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In previous work we developed a framework of computational models for the concurrent execution of functions on different levels of abstraction. It shows that the traditional sequential execution of function is just a possible implementation…

Software Engineering · Computer Science 2012-08-20 Bob Diertens

In continual learning, understanding the properties of task sequences and their relationships to model performance is important for developing advanced algorithms with better accuracy. However, efforts in this direction remain…

Machine Learning · Computer Science 2025-02-11 Thinh Nguyen , Cuong N. Nguyen , Quang Pham , Binh T. Nguyen , Savitha Ramasamy , Xiaoli Li , Cuong V. Nguyen

A parameterized algebraic theory of instruction sequences, objects that represent the behaviours produced by instruction sequences under execution, and objects that represent the behaviours exhibited by the components of the execution…

Programming Languages · Computer Science 2018-11-30 J. A. Bergstra , C. A. Middelburg

The variant of calculation of functions of set and their application is offered. In particular: the new measure of system of sets generalizing classical concept of a measure is entered; the variation of set that has allowed to construct a…

Functional Analysis · Mathematics 2007-07-16 A. A. Bosov

Effect handlers allow programmers to model and compose computational effects modularly. Effect systems statically guarantee that all effects are handled. Several recent practical effect systems are based on either row polymorphism or…

Programming Languages · Computer Science 2025-12-16 Wenhao Tang , Sam Lindley

The dominant approach to sequence generation is to produce a sequence in some predefined order, e.g. left to right. In contrast, we propose a more general model that can generate the output sequence by inserting tokens in any arbitrary…

Computation and Language · Computer Science 2019-11-04 Dmitrii Emelianenko , Elena Voita , Pavel Serdyukov

This paper introduces a class of objects called decision rules that map infinite sequences of alternatives to a decision space. These objects can be used to model situations where a decision maker encounters alternatives in a sequence such…

Theoretical Economics · Economics 2022-09-12 Bhavook Bhardwaj , Siddharth Chatterjee

Obfuscation of computer programs has historically been approached either as a practical but \textit{ad hoc} craft to make reverse engineering subjectively difficult, or as a sound theoretical investigation unfortunately detached from the…

Cryptography and Security · Computer Science 2024-11-11 Ali Ajorian , Erick Lavoie , Christian Tschudin

Intensionality is a phenomenon that occurs in logic and computation. In the most general sense, a function is intensional if it operates at a level finer than (extensional) equality. This is a familiar setting for computer scientists, who…

Logic in Computer Science · Computer Science 2017-12-27 G. A. Kavvos

Automatic differentiation is a key component in deep learning. This topic is well studied and excellent surveys such as Baydin et al. (2018) have been available to clearly describe the basic concepts. Further, sophisticated implementations…

Machine Learning · Computer Science 2024-12-18 Yu-Hsueh Fang , He-Zhe Lin , Jie-Jyun Liu , Chih-Jen Lin

Side effects are a core part of practical programming. However, they are often hard to reason about, particularly in a concurrent setting. We propose a foundation for reasoning about concurrent side effects using sessions. Primarily, we…

Programming Languages · Computer Science 2016-02-12 Dominic Orchard , Nobuko Yoshida

The number of instructions of an instruction sequence is taken for its logical SLOC, and is abbreviated with LLOC. A notion of quantitative expressiveness is based on LLOC and in the special case of operation over a family of single bit…

Programming Languages · Computer Science 2019-04-19 Jan A. Bergstra

The predictability of a sequence is defined as the asymptotic performance of the best performing predictor in a given class. The value of the predictability of a sequence will in general depend on the choice of this predictor class. The…

Statistics Theory · Mathematics 2009-04-15 Finn Macleod , Alexei Pokrovskii , Dima Rachinskii

The set of effect operators in a complex Hilbert space can be injectively embedded into the set of functions from the set of one-dimensional projections to the real interval [0,1]. Properties of this injection are investigated.

Mathematical Physics · Physics 2013-03-27 P. Busch , S. P. Gudder

Infinite sequences are of tremendous theoretical and practical importance, and in the Information Age sequences of 0s and 1s are of particular interest. Over the past century, the field of symbolic dynamics has developed to study sequences…

Dynamical Systems · Mathematics 2025-04-02 Natalie Priebe Frank , May Mei , Kitty Yang

Threads as considered in thread algebra model behaviours to be controlled by some execution environment: upon each action performed by a thread, a reply from its execution environment -- which takes the action as an instruction to be…

Programming Languages · Computer Science 2009-09-02 J. A. Bergstra , C. A. Middelburg

The term {\em meta-programming} refers to the ability of writing programs that have other programs as data and exploit their semantics. The aim of this paper is presenting a methodology allowing us to perform a correct termination analysis…

Programming Languages · Computer Science 2007-05-23 Alexander Serebrenik , Danny De Schreye

This paper is a contribution to the theoretical foundations of strategies. We first present a general definition of abstract strategies which is extensional in the sense that a strategy is defined explicitly as a set of derivations of an…

Computer Science and Game Theory · Computer Science 2010-01-26 Tony Bourdier , Horatiu Cirstea , Daniel Dougherty , Hélène Kirchner

Sequences are often conveniently encoded in the form of a generating function depending on a formal variable. This note presents two observations that allow one to draw conclusions about the generated sequence from the generating function.…

Classical Analysis and ODEs · Mathematics 2025-11-17 Alex Kasman , Robert Milson

Modeling a sequence of design steps, or a sequence of parameter settings, yields a sequence of dynamical systems. In many cases, such a sequence is intended to approximate a certain limit case. However, formally defining that limit turns…

Logic in Computer Science · Computer Science 2013-07-30 P. J. L. Cuijpers