Article | Proceedings of the 2nd International Workshop on Equation-Based Object-Oriented Languages and Tools | Type-Based Structural Analysis for Modular Systems of Equations

Title:
Type-Based Structural Analysis for Modular Systems of Equations
Author:
Henrik Nilsson: School of Computer Science, University of Nottingham, UK
Download:
Full text (pdf)
Year:
2008
Conference:
Proceedings of the 2nd International Workshop on Equation-Based Object-Oriented Languages and Tools
Issue:
029
Article no.:
008
Pages:
71-81
No. of pages:
11
Publication type:
Abstract and Fulltext
Published:
2008-07-02
ISBN:
978-91-7519-823-1
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press; Linköpings universitet


This paper investigates a novel approach to a type system for modular systems of equations; i.e.; equation systems constructed by composition of individual equation system fragments. The purpose of the type system is to ensure; to the extent possible; that the composed system is solvable. The central idea is to attribute a structural type to equation system fragments that reflects which variables occur in which equations. In many instances; this allows over- and underdetermined system fragments to be identified separately; without first having to assemble all fragments into a complete system of equations. The setting of the paper is equation-based; non-causal modelling; specifically Functional Hybrid Modelling (FHM). However; the central ideas are not tied to FHM; but should be applicable to equation-based modelling languages in general; like Modelica; as well as to applications featuring modular systems of equations outside the field of modelling and simulation.

Keywords: Equation-based; non-causal modelling; Modelica; Functional Hybrid Modelling; structural analysis; types; type-based analysis; dependent types

Proceedings of the 2nd International Workshop on Equation-Based Object-Oriented Languages and Tools

Author:
Henrik Nilsson
Title:
Type-Based Structural Analysis for Modular Systems of Equations
References:

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Proceedings of the 2nd International Workshop on Equation-Based Object-Oriented Languages and Tools

Author:
Henrik Nilsson
Title:
Type-Based Structural Analysis for Modular Systems of Equations
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