The upper semi-lattice of degrees of recursive unsolvability

From MaRDI portal
Publication:2652167

DOI10.2307/1969708zbMath0057.24703OpenAlexW1967629533WikidataQ56430698 ScholiaQ56430698MaRDI QIDQ2652167

E. L. Post, Stephen C. Kleene

Publication date: 1954

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1969708




Related Items (97)

An Uncountable Set of Incomparable DegreesUntersuchungen über die Struktur des Kleene-Postschen Halbverbandes der Grade der Rekursiven UnlösbarkeitDecomposition and infima in the computably enumerable degreesThe minimum of two regressive isolsDegrees of TransducibilityRefining the taming of the reverse mathematics zooSeparating weak \(\alpha\)-change and \(\alpha\)-change genericityJump embeddings in the Turing degreesThe ∀∃-theory of ℛ(≤,∨,∧) is undecidableThe Typical Constructible ObjectOn the embedding of α-recursive presentable lattices into the α-recursive degrees below 0′On complete degreesA theorem on minimal degreesDegrees of Unsolvability: A TutorialInfima of d.r.e. degreesThe Mathematical Work of S.C.KleenePriority constructionsFormalism and intuition in computabilityThe jump is definable in the structure of the degrees of unsolvabilityTransducer degrees: atoms, infima and supremaA General Framework for Priority ArgumentsComputational processes, observers and Turing incompletenessHierarchies of number-theoretic predicatesRecursive well-orderingsUnnamed ItemNot every finite lattice is embeddable in the recursively enumerable degreesCountable admissible ordinals and hyperdegreesAn oracle builder's toolkitIncomparable Vγ$V_\gamma$‐degreesThe degrees below a 1-generic degree < 0Unnamed ItemOn the uniform computational content of computability theoryDirect construction of Scott idealsA criterion for completeness of degrees of unsolvabilityTHE FIRST-ORDER LOGIC OF CZF IS INTUITIONISTIC FIRST-ORDER LOGICClasses of Polish spaces under effective Borel isomorphismMeasure-theoretic construction of incomparable hyperdegreesWeakly Represented Families in Reverse MathematicsDIRECT AND LOCAL DEFINITIONS OF THE TURING JUMPGödel numberings of partial recursive functionsMinimal Covers and Arithmetical SetsA personal account of Turing's imprint on the development of computer scienceThe Complexity of Orbits of Computably Enumerable SetsDegrees of modelsA survey of partial degreesNatural factors of the Medvedev lattice capturing IPCHierarchies in Recursive Function TheoryThe Information Content of Typical RealsWhy Turing’s Thesis Is Not a ThesisUnnamed ItemGenericity for Mathias forcing over general Turing idealsThe p-T-degrees of the recursive sets: Lattice embeddings, extensions of embeddings and the two-quantifier theoryThe decision problem for recursively enumerable degreesEmbedding jump upper semilattices into the Turing degreesOn Reducibility by Recursive FunctionsBanach–Mazur games, comeager sets and degrees of unsolvabilityInfima of d.r.e. DegreesLocal Definitions in Degree Structures: The Turing Jump, Hyperdegrees and BeyondComplementation in the Turing degreesDiscontinuities of provably correct operators on the provably recursive real numbersForcing and reducibilitiesAugmented loop languages and classes of computable functionsLattice initial segments of the hyperdegreesComputably enumerable Turing degrees and the meet propertyGoodness in the enumeration and singleton degreesThe uniform Martin’s conjecture for many-one degreesUndecidability and initial segments of the (r.e.) tt-degreesStrong and weak reducibility of algorithmic problems1Decidability and Invariant Classes for Degree StructuresLattice nonembeddings and intervals of the recursively enumerable degreesNaturalness in MathematicsA Theorem on Intermediate ReducibilitiesRecursive Enumerability and the Jump OperatorRecursively enumerable sets and degreesDefinable degrees and automorphisms of 𝒟A semantical proof of De Jongh's theoremOn the theory of the PTIME degrees of the recursive setsArithmetical Predicates and Function QuantifiersInitial segments of the degrees of size \(\aleph _ 1\)On minimal pairs of enumeration degreesMass problems associated with effectively closed setsTuring oracle machines, online computing, and three displacements in computability theoryComputing degrees of unsolvabilityExtensions of embeddings below computably enumerable degreesMass Problems and Measure-Theoretic RegularityDegree Structures: Local and Global InvestigationsSome Theorems on Classes of Recursively Enumerable SetsOn a Subrecursive Hierarchy and Primitive Recursive DegreesOn the notational independence of various hierarchies of degrees of unsolvabilityConstructive Versions of Ordinal Number ClassesThe density of the nonbranching degreesUnnamed ItemIndependence Results on the Global Structure of the Turing DegreesDecidability of the “almost all” theory of degreesPseudo-jump operators. II: Transfinite iterations, hierarchies and minimal coversOn effectively computable realizations of choice functionsThe minimum degree of recursively representable choice functions




This page was built for publication: The upper semi-lattice of degrees of recursive unsolvability