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Although there is a somewhat standard formalization of computability on countable sets given by Turing machines, the same cannot be said about uncountable sets. Among the approaches to define computability in these sets, order-theoretic…

Logic in Computer Science · Computer Science 2022-09-07 Pedro Hack , Daniel A. Braun , Sebastian Gottwald

Information algebra is algebraic structure for local computation and inference. Given an initial universe set and a parameter set, we show that a soft set system over them is an information algebra. Moreover, in a soft set system, the…

Information Theory · Computer Science 2012-01-17 Xuechong Guan , Yongming Li

There are different ways to define similarity for grouping similar texts into clusters, as the concept of similarity may depend on the purpose of the task. For instance, in topic extraction similar texts mean those within the same semantic…

Computation and Language · Computer Science 2013-03-05 Diego R. Amancio , Osvaldo N. Oliveira , Luciano da F. Costa

An interval translation map (ITM) is a piece-wise translation $T \colon I \to I$ defined on a finite partition $I_1, \ldots, I_r$ of an interval $I$ into $r \ge 2$ subintervals. In contrast to classical interval exchange transformations…

Dynamical Systems · Mathematics 2026-05-06 Kostiantyn Drach , Leon Staresinic , Sebastian van Strien

Engineered infrastructure systems pose inverse problems in which hidden states, unknown parameters, and subsystem couplings must be inferred from sparse and noisy measurements. These problems are difficult because physical subsystems are…

Systems and Control · Electrical Eng. & Systems 2026-05-28 Esmaeil Ghorbani , Jürgen Hackl

A description is an entity that can be interpreted as true or false of an object, and using feature structures as descriptions accrues several computational benefits. In this paper, I create an explicit interpretation of a typed feature…

cmp-lg · Computer Science 2008-02-03 Paul John King

Trust is an absolute necessity for digital communications; but is often viewed as an implicit singular entity. The use of the internet as the primary vehicle for information exchange has made accountability and verifiability of system code…

Cryptography and Security · Computer Science 2014-03-04 Orhio Mark Creado , Bala Srinivasan , Phu Dung Le , Jefferson Tan

We are sometimes forced to use the Interrupted Time Series (ITS) design as an identification strategy for potential policy change, such as when we only have a single treated unit and no comparable controls. For example, with recent county-…

Methodology · Statistics 2020-02-17 Luke Miratrix

In this paper, a unified framework for representing uncertain information based on the notion of an interval structure is proposed. It is shown that the lower and upper approximations of the rough-set model, the lower and upper bounds of…

Artificial Intelligence · Computer Science 2013-03-25 Michael S. K. M. Wong , L. S. Wang , Y. Y. Yao

In this paper, the challenges of maintaining a healthy IT operational environment have been addressed by proactively analyzing IT Service Desk tickets, customer satisfaction surveys, and social media data. A Cognitive solution goes beyond…

Computation and Language · Computer Science 2022-01-11 Abbas Raza Ali

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

The making of knowledge engines in natural language processing has been shaped by two seemingly distinct paradigms: one grounded in structure, the other driven by massively available unstructured data. The structured paradigm leverages…

Computation and Language · Computer Science 2025-09-03 Yihong Chen

A physical field has an infinite number of degrees of freedom since it has a field value at each location of a continuous space. Therefore, it is impossible to know a field from finite measurements alone and prior information on the field…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-12 Torsten A. Enßlin

Context and motivation: Requirements engineering of complex IT systems needs to manage the many, and often vague and conflicting, organisational rules that exist in the context of a modern enterprise. At the same time, IT systems affect the…

Software Engineering · Computer Science 2024-02-22 Jöran Lindeberg , Eric-Oluf Svee , Martin Henkel

This document provides a theoretical-methodological ground to sustain the idea that the IoT builds the structure of awareness of large-scale infrastructures viewed as techno-social cyber-physical systems, which are special cases of…

Systems and Control · Computer Science 2017-08-23 Pedro H. J. Nardelli , Florian Kühnlenz

Source code comes in different shapes and forms. Previous research has already shown code to be more predictable than natural language as well as highlighted its statistical predictability at the token level: source code can be natural.…

Software Engineering · Computer Science 2025-04-14 Profir-Petru Pârţachi , Mahito Sugiyama

This paper proposes a conceptual framework in which intelligence and consciousness emerge from relational structure rather than from prediction or domain-specific mechanisms. Intelligence is defined as the capacity to form and integrate…

Artificial Intelligence · Computer Science 2026-01-09 Sean Niklas Semmler

A theory T is tight if different deductively closed extensions of T (in the same language) cannot be bi-interpretable. Many well-studied foundational theories are tight, including PA [Visser2006], ZF, Z2, and KM [enayat2017]. In this…

Logic · Mathematics 2023-05-16 Alfredo Roque Freire , Kameryn J. Williams

Written language is a complex communication signal capable of conveying information encoded in the form of ordered sequences of words. Beyond the local order ruled by grammar, semantic and thematic structures affect long-range patterns in…

Physics and Society · Physics 2010-05-17 Marcelo A. Montemurro , Damian Zanette

ably successful in building a large market and adapting to the changes of the last three decades, its impact on the broader market of information management is surprisingly limited. If we were to design an information management system from…