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09/08/2020
Completeness in Polylogarithmic Time and Space
Complexity theory can be viewed as the study of the relationship between...
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01/07/2020
Behavioural Theory of Reflective Algorithms I: Reflective Sequential Algorithms
We develop a behavioural theory of reflective sequential algorithms (RSA...
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11/29/2019
Proper Hierarchies in Polylogarithmic Time and Absence of Complete Problems
The polylogarithmic time hierarchy structures sub-linear time complexity...
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11/29/2019
A Restricted Second-Order Logic for Non-deterministic Poly-Logarithmic Time
We introduce a restricted second-order logic SO^plog for finite structur...
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03/08/2019
Descriptive Complexity of Deterministic Polylogarithmic Time
We propose a logical characterization of problems solvable in determinis...
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06/19/2018
The Polylog-Time Hierarchy Captured by Restricted Second-Order Logic
Let SO^plog denote the restriction of second-order logic, where second-o...
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04/16/2018
