5 research outputs found
Learning Action Models: Qualitative Approach
In dynamic epistemic logic, actions are described using action models. In
this paper we introduce a framework for studying learnability of action models
from observations. We present first results concerning propositional action
models. First we check two basic learnability criteria: finite identifiability
(conclusively inferring the appropriate action model in finite time) and
identifiability in the limit (inconclusive convergence to the right action
model). We show that deterministic actions are finitely identifiable, while
non-deterministic actions require more learning power-they are identifiable in
the limit. We then move on to a particular learning method, which proceeds via
restriction of a space of events within a learning-specific action model. This
way of learning closely resembles the well-known update method from dynamic
epistemic logic. We introduce several different learning methods suited for
finite identifiability of particular types of deterministic actions.Comment: 18 pages, accepted for LORI-V: The Fifth International Conference on
Logic, Rationality and Interaction, October 28-31, 2015, National Taiwan
University, Taipei, Taiwa
A Modal Logic for Supervised Learning
Formal learning theory formalizes the process of inferring a general result from examples, as in the case of inferring grammars from sentences when learning a language. In this work, we develop a general framework—the supervised learning game—to investigate the interaction between Teacher and Learner. In particular, our proposal highlights several interesting features of the agents: on the one hand, Learner may make mistakes in the learning process, and she may also ignore the potential relation between different hypotheses; on the other hand, Teacher is able to correct Learner’s mistakes, eliminate potential mistakes and point out the facts ignored by Learner. To reason about strategies in this game, we develop a modal logic of supervised learning and study its properties. Broadly, this work takes a small step towards studying the interaction between graph games, logics and formal learning theory.acceptedVersio
Learning by Erasing in Dynamic Epistemic Logic
Abstract. This work provides a comparison of learning by erasing [1] and iterated epistemic update [2] as analyzed in dynamic epistemic logic (see e.g. [3]). We show that finite identification can be modelled in dy-namic epistemic logic and that the elimination process of learning by erasing can be seen as iterated belief-revision modelled in dynamic dox-astic logic. Key words: identification in the limit, learning by erasing, induction, learning by elimination, co-learning, finite identifiability, dynamic epis-temic logic, epistemic update, belief revision