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This is a brief introduction to the basic concepts of topology. It includes the basic constructions, discusses separation properties, metric and pseudometric spaces, and gives some applications arising from the use of topology in computing.

Logic · Mathematics 2015-03-04 E. -E. Doberkat

The purpose of a program analysis is to compute an abstract meaning for a program which approximates its dynamic behaviour. A compositional program analysis accomplishes this task with a divide-and-conquer strategy: the meaning of a program…

Programming Languages · Computer Science 2013-10-15 Azadeh Farzan , Zachary Kincaid

According to some algorithmicists, algorithmics traditionally uses algorithm theory, which stems from mathematics. The growing need for innovative algorithms has caused increasing gaps between theory and practice. Originally, this motivated…

Software Engineering · Computer Science 2020-12-04 Sabah Al-Fedaghi

The organism is a fundamental concept in biology. However there is no universally accepted, formal, and yet broadly applicable definition of what an organism is. Here we introduce a candidate definition. We adopt the view that the…

Other Quantitative Biology · Quantitative Biology 2016-12-02 Eric Libby , Joshua Grochow , Simon DeDeo , David Wolpert

Programming requires much more than just writing code in a programming language. It is usually done in the context of a stateful environment, by interacting with a system through a graphical user interface. Yet, this wide space of…

Programming Languages · Computer Science 2023-02-21 Joel Jakubovic , Jonathan Edwards , Tomas Petricek

A concept of "evolving categories" is suggested to build a simple, scalable, mathematically consistent framework for representing in uniform way both data and algorithms. A state machine for executing algorithms becomes clear, rich and…

Data Structures and Algorithms · Computer Science 2007-05-23 Evgeny Yanenko

This paper is a comprehensive survey of the various operating systems available for the Internet of Things environment. At first the paper introduces the various aspects of the operating systems designed for the IoT environment where…

Operating Systems · Computer Science 2015-04-14 Tuhin Borgohain , Uday Kumar , Sugata Sanyal

Physical processes are computations only when we use them to externalize thought. Computation is the performance of one or more fixed processes within a contingent environment. We reformulate the Church-Turing thesis so that it applies to…

Multiagent Systems · Computer Science 2007-05-23 Russ Abbott

CSPe is a specification language for runtime monitors that can directly express concurrency in a bottom-up manner that composes the system from simpler, interacting components. It includes constructs to explicitly flag failures to the…

Programming Languages · Computer Science 2017-05-16 Jun Inoue , Yoriyuki Yamagata

Quantum computations operate in the quantum world. For their results to be useful in any way, there is an intrinsic necessity of cooperation and communication controlled by the classical world. As a consequence, full formal descriptions of…

Quantum Physics · Physics 2007-05-23 Philippe Jorrand , Marie Lalire

Building software-driven systems that are easily understood becomes a challenge, with their ever-increasing complexity and autonomy. Accordingly, recent research efforts strive to aid in designing explainable systems. Nevertheless, a common…

Artificial Intelligence · Computer Science 2019-02-11 Dimitri Bohlender , Maximilian A. Köhl

It is currently not possible to quantify the resources needed to perform a computation. As a consequence, it is not possible to reliably evaluate the hardware resources needed for the application of algorithms or the running of programs.…

Computational Complexity · Computer Science 2009-11-30 R. J. J. H. van Son

Context is a rich concept and is an elusive concept to define. The concept of context has been studied by philosophers, linguists, psychologists, and recently by computer scientists. Within each research community the term context was…

Human-Computer Interaction · Computer Science 2009-12-10 Kaiyu Wan

A modeling formalism is proposed for the description and study of living and life-like systems. It provides an abstract conceptual model framework for real life and evolution of biological organisms. It is proposed, that this model…

Populations and Evolution · Quantitative Biology 2013-06-14 Margareta Segerståhl

Computational modeling is a critical tool for understanding consciousness, but is it enough on its own? This paper discusses the necessity for an ontological basis of consciousness, and introduces a formal framework for grounding…

Neurons and Cognition · Quantitative Biology 2024-09-25 Ryan Williams

What is reasoning? This question has driven centuries of philosophical inquiry, from Aristotle's syllogisms to modern computational complexity theory. In the age of large language models achieving superhuman performance on benchmarks like…

Machine Learning · Computer Science 2025-11-18 Zixi Li

To provide a foundation for conceptual modeling, ontologies have been introduced to specify the entities, the existences of which are acknowledged in the model. Ontologies are essential components as mechanisms to model a portion of reality…

Artificial Intelligence · Computer Science 2020-07-21 Sabah Al-Fedaghi

The Entity-Component-System (ECS) software design pattern, long used in game development, encourages a clean separation of identity (entities), data properties (components), and computational behaviors (systems). Programs written using the…

Programming Languages · Computer Science 2025-09-17 Patrick Redmond , Jonathan Castello , José Manuel Calderón Trilla , Lindsey Kuper

Computational functionalism about consciousness is often criticized for relying on observer-relative interpretations of physical systems. This paper proposes a mathematical refinement of functionalism that avoids this problem. The central…

Neurons and Cognition · Quantitative Biology 2026-05-22 Ryota Kanai , Shuqin Ma

Open source software (OSS) sustainability depends not only on code contributions but also on governance structures that define who decides, who acts, and how responsibility is distributed. We lack systematic empirical evidence of how…

Software Engineering · Computer Science 2026-03-27 Pedro Oliveira , Tayana Conte , Marco Gerosa , Igor Steinmacher