We consider the weak truth-table reducibility $le_{wtt}$ and we prove the existence of $wtt$-introimmune sets in $Delta^0_2$. This closes the gap on the existence of arithmetical $r$-introimmune sets for all the known reducibilities $le_r$ strictly contained in the Turing reducibility.

Sets with no subsets of higher weak truth-table degree

Patrizio Cintioli
2018-01-01

Abstract

We consider the weak truth-table reducibility $le_{wtt}$ and we prove the existence of $wtt$-introimmune sets in $Delta^0_2$. This closes the gap on the existence of arithmetical $r$-introimmune sets for all the known reducibilities $le_r$ strictly contained in the Turing reducibility.
2018
262
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/418086
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