TL;DR
The 2012 logic blog covers advances in randomness, computable analysis, and the complexity of equivalence relations, highlighting recent developments in algorithmic randomness, higher randomness, and their applications.
Contribution
It systematically explores various notions of algorithmic randomness and their interrelations, and introduces new perspectives on the complexity of equivalence relations in computability theory.
Findings
Enhanced understanding of randomness notions
New classifications of equivalence relations
Insights into higher randomness and ergodic theory
Abstract
The 2012 logic blog has focussed on the following: Randomness and computable analysis/ergodic theory; Systematizing algorithmic randomness notions; Traceability; Higher randomness; Calibrating the complexity of equivalence relations from computability theory and algebra.
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Taxonomy
TopicsSemantic Web and Ontologies · Logic, Reasoning, and Knowledge