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CIE
2006
Springer
14 years 13 days ago
Constraints on Hypercomputation
Wegner and Eberbach[Weg04b] have argued that there are fundamental limitations to Turing Machines as a foundation of computability and that these can be overcome by so-called super...
Greg Michaelson, W. Paul Cockshott
CIE
2006
Springer
14 years 13 days ago
Uncomputability Below the Real Halting Problem
Klaus Meer, Martin Ziegler
CIE
2006
Springer
14 years 13 days 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 13 days ago
Complexity-Theoretic Hierarchies
We introduce two hierarchies of unknown ordinal height. The hierarchies are induced by natural fragments of a calculus based on finite types and G
Lars Kristiansen
CIE
2006
Springer
14 years 13 days ago
Forcing with Random Variables and Proof Complexity
or representation theory of groups), and even borrows abstract geometrical concepts like Euler characteristic or Grothendieck ring. However, the most stimulating for proof complexi...
Jan Krajícek
CIE
2006
Springer
14 years 13 days ago
On Graph Isomorphism for Restricted Graph Classes
Abstract. Graph isomorphism (GI) is one of the few remaining problems in NP whose complexity status couldn't be solved by classifying it as being either NP-complete or solvabl...
Johannes Köbler
CIE
2006
Springer
14 years 13 days 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 13 days ago
Coinductive Proofs for Basic Real Computation
We describe two representations for real numbers, signed digit streams and Cauchy sequences. We give coinductive proofs for the correctness of functions converting between these tw...
Tie Hou