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CIE
2009
Springer
14 years 2 months ago
Decidability of Sub-theories of Polynomials over a Finite Field
Abstract. Let Fq be a finite field with q elements. We produce an (effective) elimination of quantifiers for the structure of the set of polynomials, Fq[t], of one variable, in...
Alla Sirokofskich
CIE
2009
Springer
14 years 2 months ago
Complexity of Existential Positive First-Order Logic
Let Γ be a (not necessarily finite) structure with a finite relational signature. We prove that deciding whether a given existential positive sentence holds in Γ is in LOGSPACE...
Manuel Bodirsky, Miki Hermann, Florian Richoux
CIE
2009
Springer
14 years 2 months ago
Members of Random Closed Sets
Abstract. The members of Martin-L¨of random closed sets under a distribution studied by Barmpalias et al. are exactly the infinite paths through Martin-L¨of random Galton-Watson...
David Diamondstone, Bjørn Kjos-Hanssen
CIE
2009
Springer
13 years 11 months ago
Functions Definable by Arithmetic Circuits
An arithmetic circuit is a labelled, directed, acyclic graph specifying a cascade of arithmetic and logical operations to be performed on sets of non-negative integers. In this pap...
Ian Pratt-Hartmann, Ivo Düntsch
CIE
2009
Springer
14 years 2 months ago
Numberings and Randomness
Abstract. We prove various results on effective numberings and Friedberg numberings of families related to algorithmic randomness. The family of all Martin-L¨of random left-compu...
Paul Brodhead, Bjørn Kjos-Hanssen