Implicit Representation of Structural Constraints in ER-to-Relational Transformation: An Analysis of Cardinality Preservation

Fuente: arXiv
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Main Author: Pieris, Dhammika
Format: Preprint
Published: 2026
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author Pieris, Dhammika
author_facet Pieris, Dhammika
contents This study examines the extent to which structural constraints specified in conceptual schemas are represented after transformation to logical schemas. Focusing on the conceptual-to-logical mapping, an Entity-Relationship (ER) model containing binary relationship types is transformed into a Relational Database Schema (RDS). The analysis is conducted under the classical transformation framework in which the logical schema is defined solely by primary key (PK) and foreign key (FK) constraints. Using generalised ER models with variable structural constraint values, the resulting RDS structures are evaluated to determine whether minimum and maximum participation constraints are represented unambiguously. The findings show that, for one-to-one and one-to-many relationships, RDSs do not unambiguously capture minimum participation constraints and do not encode exact maximum participation beyond limited cases. For many-to-many relationships, the schema indicates only that maximum cardinalities exceed one, without preserving exact values. These results clarify the representational limits of standard ER-to-relational transformations and have implications for schema design and constraint enforcement.
format Preprint
id arxiv_https___arxiv_org_abs_2602_12856
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Implicit Representation of Structural Constraints in ER-to-Relational Transformation: An Analysis of Cardinality Preservation
Pieris, Dhammika
Databases
This study examines the extent to which structural constraints specified in conceptual schemas are represented after transformation to logical schemas. Focusing on the conceptual-to-logical mapping, an Entity-Relationship (ER) model containing binary relationship types is transformed into a Relational Database Schema (RDS). The analysis is conducted under the classical transformation framework in which the logical schema is defined solely by primary key (PK) and foreign key (FK) constraints. Using generalised ER models with variable structural constraint values, the resulting RDS structures are evaluated to determine whether minimum and maximum participation constraints are represented unambiguously. The findings show that, for one-to-one and one-to-many relationships, RDSs do not unambiguously capture minimum participation constraints and do not encode exact maximum participation beyond limited cases. For many-to-many relationships, the schema indicates only that maximum cardinalities exceed one, without preserving exact values. These results clarify the representational limits of standard ER-to-relational transformations and have implications for schema design and constraint enforcement.
title Implicit Representation of Structural Constraints in ER-to-Relational Transformation: An Analysis of Cardinality Preservation
topic Databases
url https://arxiv.org/abs/2602.12856