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We consider the property of unique parallel decomposition modulo branching and weak bisimilarity. First, we show that infinite behaviours may fail to have parallel decompositions at all. Then, we prove that totally normed behaviours always…

Logic in Computer Science · Computer Science 2015-07-29 Bas Luttik

This article presents three characterizations of the weak factorization systems on finitely complete categories that interpret intensional dependent type theory with Sigma-, Pi-, and Id-types. The first characterization is that the weak…

Category Theory · Mathematics 2019-06-04 Paige Randall North

We study the categorical-algebraic condition that internal actions are weakly representable (WRA) in the context of varieties of (non-associative) algebras over a field. Our first aim is to give a complete characterization of action…

Category Theory · Mathematics 2025-02-24 Jose Brox , Xabier García-Martínez , Manuel Mancini , Tim Van der Linden , Corentin Vienne

We prove nonuniqueness of weak solutions to multi-dimensional generalisation of the Aw-Rascle model of vehicular traffic. Our generalisation includes the velocity offset in a form of gradient of density function, which results in a…

Analysis of PDEs · Mathematics 2022-08-05 Nilasis Chaudhuri , Eduard Feireisl , Ewelina Zatorska

Recent empirical evidence has driven conventional wisdom to believe that gradient-based meta-learning (GBML) methods perform well at few-shot learning because they learn an expressive data representation that is shared across tasks.…

Machine Learning · Computer Science 2023-06-06 Liam Collins , Aryan Mokhtari , Sewoong Oh , Sanjay Shakkottai

Let $W_n^+$ be the Lie algebra of the Lie algebra of vector fields on $\C^n$. In this paper, we classify all simple bounded weight $W_n^+$ modules. Any such module is isomorphic to the simple quotient of a tensor module $F(P,M)=P\otimes M$…

Representation Theory · Mathematics 2020-01-14 Yaohui Xue , Rencai Lü

We define a family of intuitionistic non-normal modal logics; they can bee seen as intuitionistic counterparts of classical ones. We first consider monomodal logics, which contain only one between Necessity and Possibility. We then consider…

Logic in Computer Science · Computer Science 2019-01-30 Tiziano Dalmonte , Charles Grellois , Nicola Olivetti

We investigate game-theoretic properties of selection principles related to weaker forms of the Menger and Rothberger properties. For appropriate spaces some of these selection principles are characterized in terms of a corresponding game.…

General Topology · Mathematics 2012-02-14 Liljana Babinkostova , Bruno A. Pansera , Marion Scheepers

To achieve general intelligence, agents must learn how to interact with others in a shared environment: this is the challenge of multiagent reinforcement learning (MARL). The simplest form is independent reinforcement learning (InRL), where…

Artificial Intelligence · Computer Science 2017-11-08 Marc Lanctot , Vinicius Zambaldi , Audrunas Gruslys , Angeliki Lazaridou , Karl Tuyls , Julien Perolat , David Silver , Thore Graepel

Multi-agent reinforcement learning (MARL) lies at the heart of a plethora of applications involving the interaction of a group of agents in a shared unknown environment. A prominent framework for studying MARL is Markov games, with the goal…

Machine Learning · Computer Science 2025-02-17 Tong Yang , Bo Dai , Lin Xiao , Yuejie Chi

In \cite{Craig}, we introduced a syntactically defined and highly general class of calculi known as \emph{semi-analytic}. We then demonstrated that any sufficiently strong (modal) substructural logic with a semi-analytic calculus must…

Logic in Computer Science · Computer Science 2025-06-27 Amirhossein Akbar Tabatabai , Raheleh Jalali

The fuzzy modality `probably` is interpreted over probabilistic type spaces by taking expected truth values. The arising probabilistic fuzzy description logic is invariant under probabilistic bisimilarity; more informatively, it is…

Logic in Computer Science · Computer Science 2019-06-05 Paul Wild , Lutz Schröder , Dirk Pattinson , Barbara König

Convolutional Dictionary Learning (CDL) has emerged as a powerful approach for signal representation by learning translation-invariant features through convolution operations. While existing CDL methods are predominantly designed and used…

Signal Processing · Electrical Eng. & Systems 2025-05-22 Hao Chen , Dayuan Tan

We introduce an equivariant version of the weak expectation property (WEP) at the level of operator modules over completely contractive Banach algebras $A$. We prove a number of general results---for example, a characterization of the…

Operator Algebras · Mathematics 2020-09-15 Alex Bearden , Jason Crann

For many physical quantities, theory supplies weak- and strong-coupling expansions of the types $\sum a_n \alpha ^n$ and $ \alpha ^p\sum b_n (\alpha^{-2/q) ^n$, respectively. Either or both of these may have a zero radius of convergence. We…

Quantum Physics · Physics 2009-10-28 H. Kleinert

We study weak commutative algebras in a symmetric monoidal model category $\mathscr{M}$. We provide a model structure on these algebras for any symmetric monoidal model category that is combinatorial and left proper. Our motivation was to…

Algebraic Topology · Mathematics 2014-06-05 Hugo V. Bacard

The goal of this note is to classify the weakly closed unipotent subgroups in the split Chevalley groups. In an application we show under some mild assumptions on the characteristic that the Lie algebra of a connected simple algebraic group…

Group Theory · Mathematics 2007-05-23 R. Guralnick , G Roehrle

Weakly distance-regular digraphs are a natural directed version of distance-regular graphs. In [16], we classified all commutative weakly distance-regular digraphs whose underlying graphs are Hamming graphs, folded n-cubes, or Doob graphs.…

Combinatorics · Mathematics 2024-08-07 Qing Zeng , Yuefeng Yang , Kaishun Wang

The Weak Completion Semantics (WCS) is a computational cognitive theory that has shown to be successful in modeling episodes of human reasoning. As the WCS is a recently developed logic programming approach, this paper investigates the…

Artificial Intelligence · Computer Science 2019-10-17 Emmanuelle-Anna Dietz Saldanha , Jorge Fandinno

This chapter presents a state-of-the-art survey of relationships, traditionally referred to as `bridges', between interpolation properties for propositional logics -- including superintuitionistic, modal, and substructural logics -- and…

Logic · Mathematics 2025-12-02 George Metcalfe
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