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» The Undecidability of the Generalized Collatz Problem
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TAMC
2007
Springer
13 years 11 months ago
The Undecidability of the Generalized Collatz Problem
The Collatz problem, widely known as the 3x + 1 problem, asks whether or not a certain simple iterative process halts on all inputs. We build on earlier work by J. H. Conway, and ...
Stuart A. Kurtz, Janos Simon
ACTA
2000
104views more  ACTA 2000»
13 years 5 months ago
Some results on the Collatz problem
The paper refers to the Collatz's conjecture. In the first part, we present some equivalent forms of this conjecture and a slight generalization of a former result from [1]. T...
Stefan Andrei, Manfred Kudlek, Radu Stefan Nicules...
DLT
2010
13 years 7 months ago
Inclusion Problems for Patterns with a Bounded Number of Variables
We study the inclusion problems for pattern languages that are generated by patterns with a bounded number of variables. This continues the work by Freydenberger and Reidenbach (In...
Joachim Bremer, Dominik D. Freydenberger
TCS
2002
13 years 5 months ago
Binary (generalized) Post Correspondence Problem
An instance of the (Generalized) Post Correspondence Problem is during the decision process typically reduced to one or more other instances, called its successors. In this paper ...
Vesa Halava, Tero Harju, Mika Hirvensalo
JAIR
2011
166views more  JAIR 2011»
13 years 16 days ago
Decidability and Undecidability Results for Propositional Schemata
We define a logic of propositional formula schemata adding to the syntax of propositional logic indexed propositions (e.g., pi) and iterated connectives ∨ or ∧ ranging over i...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...