Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Lower Bounds for Pairs of Recursively Enumerable Degrees - MaRDI portal

Lower Bounds for Pairs of Recursively Enumerable Degrees

From MaRDI portal
Publication:5537365

DOI10.1112/plms/s3-16.1.537zbMath0156.00907OpenAlexW2006726677WikidataQ56430699 ScholiaQ56430699MaRDI QIDQ5537365

Alistair H. Lachlan

Publication date: 1966

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-16.1.537




Related Items

Elementary theories and structural properties of d-c.e. and n-c.e. degreesDecomposition and infima in the computably enumerable degreesEmbedding the Diamond Lattice in the Recursively Enumerable Truth-Table DegreesStructural interactions of the recursively enumerable T- and W-degreesOn Pairs of Recursively Enumerable DegreesAn Algebraic Decomposition of the Recursively Enumerable Degrees and the Coincidence of Several Degree Classes with the Promptly Simple DegreesIntervals and sublattices of the r.e. weak truth table degrees. I: DensityClassification of degree classes associated with r.e. subspacesComplementing below recursively enumerable degreesOn injective enumerability of recursively enumerable classes of cofinite setsThe discontinuity of splitting in the recursively enumerable degreesA non-inversion theorem for the jump operatorMinimal pairs in initial segments of the recursively enumerable degreesA finite lattice without critical triple that cannot be embedded into the enumerable Turing degreesInfima of d.r.e. degreesLattice embeddings below a nonlow\(_ 2\) recursively enumerable degreeDecomposition of Recursively Enumerable DegreesAn extended Lachlan splitting theoremIntervals containing exactly one c.e. degreeThe Quotient Semilattice of the Recursively Enumerable Degrees Modulo the Cappable DegreesCupping and noncapping in the r.e. weak truth table and turing degreesInfima in the recursively enumerable weak truth table degreesAlmost universal cupping and diamond embeddingsNot every finite lattice is embeddable in the recursively enumerable degreesTowards characterizing the \(> \omega^2\)-fickle recursively enumerable Turing degreesA superhigh diamond in the c.e. tt-degreesSome results about the R.E. degreesElementary differences between the degrees of unsolvability and degrees of compressibilitySplitting properties and jump classesA Survey of Results on the d-c.e. and n-c.e. DegreesThere Are No Maximal d.c.e. wtt-degreesNondensity of Double Bubbles in the D.C.E. DegreesDecomposability of low 2-computably enumerable degrees and Turing jumps in the Ershov hierarchyComplementing cappable degrees in the difference hierarchy.Branching Degrees above low DegreesThe d.r.e. degrees are not denseBranching in the \({\Sigma^0_2}\)-enumeration degrees: a new perspectiveOn Lachlan's major sub-degree problemOn co-simple isols and their intersection typesThe decision problem for recursively enumerable degreesA hierarchy for the plus cupping Turing degreesInfima in the d.r.e. degreesUndecidability and 1-types in the recursively enumerable degreesIncomparable prime ideals of recursively enumerable degreesInfima of d.r.e. DegreesExtending the Cooper minimal pair theorem\(\Sigma_2\) induction and infinite injury priority arguments. III: Prompt sets, minimal pairs and Shoenfield's conjectureA necessary and sufficient condition for embedding principally decomposable finite lattices into the computably enumerable degrees preserving greatest elementDiamond embeddings into the enumeration degreesTuring computability: structural theoryLattice nonembeddings and intervals of the recursively enumerable degreesModel-theoretic properties of Turing degrees in the Ershov difference hierarchyRecursively enumerable sets and degreesT-Degrees, Jump Classes, and Strong ReducibilitiesTracing and domination in the Turing degreesThe recursively enumerable degrees have infinitely many one-typesThe $\Pi _3$-theory of the computably enumerable Turing degrees is undecidableBranching in the enumeration degrees of the \(\Sigma_2^0\) setsA necessary and sufficient condition for embedding ranked finite partial lattices into the computably enumerable degreesComputably enumerable sets and quasi-reducibilityOn the existence of a strong minimal pairThe density of the nonbranching degreesUndecidability and 1-types in intervals of the computably enumerable degreesMinimal pairs for PCappable recursively enumerable degrees and Post's programThe elementary theory of the recursively enumerable degrees is not \(\aleph _ 0\)-categoricalSplitting theorems in recursion theory




This page was built for publication: Lower Bounds for Pairs of Recursively Enumerable Degrees