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The paper proposes a bimodal logic that describes an interplay between distributed knowledge modality and coalition know-how modality. Unlike other similar systems, the one proposed here assumes perfect recall by all agents. Perfect recall…

Artificial Intelligence · Computer Science 2017-11-16 Pavel Naumov , Jia Tao

Previous research into the relation between ASP and classical logic has identified at least two different ways in which the former extends the latter. First, ASP program typically contain sets of rules that can be naturally interpreted as…

Logic in Computer Science · Computer Science 2013-01-09 Joost Vennekens , Marc Denecker

Fusions are a simple way of combining logics. For normal modal logics, fusions have been investigated in detail. In particular, it is known that, under certain conditions, decidability transfers from the component logics to their fusion.…

Artificial Intelligence · Computer Science 2011-06-10 F. Baader , C. Lutz , H. Sturm , F. Wolter

This paper introduces the notion of `commonly knowing whether', a non-standard version of standard common knowledge which is defined on the basis of `knowing whether', instead of standard `knowing that'. After giving five possible…

Logic in Computer Science · Computer Science 2021-02-02 Jie Fan , Davide Grossi , Barteld Kooi , Xingchi Su , Rineke Verbrugge

With the rise of knowledge management and knowledge economy, the knowledge elements that directly link and embody the knowledge system have become the research focus and hotspot in certain areas. The existing knowledge element…

Logic in Computer Science · Computer Science 2019-04-17 Bin Wen , Jianhou Gan , Juan L. G. Guirao , Wei Gao

In the probabilistic approach to uncertainty management the input knowledge is usually represented by means of some probability distributions. In this paper we assume that the input knowledge is given by two discrete conditional probability…

Artificial Intelligence · Computer Science 2013-03-25 Angelo Gilio , Fulvio Spezzaferri

In domains with high knowledge distribution a natural objective is to create principle foundations for collaborative interactive learning environments. We present a first mathematical characterization of a collaborative learning group, a…

Artificial Intelligence · Computer Science 2020-08-26 Tom Hanika , Jens Zumbrägel

In this paper we provide a unifying description of different types of semantics of modal logic found in the literature via the framework of topological categories. In the style of categorical logic, we establish an exact correspondence…

Category Theory · Mathematics 2023-08-01 Lingyuan Ye

Weighted monadic second-order logic is a weighted extension of monadic second-order logic that captures exactly the behaviour of weighted automata. Its semantics is parameterized with respect to a semiring on which the values that weighted…

Logic in Computer Science · Computer Science 2021-04-30 Antonis Achilleos , Mathias Ruggaard Pedersen

As the quantity of human knowledge increasing rapidly, it is harder and harder to evaluate a knowledge worker's knowledge quantitatively. There are lots of demands for evaluating a knowledge worker's knowledge. For example, accurately…

Human-Computer Interaction · Computer Science 2018-02-20 Gangli Liu

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

Epistemic graphs are a generalization of the epistemic approach to probabilistic argumentation. Hunter proposed a 2-way generalization framework to learn epistemic constraints from crowd-sourcing data. However, the learnt epistemic…

Artificial Intelligence · Computer Science 2023-06-08 Xiao Chi

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

Despite its great success, machine learning can have its limits when dealing with insufficient training data. A potential solution is the additional integration of prior knowledge into the training process which leads to the notion of…

The logics of knowledge are modal logics that have been shown to be effective in representing and reasoning about knowledge in multi-agent domains. Relatively few computational frameworks for dealing with computation of models and useful…

Artificial Intelligence · Computer Science 2010-07-22 Chitta Baral , Gregory Gelfond , Enrico Pontelli , Tran Cao Son

Probabilistic conceptual network is a knowledge representation scheme designed for reasoning about concepts and categorical abstractions in utility-based categorization. The scheme combines the formalisms of abstraction and inheritance…

Artificial Intelligence · Computer Science 2013-03-08 Kim-Leng Poh , Michael R. Fehling

We present an approach to combining distributional semantic representations induced from text corpora with manually constructed lexical-semantic networks. While both kinds of semantic resources are available with high lexical coverage, our…

Computation and Language · Computer Science 2017-12-27 Chris Biemann , Stefano Faralli , Alexander Panchenko , Simone Paolo Ponzetto

Justification logics are modal-like logics with the additional capability of recording the reason, or justification, for modalities in syntactic structures, called justification terms. Justification logics can be seen as explicit…

Logic in Computer Science · Computer Science 2015-10-27 Samuel Bucheli

Knowledge-based programs specify multi-agent protocols with epistemic guards that abstract from how agents learn and record facts or information about other agents and the environment. Their interpretation involves a non-monotone mutual…

Programming Languages · Computer Science 2023-01-27 Alexander Knapp , Heribert Mühlberger , Bernhard Reus

Human knowledge provides a formal understanding of the world. Knowledge graphs that represent structural relations between entities have become an increasingly popular research direction towards cognition and human-level intelligence. In…

Computation and Language · Computer Science 2021-04-02 Shaoxiong Ji , Shirui Pan , Erik Cambria , Pekka Marttinen , Philip S. Yu