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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,…

Artificial Intelligence · Computer Science 2023-12-19 Đorđe Marković , Simon Vandevelde , Linde Vanbesien , Joost Vennekens , Marc Denecker

Authorization logics have been used in the theory of computer security to reason about access control decisions. In this work, a formal belief semantics for authorization logics is given. The belief semantics is proved to subsume a standard…

Logic in Computer Science · Computer Science 2013-08-06 Andrew K. Hirsch , Michael R. Clarkson

We introduce an expressive probabilistic temporal epistemic logic PTEL suitable to reason about uncertain knowledge of a non-rigid set of agents that can be changed during time. We define semantics for PTEL as Kripke models with epistemic…

Logic · Mathematics 2021-05-27 Zoran Ognjanović , Angelina Ilić Stepić , Aleksandar Perović

Subset models provide a new semantics for justifcation logic. The main idea of subset models is that evidence terms are interpreted as sets of possible worlds. A term then justifies a formula if that formula is true in each world of the…

Logic in Computer Science · Computer Science 2023-10-06 Eveline Lehmann , Thomas Studer

This paper belongs to the field of probabilistic modal logic, focusing on a comparative analysis of two distinct semantics: one rooted in Kripke semantics and the other in neighbourhood semantics. The primary distinction lies in the…

Logic · Mathematics 2024-04-25 Nino Guallart

The language of epistemic specifications and epistemic logic programs extends disjunctive logic programs under the stable model semantics with modal constructs called subjective literals. Using subjective literals, it is possible to check…

Artificial Intelligence · Computer Science 2021-10-06 Jorge Fandinno , Wolfgang Faber , Michael Gelfond

Plausibility models are Kripke models that agents use to reason about knowledge and belief, both of themselves and of each other. Such models are used to interpret the notions of conditional belief, degrees of belief, and safe belief. The…

Artificial Intelligence · Computer Science 2018-02-06 Mikkel Birkegaard Andersen , Thomas Bolander , Hans van Ditmarsch , Martin Holm Jensen

There is a lively debate in the current literature on epistemology on which type of ignorance may provide a moral excuse. A good candidate is the one in which an agent has never thought about or considered as true a proposition $p$. From a…

Logic · Mathematics 2025-11-06 Ekaterina Kubyshkina , Marcio Kléos Pereira , Mattia Petrolo

Despite the fact that beliefs are mental states that cannot be directly observed, humans talk about each others' beliefs on a regular basis, often using rich compositional language to describe what others think and know. What explains this…

Artificial Intelligence · Computer Science 2024-07-10 Lance Ying , Tan Zhi-Xuan , Lionel Wong , Vikash Mansinghka , Joshua Tenenbaum

Kripke frames (and models) provide a suitable semantics for sub-classical logics, for example Intuitionistic Logic (of Brouwer and Heyting) axiomatizes the reflexive and transitive Kripke frames (with persistent satisfaction relations), and…

Logic · Mathematics 2019-07-02 Parvin Safari , Saeed Salehi

Intuitionistic epistemic logic introduces an epistemic operator, which reflects the intended BHK semantics of intuitionism, to intuitionistic logic. The fundamental assumption concerning intuitionistic knowledge and belief is that it is the…

Logic · Mathematics 2016-01-14 Tudor Protopopescu

An epistemic ensemble is composed of knowledge-based agents capable of retrieving and sharing knowledge and beliefs about themselves and their peers. These agents access a global knowledge state and use actions to communicate and cooperate,…

Software Engineering · Computer Science 2024-08-05 Rolf Hennicker , Alexander Knapp , Martin Wirsing

In this paper we consider Epistemic Logic Programs, which extend Answer Set Programming (ASP) with "epistemic operators" and "epistemic negation", and a recent approach to the semantics of such programs in terms of World Views. We propose…

Artificial Intelligence · Computer Science 2020-02-19 Stefania Costantini

We introduce a new logic of graded distributed belief that allows us to express the fact that a group of agents distributively believe that a certain fact holds with at least strength k. We interpret our logic by means of computationally…

Logic in Computer Science · Computer Science 2025-12-01 Emiliano Lorini , Dmitry Rozplokhas

We introduce a new semantics for justification logic based on subset relations. Instead of using the established and more symbolic interpretation of justifications, we model justifications as sets of possible worlds. We introduce a new…

Logic · Mathematics 2020-08-19 Eveline Lehmann , Thomas Studer

Epistemic logic programs constitute an extension of the stable models semantics to deal with new constructs called subjective literals. Informally speaking, a subjective literal allows checking whether some regular literal is true in all…

Artificial Intelligence · Computer Science 2021-07-01 Pedro Cabalar , Jorge Fandinno , Luis Fariñas del Cerro

Justification logics are epistemic logics that explicitly include justifications for the agents' knowledge. We develop a multi-agent justification logic with evidence terms for individual agents as well as for common knowledge. We define a…

Logic in Computer Science · Computer Science 2023-08-01 Samuel Bucheli , Roman Kuznets , Thomas Studer

Categorization systems are widely studied in psychology, sociology, and organization theory as information-structuring devices which are critical to decision-making processes. In the present paper, we introduce a sound and complete…

Logic in Computer Science · Computer Science 2017-07-28 Willem Conradie , Sabine Frittella , Alessandra Palmigiano , Michele Piazzai , Apostolos Tzimoulis , Nachoem M. Wijnberg

We use a novel type of epistemic logic, employing comparative knowledge assertions, to analyze the relative epistemic powers of individuals or groups of agents. Such comparative assertions can express that a group has the potential to…

Logic in Computer Science · Computer Science 2025-12-09 Baltag Alexandru , Smets Sonja

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…

Artificial Intelligence · Computer Science 2009-09-25 Joseph Y. Halpern