类型理论，计算机代数和动力系统

2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775) Pub Date : 2003-08-20 DOI:10.1109/PHYCON.2003.1236793

A.V. Flegontov, S. Soloviev

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引用次数: 0

摘要

类型论是现代数理逻辑中最活跃的研究方向之一。它支持数学计算的建设性形式化，包括分析计算。在大多数所谓的证明助手(支持交互式证明检查和开发的软件)中，类型理论被用作基础。其中一个重要的问题是证明辅助工具与计算机代数系统的有效结合使用问题。这里考虑的是一类用微分方程表示的复杂多参数非线性动力系统。

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Type theory, computer algebra & dynamical systems

Type theory is one of most active directions in modern mathematical logic. It supports constructive formalization of mathematical computations, including analytical ones. Type theory is used as a basis in most of so called proof assistants (software supporting interactive proof-check and development). One of important problems is the problem of efficient combined use of proof assistants and computer algebra systems. Here this problem is considered in the context of complex multiparametric nonlinear dynamical systems represented by differential equations of some types.

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2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)

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