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Explaining autonomous and intelligent systems is critical in order to improve trust in their decisions. Counterfactuals have emerged as one of the most compelling forms of explanation. They address ``why not'' questions by revealing how…

人工智能 · 计算机科学 2026-02-05 Leila Amgoud , Martin Cooper

We study the satisfiability problem for the two-variable first-order logic over structures with one transitive relation. % We show that the problem is decidable in 2-NExpTime for the fragment consisting of formulas where existential…

计算机科学中的逻辑 · 计算机科学 2019-04-10 Wiesław Szwast , Lidia Tendera

A general action for particles faster than light is presented. It is demonstrated that this action is invariant under reparametrizations. For several cases, it is shown that in the high velocity regime the action is invariant under…

综合物理 · 物理学 2012-04-06 Juan M. Romero , Jose A. Santiago , O. Gonzalez-Gaxiola

Multiple hypothesis testing problems arise naturally in science. In this paper, we introduce the new Fast Closed Testing (FACT) method for multiple testing, controlling the family-wise error rate. This error rate is state of the art in many…

统计方法学 · 统计学 2020-01-22 Edgar Dobriban

In a previous work we have shown that the null result of the Michelson-Morley experiment in vacuum is deeply connected with the notion of time. The same is true for the the postulate of constancy of the two-way speed of light in vacuum in…

物理教育 · 物理学 2007-05-23 Rodrigo de Abreu , Vasco Guerra

In the standard physical interpretation of quantum theory, prediction and retrodiction are not symmetric. The opposite assertion by some authors results from their use of non-standard interpretations of the theory.

量子物理 · 物理学 2009-10-28 Asher Peres

Vaidman's analysis of the photon's past is based on incorrect interpretation of quantum probability amplitudes. The confusion stems from his original work [{\it Phys. Rev. Lett.} \textbf{60}, 1351 (1988)], which missed the connection…

量子物理 · 物理学 2017-04-10 D. Sokolovski

The paper defends the thesis that it's possible to maintain some conceptual preconditions of overcoming of relativistic intentions in modern philosophy of science ("there are no any general foundations in philosophy of science"). We found…

物理学史与哲学 · 物理学 2015-02-09 Sergey Kulikov

Recent work shows issues of consistency with explanations, with methods generating local explanations that seem reasonable instance-wise, but that are inconsistent across instances. This suggests not only that instance-wise explanations can…

人工智能 · 计算机科学 2022-08-02 Guilherme Paulino-Passos , Francesca Toni

A symmetry-guided definition of time may enhance and simplify the analysis of historical series with recurrent patterns and seasonalities. By enforcing simple-scaling and stationarity of the distributions of returns, we identify a…

统计金融 · 定量金融 2017-08-14 Michele Caraglio , Fulvio Baldovin , Attilio L. Stella

We developed on example-based method of metonymy interpretation. One advantages of this method is that a hand-built database of metonymy is not necessary because it instead uses examples in the form ``Noun X no Noun Y (Noun Y of Noun X).''…

计算与语言 · 计算机科学 2007-05-23 Masaki Murata , Qing Ma , Atsumu Yamamoto , Hitoshi Isahara

While belief functions may be seen formally as a generalization of probabilistic distributions, the question of the interactions between belief functions and probability is still an issue in practice. This question is difficult, since the…

计算机科学中的逻辑 · 计算机科学 2011-10-03 Frederic Dambreville

We examine the relationship between Dependence Logic and game logics. A variant of Dynamic Game Logic, called Transition Logic, is developed, and we show that its relationship with Dependence Logic is comparable to the one between…

逻辑 · 数学 2013-05-22 Pietro Galliani

Expressions are not functions. Confusing the two concepts or failing to define the function that is computed by an expression weakens the rigour of interval arithmetic. We give such a definition and continue with the required re-statements…

数值分析 · 数学 2025-10-20 M. H. van Emden , B. Moa

Qualitative and quantitative approaches to reasoning about uncertainty can lead to different logical systems for formalizing such reasoning, even when the language for expressing uncertainty is the same. In the case of reasoning about…

人工智能 · 计算机科学 2021-04-07 Matthew Harrison-Trainor , Wesley H. Holliday , Thomas F. Icard

When a light bulb is turned on, light moves away from it at speed $c$, by definition. When light from this bulb illuminates a surface, however, this illumination front is not constrained to move at speed $c$. A simple proof is given that…

科普物理 · 物理学 2016-06-22 Robert J. Nemiroff , Qi Zhong , Elias Lilleskov

We present an impossibility result, called a theorem about facts and words, which pertains to a general communication system. The theorem states that the number of distinct words used in a finite text is roughly greater than the number of…

信息论 · 计算机科学 2022-11-03 Łukasz Dębowski

The review presents the basics of quantum decision theory, with the emphasis on temporary processes in decision making. The aim is to explain the principal points of the theory. The difference of an operationally testable rational choice…

人工智能 · 计算机科学 2020-07-15 V. I. Yukalov

The idea of the Michelson-Morley experiment is theoretically reanalyzed. Elementary arguments are put forward to precisely derive the most general allowable form of the directional dependence of the one-way velocity of light.

经典物理 · 物理学 2010-11-25 Bogusław Broda , Marcin Ostrowski

Noncommutativity lays hidden in the proofs of classical dynamics. Modern frameworks can be used to bring it to light: *-products, groupoids, q-deformed calculus, etc.

历史与综述 · 数学 2007-05-23 Alejandro Rivero