On local modularity and interpolation in entailment systems
✍ Scribed by Paulo A.S. Veloso; José L. Fiadeiro; Sheila R.M. Veloso
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 112 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
✦ Synopsis
We generalise and clarify connections between variants of modularity (preservation of faithfulness) and interpolation by localising them to a diagram in an entailment system. The variants of modularity arise naturally from the idea of building specifications in steps. We establish, by an algebraic approach, connections between these variants and (the existence of) versions of interpolating specifications. We also extend these correspondences to specification and interpolating families, and clarify the role of pushout diagrams in this context.
📜 SIMILAR VOLUMES
In writing this review paper we hoped to stimulate further thinking and research on how complex modular structures emerge and persist. The commentators raised open questions in the field in which we are interested. One of the most urgent theoretical problems is the development of "general, flexibl