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Results tagged with computability-theory
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user 37726
computable sets and functions, Turing degrees, c.e. degrees, models of computability, primitive recursion, oracle computation, models of computability, decision problems, undecidability, Turing jump, halting problem, notions of computable randomness, computable model theory, computable equivalence relation theory, arithmetic and hyperarithmetic hierarchy, infinitary computability, $\alpha$-recursion, complexity theory.
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Can a positive elementary inductive definition refer to its own stage comparison relation?
This is a cross-post of a question from cstheory.SE
Moschovakis' stage comparison theorem says that the stage comparison relation associated with any positive elementary induction is itself definable …
- 211
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Transfinite algorithms
In this paper Jay Kienzle and I consider traversal algorithms over infinite, well-ordered graphs. The situation is a little different than your conditions (1)-(3): the algorithms are deterministic and …
- 211
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Finite-variable fragments of $\Delta_0$-formulas
Consider sets definable in the usual structure of arithmetic $(\mathbb{N},0,1,+,\times)$ by $\Delta_0$-formulas, i.e., formulas with bounded quantifiers. The quantifier alternation hierarchy has been …
- 211