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Epistemic logics model how agents reason about their beliefs and the beliefs of other agents. Existing logics typically assume the ability of agents to reason perfectly about propositions of unbounded modal depth. We present DBEL, an…

Artificial Intelligence · Computer Science 2023-07-17 Farid Arthaud , Martin Rinard

We present Dynamic Epistemic Temporal Logic, a framework for reasoning about operations on multi-agent Kripke models that contain a designated temporal relation. These operations are natural extensions of the well-known "action models" from…

Logic in Computer Science · Computer Science 2014-11-25 Bryan Renne , Joshua Sack , Audrey Yap

Inspired by the concepts of deep learning in artificial intelligence and fairness in behavioural economics, we introduce deep teams in this paper. In such systems, agents are partitioned into a few sub-populations so that the dynamics and…

Optimization and Control · Mathematics 2020-06-03 Jalal Arabneydi , Amir G. Aghdam

Epistemic logics model how agents reason about their beliefs and the beliefs of other agents. Existing logics typically assume the ability of agents to reason perfectly about propositions of unbounded modal depth. We present DBEL, an…

Logic in Computer Science · Computer Science 2023-05-16 Farid Arthaud , Martin Rinard

Although many investigators affirm a desire to build reasoning systems that behave consistently with the axiomatic basis defined by probability theory and utility theory, limited resources for engineering and computation can make a complete…

Artificial Intelligence · Computer Science 2013-04-11 Eric J. Horvitz

We present a substructural epistemic logic, based on Boolean BI, in which the epistemic modalities are parametrized on agents' local resources. The new modalities can be seen as generalizations of the usual epistemic modalities. The logic…

Logic in Computer Science · Computer Science 2019-09-17 Didier Galmiche , Pierre Kimmel , David Pym

A perfectly rational decision-maker chooses the best action with the highest utility gain from a set of possible actions. The optimality principles that describe such decision processes do not take into account the computational costs of…

Artificial Intelligence · Computer Science 2013-12-25 Jordi Grau-Moya , Daniel A. Braun

This paper presents a two-dimensional modal logic for reasoning about the changing patterns of knowledge and social relationships in networks organised on the basis of a symmetric 'friendship' relation, providing a precise language for…

Logic in Computer Science · Computer Science 2013-10-29 Jeremy Seligman , Fenrong Liu , Patrick Girard

Two distinct semantics have been considered for knowledge in the context of strategic reasoning, depending on whether players know each other's strategy or not. The problem of distributed synthesis for epistemic temporal specifications is…

Logic in Computer Science · Computer Science 2018-09-05 Bastien Maubert , Aniello Murano

This paper combines the classical model of labeled transition systems with the epistemic model for reasoning about knowledge. The result is a unifying framework for modeling and analyzing multi-agent, knowledge-based, dynamic systems. On…

Artificial Intelligence · Computer Science 2025-12-03 Alessandro Aldini

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 researcher observes a finite sequence of choices made by multiple agents in a binary-state environment. Agents maximize expected utilities that depend on their chosen alternative and the unknown underlying state. Agents learn about the…

Theoretical Economics · Economics 2021-05-11 Rahul Deb , Ludovic Renou

The dominant theories of rational choice assume logical omniscience. That is, they assume that when facing a decision problem, an agent can perform all relevant computations and determine the truth value of all relevant logical/mathematical…

Artificial Intelligence · Computer Science 2023-07-12 Caspar Oesterheld , Abram Demski , Vincent Conitzer

Information retrieval is a cornerstone of modern knowledge acquisition, enabling billions of queries each day across diverse domains. However, traditional keyword-based search engines are increasingly inadequate for handling complex,…

Dynamic Epistemic Logic makes it possible to model and reason about information change in multi-agent systems. Information change is mathematically modeled through epistemic action Kripke models introduced by Baltag et al. Also, van…

Logic in Computer Science · Computer Science 2016-11-26 Mohammad Ardeshir Rasoul Ramezanian

Temporal epistemic logic is a well-established framework for expressing agents knowledge and how it evolves over time. Within language-based security these are central issues, for instance in the context of declassification. We propose to…

Cryptography and Security · Computer Science 2012-09-03 Musard Balliu , Mads Dam , Gurvan Le Guernic

We study non-monetary mechanisms for the fair and efficient allocation of reusable public resources, i.e., resources used for varying durations. We consider settings where a limited resource is repeatedly shared among a set of agents, each…

Computer Science and Game Theory · Computer Science 2023-10-17 Siddhartha Banerjee , Giannis Fikioris , Éva Tardos

As large language models (LLMs) become more specialized, we envision a future where millions of expert LLMs exist, each trained on proprietary data and excelling in specific domains. In such a system, answering a query requires selecting a…

We provide algebraic semantics together with a sound and complete sequent calculus for information update due to epistemic actions. This semantics is flexible enough to accommodate incomplete as well as wrong information e.g.due to secrecy…

Logic · Mathematics 2007-05-23 Alexandru Baltag , Bob Coecke , Mehrnoosh Sadrzadeh

Solving mathematical reasoning problems requires not only accurate access to relevant knowledge but also careful, multi-step thinking. However, current retrieval-augmented models often rely on a single perspective, follow inflexible search…

Artificial Intelligence · Computer Science 2025-11-03 Ali Asgarov , Umid Suleymanov , Aadyant Khatri