Core Concepts
A novel methodology for proving the correctness of SQL implementations of OCL constraints using many-sorted first-order logic.
Abstract
The article discusses the importance of OCL constraints in model-driven development, highlighting the inefficiency of code-generators in producing SQL queries. It introduces a model-based methodology for proving the correctness of manually written SQL implementations of OCL constraints. The methodology involves mapping SQL language into many-sorted first-order logic and leveraging SMT solvers for automatic correctness proofs. Examples are provided to illustrate the approach.
-
Introduction
- Model-driven engineering aims to develop software systems using models.
- UML and OCL play crucial roles in defining software systems precisely.
-
Mapping OCL to MSFOL
- OCL expressions are evaluated in object models.
- Assignments and mappings from OCL to MSFOL are defined.
-
Mapping SQL to MSFOL
- SQL is used for managing data in relational database systems.
- The mapping context and correctness notions are explained.
-
Examples
- Non-trivial examples demonstrate the correctness proofs of SQL implementations of OCL constraints.
-
Tool Support
- Tools like OCL2MSFOL, SQL2MSFOL, and OCLSQLProver automate the transformation process.
-
Related Work
- Comparison with existing mappings and tools in the field.
-
Conclusions and Future Work
- Proposal of a novel methodology for proving correctness in SQL implementations of OCL constraints.
- Future work includes extending the mapping and formal proof of correctness.
Stats
"In particular, for the corresponding correctness proof, we use the files exm1-C1, exm1-C2, and exm1-C3 at [20]."
"In particular, for the corresponding correctness proof, we use the files exm2-C1, exm2-C2, and exm2-C3 at [20]."
"In particular, for the corresponding correctness proof, we use the files exm3-C1, exm3-C2, and exm3-C3 at [20]."
"In particular, for the corresponding correctness proof, we use the files exm4-C1, exm4-C2, and exm4-C3 at [20]."
"In particular, for the corresponding correctness proof, we use the files exm5-C1, exm5-C2, and exm5-C3 at [20]."
Quotes
"Our methodology is based on a novel mapping, called SQL2-MSFOL, from a significant subset of the SQL language into many-sorted first-order logic."
"Moreover, by leveraging on the mapping OCL2-MSFOL from the OCL language into many-sorted first-order logic, we can use SMT solvers to automatically prove the correctness of SQL implementations of OCL constraints."