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The standard approach to logic in the literature in philosophy and mathematics, which has also been adopted in computer science, is to define a language (the syntax), an appropriate class of models together with an interpretation of…

人工智能 · 计算机科学 2009-09-25 Joseph Y. Halpern

Autoepistemic logic extends propositional logic by the modal operator L. A formula that is preceded by an L is said to be "believed". The logic was introduced by Moore 1985 for modeling an ideally rational agent's behavior and reasoning…

计算机科学中的逻辑 · 计算机科学 2010-06-02 Nadia Creignou , Arne Meier , Michael Thomas , Heribert Vollmer

This chapter provides an introduction to some basic concepts of epistemic logic, basic formal languages, their semantics, and proof systems. It also contains an overview of the handbook, and a brief history of epistemic logic and pointers…

人工智能 · 计算机科学 2015-03-04 Hans van Ditmarsch , Joseph Y. Halpern , Wiebe van der Hoek , Barteld Kooi

Heyting-Lewis Logic is the extension of intuitionistic propositional logic with a strict implication connective that satisfies the constructive counterparts of axioms for strict implication provable in classical modal logics. Variants of…

逻辑 · 数学 2026-03-02 Jim de Groot , Tadeusz Litak , Dirk Pattinson

As the interest in Artificial Intelligence continues to grow it is becoming more and more important to investigate formalization and tools that allow us to exploit logic to reason about the world. In particular, given the increasing number…

人工智能 · 计算机科学 2019-09-19 Francesco Fabiano

In this paper, we generalize epistemic logic so that it can help reason about ways of combining common knowledge and distributed knowledge such as "common distributed knowledge", "distributed common knowledge", "distributed common…

计算机科学中的逻辑 · 计算机科学 2025-12-01 Chenwei Shi

We explore a fuzzy modal logic that can formalise probabilistic reasoning about actions and knowledge. In particular, we deal with contexts involving statements about events expressed via modal formulas, e.g., "after doing $a$, the…

计算机科学中的逻辑 · 计算机科学 2026-04-27 Daniil Kozhemiachenko , Igor Sedlár

We introduce a logic for reasoning about evidence, that essentially views evidence as a function from prior beliefs (before making an observation) to posterior beliefs (after making the observation). We provide a sound and complete…

人工智能 · 计算机科学 2014-07-29 Joseph Y. Halpern , Riccardo Pucella

Quantified Boolean logic results from adding operators to Boolean logic for existentially and universally quantifying variables. This extends the reach of Boolean logic by enabling a variety of applications that have been explored over the…

人工智能 · 计算机科学 2021-10-13 Adnan Darwiche , Pierre Marquis

The paper investigates an evidence-based semantics for epistemic logics. It is shown that the properties of knowledge obtained from a potentially infinite body of evidence are described by modal logic S5. At the same time, the properties of…

计算机科学中的逻辑 · 计算机科学 2021-06-23 Pavel Naumov , Jia Tao

We introduce a logic for reasoning about evidence that essentially views evidence as a function from prior beliefs (before making an observation) to posterior beliefs (after making the observation). We provide a sound and complete…

人工智能 · 计算机科学 2007-05-23 Joseph Y. Halpern , Riccardo Pucella

The paper suggests a definition of "know who" as a modality using Grove-Halpern semantics of names. It also introduces a logical system that describes the interplay between modalities "knows who", "knows", and "for all agents". The main…

人工智能 · 计算机科学 2021-03-04 Sophia Epstein , Pavel Naumov

This position paper defends post-hoc explainability methods as legitimate tools for scientific knowledge production in machine learning. Addressing criticism of these methods' reliability and epistemic status, we develop a philosophical…

机器学习 · 计算机科学 2025-10-31 Nick Oh

We consider dynamic versions of epistemic logic as formulated in Baltag and Moss "Logics for epistemic programs" (2004). That paper proposed a logical language (actually families of languages parameterized by action signatures) for dynamic…

计算机科学中的逻辑 · 计算机科学 2022-03-15 Alexandru Baltag , Lawrence S. Moss , Slawomir Solecki

By using the abstract structures investigated in the first Part of this article, we develop a semantics for an epistemic language, which expresses sentences like "Alice knows that Bob does not understand that PI is irrational". One is…

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…

计算机科学中的逻辑 · 计算机科学 2018-09-05 Bastien Maubert , Aniello Murano

This paper develops a comprehensive framework for artificial intelligence systems that operate under strict epistemic constraints, moving beyond stochastic language prediction to support structured reasoning, propositional commitment, and…

计算机科学中的逻辑 · 计算机科学 2025-06-24 Craig Steven Wright

Some critical open problems of epistemic logics can be investigated in the framework of a quantum computational approach. The basic idea is to interpret sentences - like Alice knows that Bob does not understand that Pi is irrational - as…

Moores Paradox is a test case for any formal theory of belief. In Knowledge and Belief, Hintikka developed a multimodal logic for statements that express sentences containing the epistemic notions of knowledge and belief. His account…

计算机科学中的逻辑 · 计算机科学 2020-06-23 Andrés Páez

This paper proposes an alternative to standard first-order logic that seeks greater naturalness, generality, and semantic self-containment. The system removes the first-order restriction, avoids type hierarchies, and dispenses with external…

逻辑 · 数学 2025-08-12 Mauro Avon