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We present a form of algebraic reasoning for computational objects which are expressed as graphs. Edges describe the flow of data between primitive operations which are represented by vertices. These graphs have an interface made of…

Logic in Computer Science · Computer Science 2010-07-23 Lucas Dixon , Ross Duncan , Aleks Kissinger

In the case of multi-threading as found in contemporary programming languages, parallel processes are interleaved according to what is known as a process-scheduling policy in the field of operating systems. In a previous paper, we extend…

Logic in Computer Science · Computer Science 2020-04-22 C. A. Middelburg

We propose the concept of adaptable processes as a way of overcoming the limitations that process calculi have for describing patterns of dynamic process evolution. Such patterns rely on direct ways of controlling the behavior and location…

Logic in Computer Science · Computer Science 2015-07-01 Mario Bravetti , Cinzia Di Giusto , Jorge A Perez , Gianluigi Zavattaro

The well-known process algebras, such as CCS, ACP and $\pi$-calculus, capture the interleaving concurrency based on bisimilarity semantics. We did some work on truly concurrent process algebras, such as CTC, APTC and $\pi_{tc}$, capture the…

Logic in Computer Science · Computer Science 2021-09-14 Yong Wang

Algebraic characterizations of the computational aspects of functions defined over the real numbers provide very effective tool to understand what computability and complexity over the reals, and generally over continuous spaces, mean. This…

Logic in Computer Science · Computer Science 2016-09-27 Olivier Bournez , Walid Gomaa , Emmanuel Hainry

We introduce an axiomatization for the notion of computation. Based on the idea of Brouwer choice sequences, we construct a model, denoted by $E$, which satisfies our axioms and $E \models \mathrm{ P \neq NP}$. In other words, regarding…

Computational Complexity · Computer Science 2020-01-22 Rasoul Ramezanian

Probabilistic programming is considered as a framework, in which basic components of cognitive architectures can be represented in unified and elegant fashion. At the same time, necessity of adopting some component of cognitive…

Artificial Intelligence · Computer Science 2016-05-05 Alexey Potapov

By adequate employing of complex event processing (CEP), valuable information can be extracted from the underlying complex system and used in controlling and decision situations. An example application area is management of IT systems for…

Software Engineering · Computer Science 2012-08-02 Istvan David

The growing complexity of real-world systems necessitates interdisciplinary solutions to confront myriad challenges in modeling, analysis, management, and control. To meet these demands, the parallel systems method rooted in Artificial…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-26 Yong Zhao , Zhengqiu Zhu , Bin Chen , Sihang Qiu , Jincai Huang , Xin Lu , Weiyi Yang , Chuan Ai , Kuihua Huang , Cheng He , Yucheng Jin , Zhong Liu , Fei-Yue Wang

Influence diagrams provide a compact graphical representation of decision problems. Several algorithms for the quick computation of their associated expected utilities are available in the literature. However, often they rely on a full…

Artificial Intelligence · Computer Science 2017-01-19 Manuele Leonelli , Eva Riccomagno , Jim Q. Smith

Graphical models have been widely used in applications ranging from medical expert systems to natural language processing. Their popularity partly arises since they are intuitive representations of complex inter-dependencies among variables…

Artificial Intelligence · Computer Science 2020-07-31 Roland R. Ramsahai

This paper presents the mechanization of a process algebra for Mobile Ad hoc Networks and Wireless Mesh Networks, and the development of a compositional framework for proving invariant properties. Mechanizing the core process algebra in…

Logic in Computer Science · Computer Science 2015-12-24 Timothy Bourke , Robert J. van Glabbeek , Peter Höfner

Many statistical models are algebraic in that they are defined in terms of polynomial constraints, or in terms of polynomial or rational parametrizations. The parameter spaces of such models are typically semi-algebraic subsets of the…

Statistics Theory · Mathematics 2010-03-04 Mathias Drton , Seth Sullivant

We discuss the deal of imperfectness of atomic actions in reality with the background of process algebras. And we show the applications of the imperfect actions in verification of computational systems.

Logic in Computer Science · Computer Science 2023-06-14 Yong Wang

In modern science, computer models are often used to understand complex phenomena, and a thriving statistical community has grown around analyzing them. This review aims to bring a spotlight to the growing prevalence of stochastic computer…

Linear programming (LP) is an extremely useful tool and has been successfully applied to solve various problems in a wide range of areas, including operations research, engineering, economics, or even more abstract mathematical areas such…

Data Structures and Algorithms · Computer Science 2020-03-19 Agniva Chowdhury , Palma London , Haim Avron , Petros Drineas

Approximate Bayesian computation (ABC) has become an essential tool for the analysis of complex stochastic models when the likelihood function is numerically unavailable. However, the well-established statistical method of empirical…

Computation · Statistics 2015-06-05 K. L. Mengersen , P. Pudlo , C. P. Robert

The starting point of this paper is a collection of properties of an algorithm that have been distilled from the informal descriptions of what an algorithm is that are given in standard works from the mathematical and computer science…

Computational Complexity · Computer Science 2024-09-05 C. A. Middelburg

Approximate Bayesian computation (ABC) methods perform inference on model-specific parameters of mechanistically motivated parametric statistical models when evaluating likelihoods is difficult. Central to the success of ABC methods is…

Computation · Statistics 2013-01-29 Erkan O. Buzbas , Noah A. Rosenberg

Computer experiments with both quantitative and qualitative (QQ) inputs are commonly used in science and engineering applications. Constructing desirable emulators for such computer experiments remains a challenging problem. In this…

Methodology · Statistics 2022-03-22 Qian Xiao , Abhyuday Mandal , C. Devon Lin , Xinwei Deng