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Book chapter · Conference paper

A Dynamic Logic for Learning Theory

From

University of Amsterdam1

Department of Applied Mathematics and Computer Science, Technical University of Denmark2

Algorithms and Logic, Department of Applied Mathematics and Computer Science, Technical University of Denmark3

Building on previous work that bridged Formal Learning Theory and Dynamic Epistemic Logic in a topological setting, we introduce a Dynamic Logic for Learning Theory (DLLT), extending Subset Space Logics with dynamic observation modalities, as well as with a learning operator, which encodes the learner’s conjecture after observing a finite sequence of data.

We completely axiomatise DLLT, study its expressivity and use it to characterise various notions of knowledge, belief, and learning. 

Language: English
Publisher: Springer
Year: 2018
Pages: 35-54
Proceedings: DaLi - Dynamic Logic: new trends and applications 2017
Series: Lecture Notes in Computer Science
Journal subtitle: First International Workshop, Dali 2017, Brasilia, Brazil, September 23-24, 2017, Proceedings
ISBN: 3319735780 , 3319735799 , 9783319735788 and 9783319735795
ISSN: 16113349 and 03029743
Types: Book chapter and Conference paper
DOI: 10.1007/978-3-319-73579-5_3
ORCIDs: 0000-0002-0646-2017 and Gierasimczuk, Nina

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