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In view of the fact that many of the most familiar examples of category bases are equivalent to some topology, it is natural to ask whether category bases are always topological in nature. The answer is in the negative. In this paper, we…

Category Theory · Mathematics 2021-11-02 Abhit Chandra Pramani , Sanjib Basu , Atashi Deb Ray

Many real-world questions appear deceptively simple yet implicitly demand two capabilities: (i) systematic coverage of a bounded knowledge universe and (ii) compositional set-based reasoning over that universe, a phenomenon we term "the tip…

Artificial Intelligence · Computer Science 2026-04-21 Xiao Zhang , Qianru Meng , Yongjian Chen , Yumeng Wang , Johan Bos

Knowledge-based program are programs with explicit tests for knowledge. They have been used successfully in a number of applications. Sanders has pointed out what seem to be a counterintuitive property of knowledge-based programs. Roughly…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Joseph Y. Halpern

Incorporating multiple knowledge sources is proven to be beneficial for answering complex factoid questions. To utilize multiple knowledge bases (KB), previous works merge all KBs into a single graph via entity alignment and reduce the…

Computation and Language · Computer Science 2023-09-12 Minhao Zhang , Yongliang Ma , Yanzeng Li , Ruoyu Zhang , Lei Zou , Ming Zhou

Reasoning abilities of human beings are limited. Logics that treat logical inference for human knowledge should reflect these limited abilities. Logic of awareness is one of those logics. In the logic, what an agent with a limited reasoning…

Multiagent Systems · Computer Science 2024-02-14 Yudai Kubono

Morris (1996, 1997) introduced preference-based definitions of knowledge and belief in standard state-space structures. This paper extends this preference-based approach to unawareness structures (Heifetz, Meier, and Schipper, 2006, 2008).…

Computer Science and Game Theory · Computer Science 2013-02-20 Burkhard C. Schipper

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…

Logic in Computer Science · Computer Science 2018-09-05 Bastien Maubert , Aniello Murano

Tarski's semantic definition of truth is the composition of its extensional and intensional aspects. Abstract satisfaction, the core of the semantic definition of truth, is the basis for the theory of institutions (Goguen and Burstall). The…

Logic in Computer Science · Computer Science 2018-11-07 Robert E. Kent

Organized knowledge production can then be considered as the codification of communication. Communications leave traces that can be studied as indicators. Institutions can be considered as retention mechanisms functional for the…

Computers and Society · Computer Science 2009-12-09 Loet Leydesdorff , Andrea Scharnhorst

Similarities between entities occur frequently in many real-world scenarios. For over a century, researchers in different fields have proposed a range of approaches to measure the similarity between entities. More recently, inspired by…

Artificial Intelligence · Computer Science 2023-03-21 Giovanni Amendola , Marco Manna , Aldo Ricioppo

We present a surprisingly simple yet accurate approach to reasoning in knowledge graphs (KGs) that requires \emph{no training}, and is reminiscent of case-based reasoning in classical artificial intelligence (AI). Consider the task of…

Computation and Language · Computer Science 2020-07-21 Rajarshi Das , Ameya Godbole , Shehzaad Dhuliawala , Manzil Zaheer , Andrew McCallum

Causal Bayesian networks have become a powerful technology for reasoning under uncertainty in areas that require transparency and explainability, by relying on causal assumptions that enable us to simulate hypothetical interventions. The…

Artificial Intelligence · Computer Science 2023-03-14 Anthony C. Constantinou , Zhigao Guo , Neville K. Kitson

We continue the investigation of tabular algebras with trace (a certain class of associative ${\Bbb Z}[v, v^{-1}]$-algebras equipped with distinguished bases) by determining the extent to which the tabular structure may be recovered from a…

Quantum Algebra · Mathematics 2007-05-23 R. M. Green

This paper addresses the problem of merging uncertain information in the framework of possibilistic logic. It presents several syntactic combination rules to merge possibilistic knowledge bases, provided by different sources, into a new…

Artificial Intelligence · Computer Science 2013-02-01 Salem Benferhat , Claudio Sossai

Question Answering (QA) over Knowledge Base (KB) aims to automatically answer natural language questions via well-structured relation information between entities stored in knowledge bases. In order to make KBQA more applicable in actual…

Computation and Language · Computer Science 2020-07-28 Bin Fu , Yunqi Qiu , Chengguang Tang , Yang Li , Haiyang Yu , Jian Sun

We propose a novel framework seamlessly providing key properties of both neural nets (learning) and symbolic logic (knowledge and reasoning). Every neuron has a meaning as a component of a formula in a weighted real-valued logic, yielding a…

Knowledge is the most precious asset of humankind. People extract the experience from the data that provide for us the reality through the feelings. Generally speaking, it is possible to see the analogy of knowledge elaboration between…

Hardware Architecture · Computer Science 2020-12-22 Viacheslav Dubeyko

Distributed knowledge is a key concept in the standard epistemic logic of knowledge-that. In this paper, we propose a corresponding notion of distributed knowledge-how and study its logic. Our framework generalizes two existing traditions…

Logic in Computer Science · Computer Science 2025-12-01 Bin Liu , Yanjing Wang

Learning relations based on evidence from knowledge bases relies on processing the available relation instances. Many relations, however, have clear domain and range, which we hypothesize could help learn a better, more generalizing, model.…

Artificial Intelligence · Computer Science 2018-03-05 Bhushan Kotnis , Vivi Nastase

Three-way decision is widely applied with rough set theory to learn classification or decision rules. The approaches dealing with complete information are well established in the literature, including the two complementary computational and…

Artificial Intelligence · Computer Science 2025-12-29 Junfang Luo , Mengjun Hu , Keyun Qin
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