In this paper we show how to formalise false-belief tasks like the Sally-Anne task and the second-order chocolate task in Dynamic Epistemic Logic (DEL). False-belief tasks are used to test the strength of the Theory of Mind (ToM) of humans, that is, a human’s ability to attribute mental states to other agents. Having a ToM is known to be essential to human social intelligence, and hence likely ...

This paper aims to extend in two directions the probabilistic dynamic epistemic logic provided in Kooi’s paper [7] and to relate these extensions to ones made in [10]. Kooi’s probabilistic dynamic epistemic logic adds to probabilistic epistemic logic sentences that express consequences of public announcements. The paper [10] extends [7] to using action models, but in both papers, the probabilit...

Justification Logic is the study of a family of logics used to reason about justified true belief. Dynamic Epistemic Logic is the study of a family of logics obtained by adding various kinds of communication to the language of multi-modal logic, yielding languages for reasoning about communication and true belief. This paper is a first-step in merging these two areas, in that it brings the most...

This paper presents LTAG semantics of focus and focus-sensitive quantifiers which adopts alternative semantics of focus (Rooth 1985 and subsequent work). It proposes that focused lexical items make its contribution at the level of elementary trees, so that each elementary tree is associated with two semantic representations: its ordinary semantic representation and its focus representation. Bas...

In this paper, we extend existing accounts of high and low readings in counterfactual donkey sentences (van Rooij 2006, Walker and Romero 2015) to indicative donkey sentences. First, we generalize the account to indicative donkey sentences featuring modals that employ ordering sources. Then, we turn to indicative donkey sentences with adverbs of quantification. We discuss the relationship betwe...

This paper reports on an ongoing research on temporal adverbs and deals with the problem of processing a family of Portuguese and Spanish compound temporal adverbs, in a contrastive approach, aiming at building finite state transducers to translate them from one language into the other. Because of the large number of combinations involved and their complexity, it is not easy to list them in ful...

In his seminal work [Plaza, 1989], Plaza proposed the public announcement logic (PAL), which is considered as the pilot logic in the field of dynamic epistemic logic. In the same paper, Plaza also introduced an interesting “know-value” operator Kv and listed a few valid formulas of PAL+Kv. However, it is unknown that whether these formulas, on top of the axioms for PAL, completely axiomatize PA...

Abstract. The present paper contributes to the development of the mathematical theory of epistemic updates using the tools of duality theory. Here we focus on Probabilistic Dynamic Epistemic Logic (PDEL). We dually characterize the product update construction of PDEL-models as a certain construction transforming the complex algebras associated with the given model into the complex algebra assoc...

We propose an epistemic logic in which knowledge is fully introspective and implies truth, although truth need not imply epistemic possibility. The logic is presented in sequential format and is interpreted in a natural class of partial models, called balloon models. We examine the notions of honesty and circumscription in this logic: What is the state of an agent that ‘only knows φ’ and which ...

Dynamic Epistemic Logic (DEL) is the study of formal logics that reason about knowledge change. In DEL research, events that cause changes in knowledge are called updates. One class of updates—the BMS updates due to Baltag, Moss, and Solecki—has received much attention in the DEL literature because of the joint expressive power of the various BMS Logics based on these updates. There is, however...