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Orthogonal sets of idempotents are used to design sets of unitary matrices, known as constellations, such that the modulus of the determinant of the difference of any two distinct elements is greater than $0$. It is shown that unitary…

Information Theory · Computer Science 2017-02-07 Ted Hurley

Computer systems have evolved over the years starting from sizable, single-user, slow, and expensive machines to multi-user, fast, cheaper, and small-sized machines. The use of multi-user computer networks has given rise to a new paradigm…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-09 Aneesh Khole , Atharva Thakar , Avadhoot Kulkarni , Hrithik Jadhav , Shreyas Shende , Varad Karajkhede

In this paper we consider Idempotent Functional Analysis, an `abstract' version of Idempotent Analysis developed by V. P. Maslov and his collaborators. We give a review of the basic ideas of Idempotent Analysis. The correspondence between…

Functional Analysis · Mathematics 2007-05-23 Grigory Litvinov , Viktor Maslov , Grigory Shpiz

We introduce the notion of universal memcomputing machines (UMMs): a class of brain-inspired general-purpose computing machines based on systems with memory, whereby processing and storing of information occur on the same physical location.…

Neural and Evolutionary Computing · Computer Science 2015-12-17 Fabio L. Traversa , Massimiliano Di Ventra

The logic programming paradigm provides the basis for a new intensional view of higher-order notions. This view is realized primarily by employing the terms of a typed lambda calculus as representational devices and by using a richer form…

Programming Languages · Computer Science 2007-05-23 Gopalan Nadathur

Quantum computers are considered as a part of the family of the reversible, lineary-extended, dynamical systems (Quanputers). For classical problems an operational reformulation is given. A universal algorithm for the solving of classical…

Quantum Physics · Physics 2007-05-23 Nugzar Makhaldiani

Reversible computing is motivated by both pragmatic and foundational considerations arising from a variety of disciplines. We take a particular path through the development of reversible computation, emphasizing compositional reversible…

Logic in Computer Science · Computer Science 2024-06-03 Jacques Carette , Chris Heunen , Robin Kaarsgaard , Amr Sabry

This paper presents a study aiming to analyse the design strategies of experts in object-oriented programming. We report an experiment conducted with four experts. Each subject solved three problems. Our results show that three strategies…

Human-Computer Interaction · Computer Science 2016-08-14 Sophie Chatel , Françoise Détienne

Geometric programming problem is a powerful tool for solving some special type non-linear programming problems. It has a wide range of applications in optimization and engineering for solving some complex optimization problems. Many…

Data Structures and Algorithms · Computer Science 2010-03-25 A. K. Ojha , K. K. Biswal

System-level design methodologies have been introduced as a solution to handle the design complexity of mixed Hardware / Software systems. In this paper we describe a system-level design flow starting from Simulink specification, focusing…

Software Engineering · Computer Science 2012-07-18 Youssef Atat , Mostafa Rizk

Increasing reuse opportunities is a well-known problem for software designers as well as for hardware designers. Nonetheless, current software and hardware engineering practices have embraced different approaches to this problem. Software…

Software Engineering · Computer Science 2011-11-09 Fernando Rincon , Francisco Moya , Jesus Barba , Juan Carlos Lopez

We present an architecture of QCPU(Quantum Central Processing Unit), based on the discrete quantum gate set, that can be programmed to approximate any n-qubit computation in a deterministic fashion. It can be built efficiently to implement…

Quantum Physics · Physics 2009-11-07 Fei Xue , Zeng-Bing Chen , Mingjun Shi , Xianyi Zhou , Jiangfeng Du , Rongdian Han

Heterogeneous computing is one of the most important computational solutions to meet rapidly increasing demands on system performance. It typically allows the main flow of applications to be executed on a CPU while the most computationally…

Software Engineering · Computer Science 2020-12-11 Hugo Andrade , Ola Benderius , Christian Berger , Ivica Crnkovic , Jan Bosch

The Hilbert space formalism of quantum mechanics is reviewed with emphasis on applications to quantum computing. Standard interferomeric techniques are used to construct a physical device capable of universal quantum computation. Some…

High Energy Physics - Theory · Physics 2007-05-23 K. Svozil

Programming with logic for sophisticated applications must deal with recursion and negation, which together have created significant challenges in logic, leading to many different, conflicting semantics of rules. This paper describes a…

Logic in Computer Science · Computer Science 2021-10-07 Yanhong A. Liu , Scott D. Stoller

This paper is a survey on universal algorithms for solving the matrix Bellman equations over semirings and especially tropical and idempotent semirings. However, original algorithms are also presented. Some applications and software…

Rings and Algebras · Mathematics 2014-01-20 Grigory L. Litvinov , Anatoly Ya. Rodionov , Sergei N. Sergeev , Andrei N. Sobolevski

Comparison to traditionally accurate computing, approximate computing focuses on the rapidity of the satisfactory solution, but not the unnecessary accuracy of the solution. Approximate bisimularity is the approximate one corresponding to…

Logic in Computer Science · Computer Science 2015-12-01 Yong Wang

This lecture aims at providing a user's perspective on the main concepts used nowadays for the implementation of numerical algorithm on common computing architecture. In particular, the concepts and applications of Central Processing Units…

Accelerator Physics · Physics 2020-06-19 X. Buffat

Proofs (sequent calculus, natural deduction) and imperative algorithms (pseudocodes) are two well-known coexisting concepts. Then what is their relationship? Our answer is that \[ imperative\ algorithms\ =\ proofs\ with\ cuts \] This…

Logic in Computer Science · Computer Science 2022-02-15 Keehang Kwon , Hyung Joon Kwon

The Curry-Howard correspondence is about a relationship between types and programs on the one hand and propositions and proofs on the other. The implications for programming language design and program verification is an active field of…

Programming Languages · Computer Science 2015-09-15 Jørgen Steensgaard-Madsen