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Formalist positions towards money are considered from a perspective of formal methods in computing. The Formaleuro (FEUR) as a dimension for monetary quantities is proposed as well as the Formalbitcoin (FBTC) which represents an item ready…

Computers and Society · Computer Science 2013-04-29 Jan A. Bergstra

With the proliferation of new blockchain-based cryptocurrencies/assets and platforms that make it possible to transact across them, it becomes important to consider not just whether the transfer of coins/assets can be tracked within their…

Cryptography and Security · Computer Science 2025-10-14 Ayush Kumar , Vrizlynn L. L. Thing

Two taxonomies of money that include cryptocurrencies are analyzed. A definition of the term cryptocurrency is given and a taxonomy of them is presented, based on how its price is fixed. The characteristics of the use of current fiat money…

General Finance · Quantitative Finance 2020-02-21 Jorge Barrera

This short paper examines diagrams describing neural network systems in academic conference proceedings. Many aspects of scholarly communication are controlled, particularly with relation to text and formatting, but often diagrams are not…

Human-Computer Interaction · Computer Science 2021-05-03 Guy Clarke Marshall , Caroline Jay , Andre Freitas

We document stable cross-asset patterns in cryptocurrency limit-order-book microstructure: the same engineered order book and trade features exhibit remarkably similar predictive importance and SHAP dependence shapes across assets spanning…

Trading and Market Microstructure · Quantitative Finance 2026-02-03 Bartosz Bieganowski , Robert Ślepaczuk

In this article, we show that the now classical protocol complex approach to distributed task solvability of Herlihy et al. can be understood in standard categorical terms. First, protocol complexes are functors, from chromatic (semi-)…

Logic in Computer Science · Computer Science 2025-05-16 Eric Goubault , Bernardo Hummes Flores , Roman Kniazev , Jeremy Ledent , Sergio Rajsbaum

A theorem prover without an extensive library is much less useful to its potential users. Algebra, the study of algebraic structures, is a core component of such libraries. Algebraic theories also are themselves structured, the study of…

Logic in Computer Science · Computer Science 2020-06-17 Jacques Carette , William M. Farmer , Yasmine Sharoda

Smart contracts show a high potential for ensuring that Supply Chain Management strategies make a qualitative leap toward higher levels of optimality, not only in terms of efficiency and profitability but also in the aggregation of skills…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-16 Paolo Bottoni , Claudio Di Ciccio , Remo Pareschi , Nicola Gessa , Gilda Massa

We define a monoidal semantics for algebraic theories. The basis for the definition is provided by the analysis of the structural rules in the term calculus of algebraic languages. Models are described both explicitly, in a form that…

Logic · Mathematics 2017-05-26 Luca Mauri

We formalize an existing computability-theoretic method of presenting first-order structures whose domains have the cardinality of the continuum. Work using these methods until now has emphasized their topological properties. We shift the…

Logic · Mathematics 2025-11-07 Jason Block , Russell Miller

Our contributions with this paper are twofold. First, we elucidate the methodological requirements for a risk framework of custodial operations and argue for the value of this type of risk model as complementary with cryptographic and…

Computers and Society · Computer Science 2021-04-29 Jacob Swambo , Antoine Poinsot

Collaborative blockchain ecosystems allow diverse groups to cooperate on tasks while providing properties such as decentralization and transaction security. We provide a model that uses a repository blockchain to manage hard forks within a…

Emerging Technologies · Computer Science 2026-04-29 Razwan Ahmed Tanvir , Greg Speegle

Control code is a concept that is closely related to a frequently occurring practitioner's view on what is a program: code that is capable of controlling the behaviour of some machine. We present a logical approach to explain issues…

Software Engineering · Computer Science 2009-09-02 J. A. Bergstra , C. A. Middelburg

We introduce nominal string diagrams as, string diagrams internal in the category of nominal sets. This requires us to take nominal sets as a monoidal category, not with the cartesian product, but with the separated product. To this end, we…

Logic in Computer Science · Computer Science 2019-04-17 Samuel Balco , Alexander Kurz

Containers are used to carve out a class of strictly positive data types in terms of shapes and positions. They can be interpreted via a fully-faithful functor into endofunctors on Set. Monadic containers are those containers whose…

Logic in Computer Science · Computer Science 2025-06-16 Chris Purdy , Stefania Damato

Inheritance is the fundamental building block of civilization. This is the addition of wealth, knowledge and properties over time that produce the society in which we are living. Every generation does not have to start from zero and can…

Cryptography and Security · Computer Science 2022-12-05 Frédéric Prost

In this paper we discuss a design philosophy for interoperable blockchain systems, using the design philosophy of the Internet architecture as the basis to identify key design principles. Several interoperability challenges are discussed in…

Cryptography and Security · Computer Science 2018-05-16 Thomas Hardjono , Alexander Lipton , Alex Pentland

Composing systems is a fundamental concept in modern control systems, yet it remains challenging to formally analyze how controllers designed for individual subsystems can differ from controllers designed for the composition of those…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Baike She , Tyler Hanks , James Fairbanks , Matthew Hale

Rather than directly predicting future prices or returns, we follow a more recent trend in asset management and classify the state of a market based on labels. We use numerous standard labels and even construct our own ones. The labels rely…

Trading and Market Microstructure · Quantitative Finance 2020-12-08 Michal Balcerak , Thomas Schmelzer

Traversals of data structures are ubiquitous in programming. Consequently, it is important to be able to characterise those structures that are traversable and understand their algebraic properties. Traversable functors have been…

Programming Languages · Computer Science 2012-02-15 Mauro Jaskelioff , Ondrej Rypacek
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