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CIE
2007
Springer
14 years 1 months ago
Post's Problem for Ordinal Register Machines
We study Post’s Problem for the ordinal register machines defined in [6], showing that its general solution is positive, but that any set of ordinals solving it must be unbounde...
Joel David Hamkins, Russell G. Miller
CIE
2006
Springer
13 years 11 months 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
FUIN
2007
120views more  FUIN 2007»
13 years 7 months ago
Concurrent Turing Machines
We define Concurrent Turing Machines (CTMs) as Turing machines with Petri nets as finite control. This leads to machines with arbitrary many tape heads, thus subsuming any class ...
Berndt Farwer, Manfred Kudlek, Heiko Rölke
CDES
2006
84views Hardware» more  CDES 2006»
13 years 8 months ago
Simulation of a Turing Machine using EndoII Splicing Rules
In this paper we define splicing rules for class II restriction endonucleases and show how a Turing Machine can be simulated using such rules.
Kamala Kritihivasan, Anshu Bhatia, T. S. Chandra
CORR
2007
Springer
88views Education» more  CORR 2007»
13 years 7 months ago
Decisive Markov Chains
We consider qualitative and quantitative verification problems for infinite-state Markov chains. We call a Markov chain decisive w.r.t. a given set of target states F if it almos...
Parosh Aziz Abdulla, Noomene Ben Henda, Richard Ma...