Evidence in epistemic logic: a topological perspective

A Özgün - 2017 - eprints.illc.uva.nl
This dissertation studies logics of knowledge, belief and information dynamics using
topological spaces as models. It is concerned with the formal representation of evidence and …

A topological approach to full belief

A Baltag, N Bezhanishvili, A Özgün, S Smets - Journal of Philosophical …, 2019 - Springer
Abstract Stalnaker (Philosophical Studies, 128 (1), 169–199 2006) introduced a combined
epistemic-doxastic logic that can formally express a strong concept of belief, a concept of …

Subset space logic with arbitrary announcements

P Balbiani, H Van Ditmarsch, A Kudinov - Indian Conference on Logic and …, 2013 - Springer
In this paper we introduce public announcements to Subset Space Logic (SSL). In order to
do this we have to change the original semantics for SSL a little and consider a weaker …

The topology of full and weak belief

A Baltag, N Bezhanishvili, A Özgün, S Smets - … Tbilisi symposium on logic …, 2015 - Springer
We introduce a new topological semantics for belief logics in which the belief modality is
interpreted as the interior of the closure of the interior operator. We show that the system …

Subset space public announcement logic

YN Wáng, T Ågotnes - Logic and Its Applications: 5th Indian Conference …, 2013 - Springer
The logic of public announcements has received great interest in recent years. In this paper
we give an account of public announcements in terms of the semantics of subset space logic …

Announcement as effort on topological spaces

H van Ditmarsch, S Knight, A Özgün - Synthese, 2019 - Springer
We propose a multi-agent logic of knowledge, public announcements and arbitrary
announcements, interpreted on topological spaces in the style of subset space semantics …

[PDF][PDF] Multi-agent subset space logic

YN Wang, T Agotnes - Twenty-Third International Joint Conference on …, 2013 - Citeseer
Subset space logics have been introduced and studied as a framework for reasoning about
a notion of effort in epistemic logic. The seminal Subset Space Logic (SSL) by Moss and …

An examination of counterexamples in proofs and refutations

S Bağçe, C Başkent - … Scientiæ. Travaux d'histoire et de …, 2009 - journals.openedition.org
Lakatos's seminal work Proofs and Refutations introduced the methods of proofs and
refutations by discussing the history and methodological development of Euler's formula V …

Arbitrary announcements on topological subset spaces

H van Ditmarsch, S Knight, A Özgün - European Conference on Multi …, 2014 - Springer
Subset space semantics for public announcement logic in the spirit of the effort modality
have been proposed by Wang and Ågotnes 18 and by Bjorndahl 6. They propose to model …

Topological models for belief and belief revision

A Özgün - 2013 - eprints.illc.uva.nl
We introduce a new topological semantics for belief logics in which the belief modality is
interpreted as the closure of the interior operator. We show that our semantics validates the …