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相关论文: A Foundation for Ledger Structures

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This paper establishes a rigorous connection between circuit representations and tensor factorizations, two seemingly distinct yet fundamentally related areas. By connecting these fields, we highlight a series of opportunities that can…

Lenses are a well-established structure for modelling bidirectional transformations, such as the interactions between a database and a view of it. Lenses may be symmetric or asymmetric, and may be composed, forming the morphisms of a…

机器学习 · 计算机科学 2019-05-03 Brendan Fong , Michael Johnson

Based on Gandy's principles for models of computation we give category-theoretic axioms describing locally deterministic updates to finite objects. Rather than fixing a particular category of states, we describe what properties such a…

离散数学 · 计算机科学 2019-04-24 Joseph Razavi , Andrea Schalk

Today there is considerable interest in deploying blockchains and decentralized ledger technology as a means to address the deficiencies of current financial and digital asset infrastructures. The focal point of attention in many projects…

密码学与安全 · 计算机科学 2021-10-26 Denis Avrilionis , Thomas Hardjono

We formalize the simulation paradigm of cryptography in terms of category theory and show that protocols secure against abstract attacks form a symmetric monoidal category, thus giving an abstract model of composable security definitions in…

密码学与安全 · 计算机科学 2022-08-30 Anne Broadbent , Martti Karvonen

Computational content encoded into constructive type theory proofs can be used to make computing experiments over concrete data structures. In this paper, we explore this possibility when working in Coq with chain complexes of infinite type…

计算机科学中的逻辑 · 计算机科学 2010-04-29 César Domínguez , Julio Rubio

We study the framework of $\infty$-equipments which is designed to produce well-behaved theories for different generalizations of $\infty$-categories in a synthetic and uniform fashion. We consider notions of (lax) functors between these…

范畴论 · 数学 2024-08-28 Jaco Ruit

String diagrams are an increasingly popular algebraic language for the analysis of graphical models of computations across different research fields. Whereas string diagrams have been thoroughly studied as semantic structures, much less…

范畴论 · 数学 2022-11-04 Paul Wilson , Fabio Zanasi

We introduce structured decompositions, category-theoretic structures which simultaneously generalize notions from graph theory (including treewidth, layered treewidth, co-treewidth, graph decomposition width, tree independence number,…

One version of the concept of structural controllability defined for single-input systems by Lin and subsequently generalized to multi-input systems by others, states that a parameterized matrix pair $(A, B)$ whose nonzero entries are…

系统与控制 · 计算机科学 2019-11-12 Fengjiao Liu , A. Stephen Morse

The first generation of blockchain focused on digital currencies and secure storage, management and transfer of tokenized values. Thereafter, the focus has been shifting from currencies to a broader application space. In this paper, we…

密码学与安全 · 计算机科学 2021-03-23 Andrea Merlina , Roman Vitenberg , Vinay Setty

We discuss the foundations of 2-dimensional graphical languages, with a view towards their computer implementation in a 'compiler' for monoidal categories. In particular, we discuss the close relationship between string diagrams, pasting…

范畴论 · 数学 2019-08-29 Jules Hedges , Jelle Herold

A structural time series model additively decomposes into generative, semantically-meaningful components, each of which depends on a vector of parameters. We demonstrate that considering each generative component together with its vector of…

统计方法学 · 统计学 2020-09-16 David Rushing Dewhurst

We relate the concepts used in decentralized ledger technology to studies of episodic memory in the mammalian brain. Specifically, we introduce the standard concepts of linked list, hash functions, and sharding, from computer science. We…

分布式、并行与集群计算 · 计算机科学 2019-04-17 Seong Hah Cho , Cody A Cushing , Kunal Patel , Alok Kothari , Rongjian Lan , Matthias Michel , Mouslim Cherkaoui , Hakwan Lau

In this paper, we use a categorical and functorial set up to model the syntax and inference of logics with algebraic signature, extending previous works on algebraisation of logics. The main feature of this work is that structurality, or…

范畴论 · 数学 2021-09-22 Lingyuan Ye

In these lecture notes, we give a brief introduction to some elements of category theory. The choice of topics is guided by applications to functional programming. Firstly, we study initial algebras, which provide a mathematical…

编程语言 · 计算机科学 2026-03-09 Benedikt Ahrens , Kobe Wullaert

Non-fungible tokens (NFTs) are digital assets stored on a blockchain representing real-world objects such as art or collectibles. An NFT collection comprises numerous tokens; each token can be transacted multiple times. It is a…

计算金融 · 定量金融 2023-02-07 Wesley Joon-Wie Tann , Akhil Vuputuri , Ee-Chien Chang

We describe a framework for encoding cluster combinatorics using categorical methods. We give a definition of an abstract cluster structure, which captures the essence of cluster mutation at a tropical level and show that cluster algebras,…

环与代数 · 数学 2025-10-06 Jan E. Grabowski , Sira Gratz

In construction, BIM (Building Information Modeling) promises to increase quality of data and to provide a shared, uniform view to all parties. While BIM tools and exchange formats exist, the distribution and safeguarding of data is an…

密码学与安全 · 计算机科学 2021-05-18 Michael Kuperberg , Matthias Geipel

The classical notions of structural controllability and structural observability are receiving increasing attention in Network Science, since they provide a mathematical basis to answer how the network structure of a dynamic system affects…

系统与控制 · 计算机科学 2018-12-13 Marco Tulio Angulo , Andrea Aparicio , Claude H. Moog