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We present a completeness result for a logical system which combines stit logic and justification logic in order to represent proving activity of the agents. This logic is interpreted over the semantics introduced in earlier publications.…

逻辑 · 数学 2017-07-12 Grigory Olkhovikov

A logic-enriched type theory (LTT) is a type theory extended with a primitive mechanism for forming and proving propositions. We construct two LTTs, named LTTO and LTTO*, which we claim correspond closely to the classical predicative…

计算机科学中的逻辑 · 计算机科学 2010-08-19 Robin Adams , Zhaohui Luo

In this paper, we consider a stabilization problem of a generalized thermoelastic system (the so called $\alpha-\beta$ system) with delay in a part of the coupled system. For each case, we prove the well-posedness of the corresponding…

偏微分方程分析 · 数学 2024-07-29 Kaïs Ammari , Makrem Salhi , Farhat Shel

In measure theory, Steinhaus theorem is a result that deals with a property of the difference between two sets of positive measure. We give a simple elementary proof of the result.

经典分析与常微分方程 · 数学 2020-04-08 Arpan Sadhukhan

We start by presenting a theory of finite sets using the approach which is essentially that taken by Whitehead and Russell in Principia Mathematica}, and which does not involve the natural numbers (or any other infinite set). This theory is…

历史与综述 · 数学 2010-06-22 Chris Preston

Using techniques of projective geometry, we give elementary proofs of two theorems concerning Hagge configurations.

历史与综述 · 数学 2023-11-28 Zoltán Szilasi

McFadden and Richter (1991) and later McFadden (2005) show that the Axiom of Revealed Stochastic Preference characterizes rationalizability of choice probabilities through random utility models on finite universal choice spaces. This note…

理论经济学 · 经济学 2019-02-21 Jörg Stoye

After defining continuous extensions of binary relations on the set N of natural numbers to its Stone-Cech compactification \beta N, we establish some results about one of such extensions. This provides us with one possible divisibility…

一般拓扑 · 数学 2014-10-27 Boris Šobot

Let $T$ be a countable complete first-order theory with a definable, infinite, discrete linear order. We prove that $T$ has continuum-many countable models. The proof is purely first-order, but raises the question of Borel completeness of…

逻辑 · 数学 2026-02-24 Predrag Tanović

We introduce the calculus of Classical Transitions (CT), which extends the research line on the relationship between linear logic and processes to labelled transitions. The key twist from previous work is registering parallelism in typing…

计算机科学中的逻辑 · 计算机科学 2018-03-06 Fabrizio Montesi , Marco Peressotti

In [ABM07], Abdulla et al. introduced the concept of decisiveness, an interesting tool for lifting good properties of finite Markov chains to denumerable ones. Later, this concept was extended to more general stochastic transition systems…

计算机科学中的逻辑 · 计算机科学 2020-09-24 Patricia Bouyer , Thomas Brihaye , Mickael Randour , Cédric Rivière , Pierre Vandenhove

We introduce a first-order theory of finite full binary trees and then identify decidable and undecidable fragments of this theory. We show that the analogue of Hilbert`s 10th Problem is undecidable by constructing a many-to-one reduction…

逻辑 · 数学 2021-11-02 Juvenal Murwanashyaka

In this paper, we present two methods to provide explanations for reasoning with belief functions in the valuation-based systems. One approach, inspired by Strat's method, is based on sensitivity analysis, but its computation is simpler…

人工智能 · 计算机科学 2013-02-21 Hong Xu , Philippe Smets

Event Structures (ESs) are mainly concerned with the representation of causal relationships between events, usually accompanied by other event relations capturing conflicts and disabling. Among the most prominent variants of ESs are Prime…

计算机科学中的逻辑 · 计算机科学 2013-07-30 Youssef Arbach , Kirstin Peters , Uwe Nestmann

Noether's first theorem does not establish a one-way explanatory arrow from symmetries to conservation laws, but such an arrow is widely assumed in discussions of the theorem in the physics and philosophy literature. It is argued here that…

物理学史与哲学 · 物理学 2021-06-16 Harvey R. Brown

The connections among natural language processing and argumentation theory are becoming stronger in the latest years, with a growing amount of works going in this direction, in different scenarios and applying heterogeneous techniques. In…

人工智能 · 计算机科学 2014-05-06 Elena Cabrio , Serena Villata

We propose a novel approach to logic-based learning which generates assumption-based argumentation (ABA) frameworks from positive and negative examples, using a given background knowledge. These ABA frameworks can be mapped onto logic…

人工智能 · 计算机科学 2023-05-26 Maurizio Proietti , Francesca Toni

The axiomatic system introduced by H\'ajek axiomatizes first-order logic based on BL-chains. In this study, we extend this system with the axiom $(\forall x \phi)^2 \leftrightarrow \forall x \phi^2$ and the infinitary rule \[ \frac{\phi…

逻辑 · 数学 2024-08-12 Diego Castaño , José Patricio Díaz Varela , Gabriel Savoy

We show how to attach to any stratum of a reductive group a (small) finite group. We also show that in the simply laced case the set of strata is in bijection with a subset of the set of almost special representations of the Weyl group.…

表示论 · 数学 2024-09-25 G. Lusztig

In this article, we present a novel approach for parsing argumentation structures. We identify argument components using sequence labeling at the token level and apply a new joint model for detecting argumentation structures. The proposed…

计算与语言 · 计算机科学 2016-07-25 Christian Stab , Iryna Gurevych