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Setting Limits on Supersymmetry Using Simplified Models
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Limits of Schema Mappings.

Phokion G Kolaitis1, Reinhard Pichler2, Emanuel Sallinger3

  • 11UC Santa Cruz and IBM Research-Almaden, Santa Cruz, CA USA.

Theory of Computing Systems
|July 2, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces a dynamic view of schema mappings, analyzing sequences and their limits. We reveal significant differences between GAV and LAV schema mappings in data integration and interoperability.

Keywords:
LimitsPointwise convergenceSchema mappingsUniform convergence

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Area of Science:

  • Computer Science
  • Database Theory
  • Data Integration

Background:

  • Schema mappings are crucial for data exchange and integration.
  • Previous research treated schema mappings as static objects.
  • The composition of schema mappings has been limited to pairs.

Purpose of the Study:

  • To explore the dynamic behavior of sequences of schema mappings.
  • To analyze the limiting behavior of these sequences.
  • To investigate differences between GAV and LAV schema mappings.

Main Methods:

  • Introduced a distance metric on sets of finite target instances.
  • Investigated pointwise and uniform limits of schema mapping sequences.
  • Studied pointwise Cauchy and uniformly Cauchy sequences.

Main Results:

  • Obtained results on limits of GAV and LAV schema mapping sequences.
  • Revealed striking differences between GAV and LAV schema mappings.
  • Represented limits using generalized schema mappings with infinite target instances.

Conclusions:

  • Schema mapping sequences exhibit dynamic properties with distinct behaviors for GAV and LAV types.
  • The study provides a framework for understanding the long-term behavior of schema mappings.
  • Generalized schema mappings offer a way to represent limits in data integration.