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This article presents an equivalent formulation of the implicit complementarity problem. We demonstrate that solution of the equivalent formulation is equivalent to the solution of the implicit complementarity problem. Moreover, we provide…

最优化与控制 · 数学 2023-12-08 Bharat Kumar , Deepmala , A. K. Das

This paper argues that an interlingual representation must explicitly represent some parts of the meaning of a situation as possibilities (or preferences), not as necessary or definite components of meaning (or constraints). Possibilities…

计算与语言 · 计算机科学 2007-05-23 Philip Edmonds

The questions in a crowdsourcing task typically exhibit varying degrees of difficulty and subjectivity. Their joint effects give rise to the variation in responses to the same question by different crowd-workers. This variation is low when…

人工智能 · 计算机科学 2018-02-15 Yuan Jin , Mark Carman , Ye Zhu , Wray Buntine

We argue that several apparently distinct responses to the hole argument, all invoking formal or mathematical considerations, should be viewed as a unified "mathematical response". We then consider and rebut two prominent critiques of the…

物理学史与哲学 · 物理学 2021-10-19 Clara Bradley , James Owen Weatherall

Fairness assumptions are a valuable tool when reasoning about systems. In this paper, we classify several fairness properties found in the literature and argue that most of them are too restrictive for many applications. As an alternative…

计算机科学中的逻辑 · 计算机科学 2019-11-15 Rob van Glabbeek , Peter Höfner

Large Language Models (LLMs) have demonstrated amazing capabilities in language generation, text comprehension, and knowledge reasoning. While a single powerful model can already handle multiple tasks, relying on a single perspective can…

计算与语言 · 计算机科学 2024-06-12 Zining Qin , Chenhao Wang , Huiling Qin , Weijia Jia

Distributed knowledge is one of the better known group knowledge modalities. While its intuitive idea is relatively clear, there is ample room for interpretation of details. We investigate 12 definitions of distributed knowledge that differ…

计算机科学中的逻辑 · 计算机科学 2025-05-13 Rustam Galimullin , Louwe B. Kuijer

We propose a constructive interpretation of truth which resolves the standard semantic paradoxes.

逻辑 · 数学 2010-04-14 Nik Weaver

When you have a question, the most effective way to have the question answered is to directly connect with experts on the topic and have a conversation with them. Prior to the invention of writing, this was the only way. Although effective,…

信息检索 · 计算机科学 2024-12-30 Jimmy Lin , Pankaj Gupta , Will Horn , Gilad Mishne

In a series of papers, a many-minds interpretation of quantum theory has been developed. The aim in these papers is to present an explicit mathematical formalism which constitutes a complete theory compatible with relativistic quantum field…

量子物理 · 物理学 2007-05-23 Matthew J. Donald

We contemplate the notion of ambiguity in mathematical discourse. We consider a general method of resolving ambiguity and semantic options for sustaining a resolution. The general discussion is applied to the case of `fraction' which is…

计算机科学中的逻辑 · 计算机科学 2026-04-07 Jan A Bergstra , John V Tucker

Metaphysical interpretations of set theory are either inconsistent or incoherent. The uses of sets in mathematics actually involve three distinct kinds of collections (surveyable, definite, and heuristic), which are governed by three…

历史与综述 · 数学 2009-05-12 Nik Weaver

This paper introduces a qualitative measure of ambiguity and analyses its relationship with other measures of uncertainty. Probability measures relative likelihoods, while ambiguity measures vagueness surrounding those judgments. Ambiguity…

人工智能 · 计算机科学 2013-03-08 Michael S. K. M. Wong , Z. W. Wang

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…

人工智能 · 计算机科学 2013-02-01 Salem Benferhat , Claudio Sossai

From this set of procedures for given clause we shall choose only interrogation of experts on pairs decisions. It is widely widespread method. It makes the whole chapter in the theory of the decision-making, well investigated with the…

最优化与控制 · 数学 2010-03-05 V. Zhukovin , N. Chkhikvadze , Z. Alimbarashvili

This paper presents a general framework about what is a decision problem. Our motivation is related to the fact that decision analysis and operational research are structured (as disciplines) around classes of methods, while instead we…

人工智能 · 计算机科学 2023-01-10 Alberto Colorni , Alexis Tsoukiàs

We study situations where a group of voters need to take a collective decision over a number of public issues, with the goal of getting a result that reflects the voters' opinions in a proportional manner. Our focus is on interconnected…

计算机科学与博弈论 · 计算机科学 2025-09-25 Julian Chingoma , Umberto Grandi , Arianna Novaro

We present several philosophical ideas emerging from the studies of complex systems. We make a brief introduction to the basic concepts of complex systems, for then defining "abstraction levels". These are useful for representing…

适应与自组织系统 · 物理学 2007-05-23 Carlos Gershenson

Natural language semantics has recently sought to combine the complementary strengths of formal and distributional approaches to meaning. More specifically, proposals have been put forward to augment formal semantic machinery with…

计算与语言 · 计算机科学 2021-03-03 Noortje J. Venhuizen , Petra Hendriks , Matthew W. Crocker , Harm Brouwer

As large language models are increasingly deployed in sensitive domains such as healthcare, ensuring their outputs reflect the diverse values and perspectives held across populations is critical. However, existing alignment approaches,…

计算与语言 · 计算机科学 2025-09-19 Jiayou Zhong , Anudeex Shetty , Chao Jia , Xuanrui Lin , Usman Naseem
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