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The classical view of epistemic logic is that an agent knows all the logical consequences of their knowledge base. This assumption of logical omniscience is often unrealistic and makes reasoning computationally intractable. One approach to…

人工智能 · 计算机科学 2018-05-09 Yijia Chen , Abdallah Saffidine , Christoph Schwering

We introduce a new semantics for a logic of explicit and implicit beliefs based on the concept of multi-agent belief base. Differently from existing Kripke-style semantics for epistemic logic in which the notions of possible world and…

人工智能 · 计算机科学 2018-12-19 Emiliano Lorini

We introduce a semantics for epistemic logic exploiting a belief base abstraction. Differently from existing Kripke-style semantics for epistemic logic in which the notions of possible world and epistemic alternative are primitive, in the…

计算机科学与博弈论 · 计算机科学 2019-07-23 Emiliano Lorini

We examine four approaches for dealing with the logical omniscience problem and their potential applicability: the syntactic approach, awareness, algorithmic knowledge, and impossible possible worlds. Although in some settings these…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Joseph Y. Halpern , Riccardo Pucella

The notion of argumentation and the one of belief stand in a problematic relation to one another. On the one hand, argumentation is crucial for belief formation: as the outcome of a process of arguing, an agent might come to (justifiably)…

计算机科学中的逻辑 · 计算机科学 2021-06-23 Alfredo Burrieza , Antonio Yuste-Ginel

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

Traditional cognitive science rests on a foundation of classical logic and probability theory. This foundation has been seriously challenged by several findings in experimental psychology on human decision making. Meanwhile, the formalism…

人工智能 · 计算机科学 2015-12-31 Diederik Aerts , Sandro Sozzo , Tomas Veloz

In many situations humans have to reason with inconsistent knowledge. These inconsistencies may occur due to not fully reliable sources of information. In order to reason with inconsistent knowledge, it is not possible to view a set of…

人工智能 · 计算机科学 2024-12-16 Nico Roos

We present a general logical framework for reasoning about agents' cognitive attitudes of both epistemic type and motivational type. We show that it allows us to express a variety of relevant concepts for qualitative decision theory…

人工智能 · 计算机科学 2023-06-22 Emiliano Lorini

Standard epistemic logics introduce a modal operator K to represent knowledge, but in doing so they presuppose the logical apparatus they aim to explain. By contrast, this paper explores how logic may be derived from the structure of…

计算机科学中的逻辑 · 计算机科学 2025-12-01 Alexader V. Gheorghiu , Tao Gu

Logical reasoning is central to human cognition and intelligence. It includes deductive, inductive, and abductive reasoning. Past research of logical reasoning within AI uses formal language as knowledge representation and symbolic…

计算与语言 · 计算机科学 2024-02-19 Zonglin Yang , Xinya Du , Rui Mao , Jinjie Ni , Erik Cambria

In recent work, Stalnaker proposes a logical framework in which belief is realized as a weakened form of knowledge. Building on Stalnaker's core insights, and using frameworks developed by Bjorndahl and Baltag et al., we employ topological…

计算机科学中的逻辑 · 计算机科学 2017-08-01 Adam Bjorndahl , Aybüke Özgün

In recent work, Stalnaker proposes a logical framework in which belief is realized as a weakened form of knowledge. Building on Stalnaker's core insights, and using frameworks developed in previous work by Bjorndahl and Baltag et al., we…

计算机科学中的逻辑 · 计算机科学 2020-11-25 Adam Bjorndahl , Aybüke Özgün

Quantum mechanics emerged as the result of a successful resolution of stringent empirical and profound conceptual conflicts within the development of atomic physics at the beginning of the last century. At first glance, it seems to be…

神经元与认知 · 定量生物学 2014-10-16 Reinhard Blutner , Peter beim Graben

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

Substantial efforts have been made in developing various Decision Modeling formalisms, both from industry and academia. A challenging problem is that of expressing decision knowledge in the context of incomplete knowledge. In such contexts,…

人工智能 · 计算机科学 2023-12-19 Đorđe Marković , Simon Vandevelde , Linde Vanbesien , Joost Vennekens , Marc Denecker

A modal logic based on quantum logic is formalized in its simplest possible form. Specifically, a relational semantics and a sequent calculus are provided, and the soundness and the completeness theorems connecting both notions are…

计算机科学中的逻辑 · 计算机科学 2025-11-14 Kenji Tokuo

We consider modeling the conception of knowledge in terms of temporal logic. The study of knowledge logical operations is originated around 1962 by representation of knowledge and belief using modalities. Nowadays, it is very good…

计算机科学中的逻辑 · 计算机科学 2014-05-06 Vladimir Rybakov

Epistemic logic has become a major field of philosophical logic ever since the groundbreaking work by Hintikka (1962). Despite its various successful applications in theoretical computer science, AI, and game theory, the technical…

人工智能 · 计算机科学 2016-11-24 Yanjing Wang

We introduce a novel semantics for a multi-agent epistemic operator of knowing how, based on an indistinguishability relation between plans. Our proposal is, arguably, closer to the standard presentation of knowing that modalities in…

计算机科学中的逻辑 · 计算机科学 2023-04-04 Carlos Areces , Raul Fervari , Andrés R. Saravia , Fernando R. Velázquez-Quesada
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