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Chapter
Ivan Soskov: A Life in Computability
On May 5, 2013, the Bulgarian logic community lost one of its prominent members—Ivan Nikolaev Soskov. In this paper we shall give a glimpse of his scientific achievements.
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Chapter and Conference Paper
On a Relative Computability Notion for Real Functions
For any class of total functions in the set of natural numbers, we define what it means for a real function to be conditionally computable with respect to this class. This notion extends a notion of relative u...
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Chapter and Conference Paper
A Subrecursive Refinement of the Fundamental Theorem of Algebra
Let us call an approximator of a complex number α any sequence γ 0,γ 1,γ 2,... of rational complex numbers such that
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Chapter and Conference Paper
Characterization of the Computable Real Numbers by Means of Primitive Recursive Functions
One usually defines the notion of a computable real number by using recursive functions. However, there is a simple way due to A. Mostowski to characterize the computable real numbers by using only primitive r...
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Chapter and Conference Paper
On multi-valued homomorphisms