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CIE
2006
Springer
14 years 1 months ago
The Jump Classes of Minimal Covers
We work in D[< 0 ]. Given the jump class of any (Turing) degree a, the jump classes of the minimal covers of a is a matter which is entirely settled unless a is high2. We show t...
Andrew E. M. Lewis
CIE
2006
Springer
14 years 1 months ago
Phase Transition Thresholds for Some Natural Subclasses of the Computable Functions
In this paper we first survey recent advances on phase transition phenomena which are related to natural subclasses of the recursive functions. Special emphasis is put on descent ...
Andreas Weiermann
CIE
2006
Springer
14 years 1 months ago
From a Zoo to a Zoology: Descriptive Complexity for Graph Polynomials
Abstract. We outline a general theory of graph polynomials which covers all the examples we found in the vast literature, in particular, the chromatic polynomial, various generaliz...
Johann A. Makowsky
CIE
2006
Springer
14 years 1 months ago
Undecidability in the Homomorphic Quasiorder of Finite Labeled Forests
Abstract. We prove that the homomorphic quasiorder of finite k-labeled forests has undecidable elementary theory for k 3, in contrast to the known decidability result for k = 2. W...
Oleg V. Kudinov, Victor L. Selivanov
CIE
2006
Springer
14 years 1 months ago
Understanding and Using Spector's Bar Recursive Interpretation of Classical Analysis
This note reexamines Spector's remarkable computational interpretation of full classical analysis. Spector's interpretation makes use of a rather abstruse recursion schem...
Paulo Oliva