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Published in:
Link Invariants from the Yokonuma–Hecke Algebras Read chapter Read first chapter

2017 | OriginalPaper | Chapter

18. Generic Constructions and Generic Limits

Authors : Sergey V. Sudoplatov, Yiannis Kiouvrekis, Petros Stefaneas

Published in: Algebraic Modeling of Topological and Computational Structures and Applications

Publisher: Springer International Publishing

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Abstract

We collect results related to generic constructions and generic limits for semantic and syntactic cases. It is considered both by pure model theory approach and by the institutional approach.

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previous chapter Building and Integrating Semantic Theories over Institutions
next chapter On Combining Algebraic Specifications with First-Order Logic via Athena
Footnotes
1
Note that \(\mathbf{D}_0\) is closed under bijective substitutions since \(\preceq \) is preserved by bijective substitutions and \(\preceq \) is reflexive.
 
2
Note that \(\varPhi (A) \preceq \Psi (B)\) implies \(A \subseteq B\), since if \(a\in A\) then \((a\approx a)\in \varPhi (A)\), so \(\varPhi (A) \preceq \Psi (B)\) implies \(\varPhi (A) \subseteq \Psi (B)\) and we have \((a\approx a)\in \Psi (B)\), whence \(a\in B\).
 
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Metadata
Title
Generic Constructions and Generic Limits
Authors
Sergey V. Sudoplatov
Yiannis Kiouvrekis
Petros Stefaneas
Copyright Year
2017
Book
Algebraic Modeling of Topological and Computational Structures and Applications

Print ISBN: 978-3-319-68102-3

Electronic ISBN: 978-3-319-68103-0

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-68103-0_18

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