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Journal as Active Math-Agents: Outline of a Project with a Mathematics Publisher

Journal as Active Math-Agents: Outline of a Project with a M...

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9th international symposium on symbolic and numeric algorithms for scientific computing

作者： Buchberger, Bruno Johannes Kepler Univ Linz Symbol Computat Res Inst Linz Austria

ISBN: (纸本)9780769530789

As in any other scientific field, the quality control (by peer reviewing), archiving and distribution of knowledge in mathematics is organized by journals. Currently, mathematical journals represent huge chunks of knowledge that sit passively on a shelf and wait for a human user to read or query them. In contrast, what we want to achieve in this project is the transformation of the knowledge contained in mathematical journals into formal mathematical knowledge bases that behave as active reasoning agents.

关键词： Mathematics Peer to peer computing Quality control scientific computing Distributed computing Humans History Feedback Instruments Concrete

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OpenStack and CloudStack: Open Source Solutions for Building Public and Private Clouds 16

OpenStack and CloudStack: Open Source Solutions for Building...

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16th international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Barkat, Amine dos Santos, Alysson Diniz thi thao Nguyen Ho Politecn Milan Dipartimento Elettron Informaz & Bioingn I-20133 Milan Italy

ISBN: (纸本)9781479984480

Cloud computing is continuously growing as a prominent technology for enterprises. While several giant public cloud providers, such as Amazon, Microsoft, IBM, Google are competing to extend their market, there is still a large number of organizations asking higher level of privacy and control over cloud solutions. therefore, the need to have private cloud solutions is obvious. To overcome this need there are several on-going open source software frameworks for building public and private clouds. Among them, OpenStack and CloudStack are growing at fast pace and gaining more attention. An analysis on these software stacks is necessary in order to choose the most suitable solution that matches an enterprise's requirements. this paper main contribution is an in depth study and comparison of the cloud properties of these two open source frameworks, providing useful information on open source cloud solutions that are not available elsewhere.

关键词： OpenStack CloudStack cloud computing open source public cloud private cloud IaaS

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Experiences in symbolic computations for matrix problems

Experiences in symbolic computations for matrix problems

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14th international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Kasjan, Stanislaw Mroz, Andrzej Nicholas Copernicus Univ Fac Math & Comp Sci Torun Poland

ISBN: (纸本)9780769549347;9781467350266

We review our recent results concerning several computer algebra aspects of determining canonical forms, performing a decomposition and deciding the isomorphism question for matrix problems. We consider them in the language of finite dimensional modules over algebra and the language of square block matrices with an action of elements from some subalgebra of the full matrix algebra. We present an efficient (polynomial-time) improvement of classical Bongartz's algorithm for determining a maximal common direct summand of modules, and its application to solving the isomorphism problem. the improved algorithm recently became a part of QPA package ver. 1.07 for GAP. We also study the behaviour of Belitskii's algorithm for determining certain canonical form on a class of square block matrices, especially for matrix problems associated with a poset. Both problems can be considered as a highly generalized classical Jordan problem for square matrices.

关键词： matrix decomposition process algebra symbol manipulation

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Challenges in Verifying Arithmetic Circuits Using Computer Algebra 19

Challenges in Verifying Arithmetic Circuits Using Computer A...

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19th international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Biere, Armin Kauers, Manuel Ritirc, Daniela Johannes Kepler Univ Linz Altenbergerstr 69 A-4040 Linz Austria

ISBN: (纸本)9781538626269

Verifying arithmetic circuits is an important problem which still requires considerable manual effort. For instance multipliers are considered difficult to verify. the currently most effective approach for arithmetic circuit verification uses computer algebra. In this approach the circuit is modeled as a set of pseudo-boolean polynomials and it is checked if the given word-level specification is implied by the circuit polynomials. For this purpose the theory of Grobner bases is used. In this paper we give a summary of two recent papers on this work. We reword the theory and illustrate the results of these papers by examples. We also present a new technical theorem which allows to rewrite local parts of the Grobner basis. Rewriting the Grobner basis has tremendous effect on computation time.

关键词： Logic gates Algebra Integrated circuit modeling Computational modeling Adders scientific computing Manuals

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Performance analysis of generics in scientific computing

Performance analysis of generics in scientific computing

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7th international symposium on symbolic and numeric algorithms for scientific computing, SYNASC 2005

作者： Dragan, Laurentiu Watt, Stephen M. Ontario Research Centre for Computer Algebra University of Western Ontario London Ont. N6A 5B7 Canada

ISBN: (纸本)0769524532

this paper studies the performance of generics, or templates as they are sometimes called, for scientific computing in various programming languages. In order to understand the cost of using generics, we develop a test suite for generics based on a standard numeric benchmark. We compare the results of this new benchmark for generics in C++, C# and Java, both between language implementations and against the specialized, non-generic benchmark. We also compare the efficiency of C++ with Aldor, a language originally for computer algebra relying entirely on generics. We find that the implementation of generics in current compilers must be improved before they are used for efficiency-critical scientific applications, and we identify specific areas for potential optimization. © 2005 IEEE.

关键词： Natural sciences computing

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symbolic State Space Exploration of RT Systems in the Cloud 14th

Symbolic State Space Exploration of RT Systems in the Cloud

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14th international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Bellettini, Carlo Camilli, Matteo Capra, Lorenzo Monga, Mattia Univ Milan Dept Comp Sci Milan Italy

ISBN: (纸本)9780769549347;9781467350266

the growing availability of distributed and cloud computing frameworks makes it possible to face complex computational problems in a more effective and convenient way. A notable example is state-space exploration of discrete-event systems specified in a formal way. the exponential complexity of this task is a major limitation to the usage of consolidated analysis techniques and tools. Several techniques for addressing the state space explosion problem within this context have been studied in the literature. One of these is to use distributed memory and computation to deal with the state space explosion problem. In this paper we study and compare two different approaches, relying on distributed and cloud frameworks, respectively. these approaches were designed and implemented following the same computational schema, a sort of map & fold. they are applied on symbolic state-space exploration of real-time systems specified by (a timed extension of) Petri Nets, by re-adapting a sequential algorithm implemented as a command-line Java tool. the outcome of several tests performed on a benchmarking specification are presented, thus showing the convenience of distributed approaches.

关键词： Petri nets Real-Time systems symbolic computation State-space explosion problem Distributed computing Cloud computing Map-Reduce

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Soundness of a Logic-Based Verification Method for Imperative Loops

Soundness of a Logic-Based Verification Method for Imperativ...

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14th international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Erascu, Madalina Jebelean, Tudor Johannes Kepler Univ Linz Symbol Computat Res Inst A-4040 Linz Austria

ISBN: (纸本)9780769549347;9781467350266

We present a logic-based verification method for imperative loops (including ones with abrupt termination) and the automatic proof of its soundness. the verification method consists in generating verification conditions for total correctness of an imperative loop annotated with an invariant. We realized, in the theorema system (***), the automatic proof of the soundness of verification method: if the verification conditions hold, then the imperative loop is totally correct with respect to its given invariant. the approach is simpler than the others because it is based on functional semantics (no additional theory of program execution is necessary) and produces verification conditions in the object theory of the program. the computer-supported proofs reveal the minimal collection of logical assumptions (some from natural number theory) and logical inferences (including induction) which are necessary for the soundness of the verification technique.

关键词： program analysis and verification symbolic execution semantics induction termination theorema system

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Model-Driven Design of Cloud Applications with Quality-of-Service Guarantees: the MODAClouds Approach MICAS Tutorial 16

Model-Driven Design of Cloud Applications with Quality-of-Se...

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16th international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： da Silva, Marcos Aurelio Almeida Ferry, Nicolas Ardagna, Danilo Perez, Juan F. Softeam Paris France SINTEF Trondheim Norway Politecn Milan Dipartimento Elettron Informaz & Bioingn Milan Italy Univ London Imperial Coll Sci Technol & Med Dept Comp London SW7 2AZ England

ISBN: (纸本)9781479984480

the competition between cloud providers has led to an impressive set of cloud solutions offered to consumers. the ability to properly design and deploy multi-cloud applications (i.e., applications deployed on multiple clouds) allows exploiting the peculiarities of each cloud solution and hence optimizing the performance and cost of the applications. However, this is hindered by the large heterogeneity of the existing cloud offerings. In this work, we present the model-driven methodology and tools developed within the MODAClouds European project to support the design of multi-cloud applications. In particular, the proposed framework promotes a model driven approach to help reducing vendor "lock-in", support multi-cloud deployments, and provide solutions for estimating and optimizing the performance of multi-cloud applications at design-time.

关键词： Model-Driven-Development Cloud computing Quality of Service Capacity Allocation Optimization

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Specifications and verification of network protocols by process algebra

Specifications and verification of network protocols by proc...

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7th international symposium on symbolic and numeric algorithms for scientific computing, SYNASC 2005

作者： Ciobanu, Gabriel Sridhar, K.N. Research Institute e-Austria Timişoara Romania Romanian Academy Institute of Computer Science Iaşi Romania National University of Singapore School of Computing

ISBN: (纸本)0769524532

this paper describes the specification and verification techniques for network protocols, concentrating on one hand on process algebras, and on the other hand on techniques for specific layers. the original contribution is given by new pi-calculus rules representing a set of specific patterns for expressing protocol behavior. the paper provides a review of the verification tools, and proposes a few extensions. © 2005 IEEE.

关键词： Network protocols

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Measuring and Comparing the Scaling Behaviour of a High-Performance CFD Code on Different Supercomputing Infrastructures 17

Measuring and Comparing the Scaling Behaviour of a High-Perf...

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17th international symposium on symbolic and numeric algorithms for scientific computing (SYNASC)

作者： Frisch, Jerome Mundani, Ralf-Peter Rhein Westfal TH Aachen Inst Energy Efficiency & Sustainable Bldg E3D D-52074 Aachen Germany Tech Univ Munich Chair Computat Engn D-80333 Munich Germany

ISBN: (纸本)9781509004614

Parallel code design is a challenging task especially when addressing petascale systems for massive parallel processing (MPP), i.e. parallel computations on several hundreds of thousands of cores. An in-house computational fluid dynamics code, developed by our group, was designed for such high-fidelity runs in order to exhibit excellent scalability values. Basis for this code is an adaptive hierarchical data structure together with an efficient communication and (numerical) computation scheme that supports MPP. For a detailled scalability analysis, we performed several experiments on two of Germany's national supercomputers up to 140,000 processes. In this paper, we will show the results of those experiments and discuss any bottlenecks that could be observed while solving engineering-based problems such as porous media flows or thermal comfort assessments for problem sizes up to several hundred billion degrees of freedom.

关键词： high-performance computing adaptive data structure multi-grid-like solver concept speed-up measurements

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