A dynamic logic for learning theory

Open Access
Authors
Publication date 2018
Host editors
  • A. Madeira
  • M. Benevides
Book title Dynamic Logic. New Trends and Applications
Book subtitle First International Workshop, DALI 2017, Brasilia, Brazil, September 23-24, 2017 : proceedings
ISBN
  • 9783319735788
ISBN (electronic)
  • 9783319735795
Series Lecture Notes in Computer Science
Event 1st International Workshop Dynamic Logic. New Trends and Applications
Pages (from-to) 35-54
Number of pages 20
Publisher Cham: Springer
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract

Building on previous work [4, 5] 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 [9, 17] with dynamic observation modalities [o]φ, as well as with a learning operator L(o) , which encodes the learner’s conjecture after observing a finite sequence of data o. We completely axiomatise DLLT, study its expressivity and use it to characterise various notions of knowledge, belief, and learning.

Document type Conference contribution
Note The research of Nina Gierasimczuk is supported by an Innovational Research Incentives Scheme Veni grant 275-20-043, Netherlands Organisation for Scientific Research (NWO) and by the OPUS grant 2015/19/B/HS1/03292, National Science Centre Poland (NCN). Aybüke Özgün acknowledges financial support from European Research Council grant EPS 313360.
Language English
Related publication A Dynamic Logic for Learning Theory
Published at https://doi.org/10.1007/978-3-319-73579-5_3
Other links https://www.scopus.com/pages/publications/85041097916
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