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We argue that the notion of epistemic \emph{possible worlds} in constructivism (intuitionism) is not as the same as it is in classic view, and there are possibilities, called non-predetermined worlds, which are ignored in (classic)…

Logic in Computer Science · Computer Science 2013-02-06 Rasoul Ramezanian

At its core, abstraction is the process of generalizing from specific instances to broader concepts or models, with the primary objective of reducing complexity while preserving properties essential to the intended purpose. It is…

Logic in Computer Science · Computer Science 2026-01-06 Andrzej Szalas

How do people understand and evaluate claims about others' beliefs, even though these beliefs cannot be directly observed? In this paper, we introduce a cognitive model of epistemic language interpretation, grounded in Bayesian inferences…

Computation and Language · Computer Science 2025-04-21 Lance Ying , Tan Zhi-Xuan , Lionel Wong , Vikash Mansinghka , Joshua B. Tenenbaum

Impure simplicial complexes are a powerful tool to model multi-agent epistemic situations where agents may die, but it is difficult to define a satisfactory semantics for the ordinary propositional modal language on such models, since many…

Logic in Computer Science · Computer Science 2025-12-01 Yuanzhe Yang

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…

Artificial Intelligence · Computer Science 2016-11-24 Yanjing Wang

We develop a framework for epistemic logic that combines relevant modal logic with classical propositional logic. In our framework the agent is modeled as reasoning in accordance with a relevant modal logic while the propositional fragment…

Logic in Computer Science · Computer Science 2022-06-08 Igor Sedlár , Pietro Vigiani

The paper presents an extension of temporal epistemic logic with operators that quantify over strategies. The language also provides a natural way to represent what agents would know were they to be aware of the strategies being used by…

Logic in Computer Science · Computer Science 2014-04-04 Xiaowei Huang , Ron van der Meyden

This paper presents a novel possible worlds semantics, designed to elucidate the underpinnings of ultrafinitism. By constructing a careful modification of the well-known Kripke models for inuitionistic logic, we seek to extend our…

Logic · Mathematics 2023-12-01 Mirco A. Mannucci

Epistemic logics of intensional groups lift the assumption that membership in a group of agents is common knowledge. Instead of being represented directly as a set of agents, intensional groups are represented by a property that may change…

Logic in Computer Science · Computer Science 2023-07-12 Marta Bílková , Igor Sedlár

While there have been many attempts, going back to BAN logic, to base reasoning about security protocols on epistemic notions, they have not been all that successful. Arguably, this has been due to the particular logics chosen. We present a…

Cryptography and Security · Computer Science 2017-07-28 Joseph Y. Halpern , Ron van der Meyden , Riccardo Pucella

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…

Logic in Computer Science · Computer Science 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…

Logic in Computer Science · Computer Science 2020-11-25 Adam Bjorndahl , Aybüke Özgün

Epistemic reasoning requires agents to infer the state of the world from partial observations and information about other agents' knowledge. Prior work evaluating LLMs on canonical epistemic puzzles interpreted their behavior through a…

Computation and Language · Computer Science 2026-03-24 Adi Gabay , Gabriel Stanovsky , Liat Peterfreund

AI applications across classification, fairness, and human interaction often implicitly require ontologies of social concepts. Constructing these well, especially when there are many relevant categories, is a controversial task but is…

Computers and Society · Computer Science 2024-08-06 Tyler Fischella , Erin van Liemt , Qiuyi , Zhang

In this paper we introduce a simple modal logic framework to reason about the expertise of an information source. In the framework, a source is an expert on a proposition $p$ if they are able to correctly determine the truth value of $p$ in…

Logic in Computer Science · Computer Science 2021-07-23 Joseph Singleton

In this paper, we present an alternative interpretation of propositional inquisitive logic as an epistemic logic of knowing how. In our setting, an inquisitive logic formula $\alpha$ being supported by a state is formalized as "knowing how…

Logic · Mathematics 2022-06-06 Haoyu Wang , Yanjing Wang , Yunsong Wang

Non-additive uncertainty theories, typically possibility theory, belief functions and imprecise probabilities share a common feature with modal logic: the duality properties between possibility and necessity measures, belief and…

Artificial Intelligence · Computer Science 2023-03-24 Didier Dubois , Lluis Godo , Henri Prade

Humans currently use arguments for explaining choices which are already made, or for evaluating potential choices. Each potential choice has usually pros and cons of various strengths. In spite of the usefulness of arguments in a decision…

Artificial Intelligence · Computer Science 2012-07-19 Leila Amgoud , Henri Prade

In dialogical argumentation it is often assumed that the involved parties always correctly identify the intended statements posited by each other, realize all of the associated relations, conform to the three acceptability states (accepted,…

Artificial Intelligence · Computer Science 2017-12-11 Sylwia Polberg , Anthony Hunter

In this work, we show that both logic programming and abstract argumentation frameworks can be interpreted in terms of Nelson's constructive logic N4. We do so by formalizing, in this logic, two principles that we call non-contradictory…

Artificial Intelligence · Computer Science 2022-03-29 Jorge Fandinno , Luis Fariñas del Cerro