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Structured and Parametrized Theories

Authors: Michael Kohlhase;

Structured and Parametrized Theories

Abstract

In Chapter 5 we have seen a simple use of theories in OpenMath content dictionaries. There, theories have been used to reference OpenMath symbols and to govern their visibility. In this chapter we will cover an extended example showing the structured definition of multiple mathematical theories, modularizing and re-using parts of specifications and theories. Concretely, we will consider a structured specification of lists of natural numbers. This example has been used as a paradigmatic example for many specification formats ranging from Casl (Common Abstract Specification Language [CoF04]) standard to the Pvs theorem prover [ORS92], since it uses most language elements without becoming too unwieldy to present.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
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