, ANDREA
2009-01-01

Abstract

We show that the first order theories of the Medevdev lattice and the Muchnik lattice are both computably isomorphic to the third order theory of true arithmetic.
2009
9783642030727
3642030726
Lewis, A., Nies, A., Sorbi, A. (2009). The first order theories of the Medvedev and Muchnik lattices. In Mathematical Theory and Computational Practice, (pp.324-331). Berlin : Springer [10.1007/978-3-642-03073-4_33].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/389477