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Arbitrary public announcement logic (APAL) reasons about how the knowledge of a set of agents changes after true public announcements and after arbitrary announcements of true epistemic formulas. We consider a variant of arbitrary public…

Logic in Computer Science · Computer Science 2021-11-30 Hans van Ditmarsch , Tim French , James Hales

In standard epistemic logic, knowing that p is the same as knowing that p is true, but it does not say anything about understanding p or knowing its meaning. In this paper, we present a conservative extension of Public Announcement Logic…

Logic in Computer Science · Computer Science 2019-07-23 Malvin Gattinger , Yanjing Wang

In this paper, we address the logic of knowing why, an example of a non-standard epistemic logic dealing with justified knowledge via a new epistemic operator, under the extensions with ideas from dynamic epistemic logic, namely public…

Logic · Mathematics 2018-09-24 Nicholas Pischke

In [Van Benthem 2007] the concept of a public announcement is used to study the effect of the iterated elimination of strictly dominated strategies. We offer a simple generalisation of this approach to cover arbitrary strategic games and…

Computer Science and Game Theory · Computer Science 2010-12-24 Krzysztof R. Apt , Jonathan A. Zvesper

We propose a multi-agent logic of knowledge, public and arbitrary announcements, that is interpreted on topological spaces in the style of subset space semantics. The arbitrary announcement modality functions similarly to the effort…

Logic in Computer Science · Computer Science 2016-06-27 Hans van Ditmarsch , Sophia Knight , Aybüke Özgün

We propose a multi-agent epistemic logic of asynchronous announcements, where truthful announcements are publicly sent but individually received by agents, and in the order in which they were sent. Additional to epistemic modalities the…

Artificial Intelligence · Computer Science 2021-01-19 Philippe Balbiani , Hans van Ditmarsch , Saúl Fernández González

A true lie is a lie that becomes true when announced. In a logic of announcements, where the announcing agent is not modelled, a true lie is a formula (that is false and) that becomes true when announced. We investigate true lies and other…

Artificial Intelligence · Computer Science 2018-02-06 Thomas Ågotnes , Hans van Ditmarsch , Yanjing Wang

Dynamic epistemic logics which model abilities of agents to make various announcements and influence each other's knowledge have been studied extensively in recent years. Two notable examples of such logics are Group Announcement Logic and…

Logic in Computer Science · Computer Science 2017-07-28 Rustam Galimullin , Natasha Alechina

A shallow semantical embedding for public announcement logic with relativized common knowledge is presented. This embedding enables the first-time automation of this logic with off-the-shelf theorem provers for classical higher-order logic.…

Artificial Intelligence · Computer Science 2020-10-05 Sebastian Reiche , Christoph Benzmüller

Dynamic epistemic logics which model abilities of agents to make various announcements and influence each other's knowledge have been studied extensively in recent years. Two notable examples of such logics are Group Announcement Logic and…

Logic in Computer Science · Computer Science 2018-10-08 Rustam Galimullin , Natasha Alechina

We reformulate a key definition given by Wang and Agotnes (2013) to provide semantics for public announcements in subset spaces. More precisely, we interpret the precondition for a public announcement of {\phi} to be the "local truth" of…

Logic · Mathematics 2016-12-08 Adam Bjorndahl

Many anonymous communication networks (ACNs) with different privacy goals have been developed. However, there are no accepted formal definitions of privacy and ACNs often define their goals and adversary models ad hoc. However, for the…

Cryptography and Security · Computer Science 2019-01-17 Christiane Kuhn , Martin Beck , Stefan Schiffner , Eduard Jorswieck , Thorsten Strufe

Various extensions of public announcement logic have been proposed with quantification over announcements. The best-known extension is called arbitrary public announcement logic, APAL. It contains a primitive language construct Box phi…

Logic in Computer Science · Computer Science 2023-06-22 Hans van Ditmarsch , Tim French

Quantification over public announcements shifts the perspective from reasoning strictly about the results of a particular announcement to reasoning about the existence of an announcement that achieves some certain epistemic goal. Depending…

Logic in Computer Science · Computer Science 2021-06-23 Hans van Ditmarsch , Tim French , Rustam Galimullin

Logical investigations of the notion of secrecy are typically concentrated on tools for deducing whether private information is well hidden from unauthorized, direct, or indirect access attempts. This paper proposes a multi-agent, normal…

Communication is secret if a message is independent of the state; however, the receiver's subsequent action may still reveal that she has acted on hidden information. This paper studies when secret communication can also provide plausible…

Theoretical Economics · Economics 2026-05-12 Xiaoyu Cheng , Yonggyun Kim , Michael P. H. Tam

Anonymity has gained notoriety in modern times as data about our actions and choices accumulates in the internet partly unbeknownst to us and partly by our own choice. Usually people wish some data about themselves were private while some…

Cryptography and Security · Computer Science 2022-10-17 Jouko Väänänen

We provide a simple proof of the completeness of arbitrary public announcement logic APAL. The proof is an improvement over the proof found in the publication Knowable as Known after an Announcement.

Logic in Computer Science · Computer Science 2018-02-06 Philippe Balbiani , Hans van Ditmarsch

A shallow semantical embedding for public announcement logic with relativized common knowledge is presented. This embedding enables the first-time automation of this logic with off-the-shelf theorem provers for classical higher-order logic.…

Artificial Intelligence · Computer Science 2022-12-12 Christoph Benzmüller , Sebastian Reiche

The problem of $A$ privately transmitting information to $B$ by a public announcement overheard by an eavesdropper $C$ is considered. To do so by a deterministic protocol, their inputs must be correlated. Dependent inputs are represented…

Cryptography and Security · Computer Science 2020-09-30 Sergio Rajsbaum
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