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By Thomas Ågotnes, Paul Harrenstein, Wiebe van der Hoek, Michael Wooldridge (auth.), Davide Grossi, Olivier Roy, Huaxin Huang (eds.)

This publication collects the papers awarded on the 4th overseas Workshop on common sense, Rationality and interplay/ (LORI-4), held in October 2013 on the /Center for the research of Language and Cognition, Zhejiang collage, Hangzhou, China. LORI is a chain that brings jointly researchers from various logic-related fields: online game and selection conception, Philosophy, Linguistics, computing device technology and AI. This 12 months had a unique emphasis on Norms and Argumentation. Out of forty two submissions, 23 complete papers and eleven brief contributions were chosen via peer-review for inclusion within the workshop software and during this quantity. the standard and variety of those contributions witnesses a full of life, fast-growing, and interdisciplinary group operating on the intersection of common sense and rational interaction.

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Extra info for Logic, Rationality, and Interaction: 4th International Workshop, LORI 2013, Hangzhou, China, October 9-12, 2013, Proceedings

Example text

Topological Updates. As recognized already in [27] (among others), the natural topological analogue of dynamic conditioning (update) is the operation of taking the restriction (or “relativization”) of a topology τ on X to a subset P ⊆ X. What we obtain in this way is a subspace of the original topological space. Given a topological space (X, τ ) and a set P ⊆ X, a space (P, τP ) is called a subspace of (X, τ ) if τP = {U ∩ P : U ∈ τ }. It is well-known that the closure and interior operators in the relativized topology (P, τP ), denoted by ClτP and IntτP respectively, satisfy the following equations for every A ⊆ P : ClτP (A) = Cl(A) ∩ P, IntτP (A) = Int((X \ P ) ∪ A) ∩ P.

G. g. consistent, introspective, possibly false) notion of belief. Most research in formal epistemology follows the first approach. e. 918 and the Rustaveli Science Foundation of Georgia grant FR/489/5-105/11. S. Smets contribution to this paper has received funding from the ERC under the European Community’s 7th Framework Programme/ERC Grant agreement no. 283963. D. Grossi, O. Roy, and H. ): LORI 2013, LNCS 8196, pp. 27–40, 2013. c Springer-Verlag Berlin Heidelberg 2013 28 A. Baltag et al. e. A ⊆ P ).

We recall that a point x is called a limit point (limit points are also called accumulation points) of a set A ⊆ X if for each open neighbourhood U of x we have (U \ {x}) ∩ A = ∅. Let d(A) denote the set of all limit points of A. This set is called the derived set and d is called the derived set operator. For each A ⊆ X we let t(A) = X \ d(X \ A). We call t the co-derived set operator. Also recall that there is a close connection between the derived and co-derived set operators and the closure and interior operators.

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