Tag Archives: Finite Model Theory

A simple relational Model

Modelling foundations: What does a simple diagram ‘thing – relation – thing’ say, in terms of logic? Continue reading

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Categories of semantic Models by Stachowiak

Categorisation by example of semantic models, i.e. models as we use them in software engineering etc, according to Herbert Stachowiak. Continue reading

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Stachowiak on semantic Requirements Modelling

Excerpt of Herbert Stachowiak’s “Allgemeine Modelltheorie” (General Model Theory). Although this is on empirical-scientific models, it provides a foundation of semantic requirements modelling. Continue reading

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Reflections on Abstractions: Cases vs Models

We describe by simple means of basic Finite Model Theory a very important principle in software engineering: modelling properties is more expressive than just collecting cases. This, for example, is the reason why test cases can be derived from specifications but not vice versa. Continue reading

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What might a Theory of Modeling be good for?

Analyzing production etc. of goods and services alone is ‘just’ some social science. What makes it economics, is that they are exchanged in a ‘cooperative’ way, as defined structurally by micro economical theory. Similarly, analysing grammars and behaviour alone is ‘just’ some research on engineering. However only based on a structural “theory of modeling” it will become research on modeling. Continue reading

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2-Structures by Ehrenfeucht et al.

2-Structures theory is mainly concerned with analysing the algebraic properties of switches. Therefore Ehrenfeucht, Harju, Rozenberg give the following example: … Continue reading

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Are your Requirements complete?

Completeness is one big issue in requirements engineering. Here’s how this can be approached by systematic analysis. To me this is already a basic application of modeling and its benefits. Continue reading

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Meanings of “Model”

On the different usages of ‘model’ in the sense of Business Process Model or Entity Relationship Model, and in mathematical Model Theory.

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UML and Complexity aware modeling

I believe that applying complexity classes to UML can provide a substantial benefit, if it can support the controlled (complexity aware) use of language. Continue reading

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Why finiteness counts

To study computation we need a theory of finite structures. Neil Immerman’s quotation, illustrated by Hilbert’s hotel. Continue reading

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