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Performing multiple computations within the same system, without spatial or temporal separation of tasks, requires encoding multiple data items into a well-defined physical state. The most widely explored mechanism for such encoding is the…

Emerging Technologies · Computer Science 2026-05-07 Mikhail Erementchouk , Pinaki Mazumder

A polymorphic analysis is an analysis whose input and output contain parameters which serve as placeholders for information that is unknown before analysis but provided after analysis. In this paper, we present a polymorphic groundness…

Programming Languages · Computer Science 2007-05-23 Lunjin Lu

Partial algebras and datatypes are discussed with the use of signatures that allow partial functions, and a three-valued short-circuit (sequential) first order logic with a Tarski semantics. The propositional part of this logic is also…

Logic in Computer Science · Computer Science 2026-05-14 Jan A. Bergstra , Alban Ponse

The reasoning with qualitative uncertainty measures involves comparative statements about events in terms of their likeliness without necessarily assigning an exact numerical value to these events. The paper is divided into two parts. In…

Logic · Mathematics 2024-03-18 Marta Bilkova , Sabine Frittella , Daniil Kozhemiachenko , Ondrej Majer

For any Carter diagram $\Gamma$ containing 4-cycle, we introduce the partial Cartan matrix $B_L$, which is similar to the Cartan matrix associated with a Dynkin diagram. A linkage diagram is obtained from $\Gamma$ by adding one root…

Representation Theory · Mathematics 2015-03-17 Rafael Stekolshchik

Landauer's principle places a fundamental lower limit on the work required to perform a logically irreversible operation. Logically reversible gates provide a way to avoid these work costs, and also simplify the task of making the…

Computational Physics · Physics 2023-11-16 Ian Seet , Thomas E. Ouldridge , Jonathan P. K. Doye

Models of complex systems are widely used in the physical and social sciences, and the concept of layering, typically building upon graph-theoretic structure, is a common feature. We describe an intuitionistic substructural logic called…

Logic in Computer Science · Computer Science 2023-06-22 Simon Docherty , David Pym

We naturally obtain the NOT and CNOT logic gates, which are key pieces of quantum computing algorithms, in the framework of the non-Abelian Chern-Simons-Higgs theory in two spatial dimensions. For that, we consider the anyonic quantum…

High Energy Physics - Theory · Physics 2013-12-04 J. C. Brozeguini , E. C. Marino

Synthesis of quaternary quantum circuits involves basic quaternary gates and logic operations in the quaternary quantum domain. In this paper, we propose new projection operations and quaternary logic gates for synthesizing quaternary logic…

Other Computer Science · Computer Science 2012-10-31 Sudhindu Bikash Mandal , Amlan Chakrabarti , Susmita Sur-Kolay

A correspondence is established between the elements of logic reasoning systems (knowledge bases, rules, inference and queries) and the hardware and dynamical operations of neural networks. The correspondence is framed as a general…

Disordered Systems and Neural Networks · Physics 2007-05-23 Joao Martins , R. Vilela Mendes

The root is an important organ of a plant since it is responsible for water and nutrient uptake. Analyzing and modelling variabilities in the geometry and topology of roots can help in assessing the plant's health, understanding its growth…

Graphics · Computer Science 2021-01-26 Guan Wang , Hamid Laga , Jinyuan Jia , Stanley J. Miklavcic , Anuj Srivastava

The concept of boolean autonomous deterministic regular asynchronous system has its origin in switching theory, the theory of modeling the switching circuits from the digital electrical engineering. The attribute boolean vaguely refers to…

Dynamical Systems · Mathematics 2014-12-18 Serban E. Vlad

In an isomorphic copy of the ring of symmetric polynomials we study some families of polynomials which are indexed by rational weight vectors. These families include well known symmetric polynomials, such as the elementary, homogeneous, and…

Combinatorics · Mathematics 2007-05-23 Trueman MacHenry , Geanina Tudose

Metaheuristic and self-organizing criticality (SOC) could contribute to robust computation under perturbed environments. Implementing a logic gate in a computing system in a critical state is one of the intriguing ways to study the role of…

Artificial Intelligence · Computer Science 2021-12-16 Yukio-Pegio Gunji , Yoshihiko Ohzawa , Terutaka Tanaka

This paper proposes the use of Eukaryotic cells, namely astrocytes, to develop logic gates. The logic gates are achieved by manipulating the threshold of Ca$^{2+}$ ion flows between the cells, based on the input signals. Through wet-lab…

Structures based on polarities have been used to provide relational semantics for propositional logics that are modelled algebraically by non-distributive lattices with additional operators. This article develops a first order notion of…

Logic · Mathematics 2023-11-08 Robert Goldblatt

Bayesian networks provide an elegant formalism for representing and reasoning about uncertainty using probability theory. Theyare a probabilistic extension of propositional logic and, hence, inherit some of the limitations of propositional…

Artificial Intelligence · Computer Science 2007-05-23 Kristian Kersting , Luc De Raedt

Nanoparticles interconnected by insulating organic molecules exhibit nonlinear switching behavior at low temperatures. By assembling these switches into a network and manipulating charge transport dynamics through surrounding electrodes,…

Emerging Technologies · Computer Science 2023-12-11 Jonas Mensing , Wilfred G. van der Wiel , Andreas Heuer

We propose a static and a dynamic approach to model biological signaling networks, and show how each can be used to answer relevant biological questions. For this we use the two different mathematical tools of Propositional Logic and…

Quantitative Methods · Quantitative Biology 2009-05-13 Utz-Uwe Haus , Kathrin Niermann , Klaus Truemper , Robert Weismantel

Memtranstor that correlates charge and magnetic flux via nonlinear magnetoelectric effects has a great potential in developing next-generation nonvolatile devices. In addition to multi-level nonvolatile memory, we demonstrate here that…

Emerging Technologies · Computer Science 2017-01-04 Jianxin Shen , Dashan Shang , Yisheng Chai , Yue Wang , Junzhuang Cong , Shipeng Shen , Liqin Yan , Wenhong Wang , Young Sun