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Add F# type definitions for database normalization forms #59
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This commit introduces a comprehensive F# type system for representing database normalization forms (1NF through 6NF, plus DKNF). Key features: - Core types: CellValue, Relation, FunctionalDependency, MultivaluedDependency - 1NF: Validates atomic values - 2NF: Checks for partial dependencies - 3NF: Detects transitive dependencies - BCNF: Ensures all determinants are superkeys - 4NF: Validates multivalued dependencies - 5NF: Handles join dependencies - 6NF: Supports temporal decomposition - DKNF: Domain-Key Normal Form constraints Each normalization form includes validation logic to check compliance.
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Pull request overview
This PR introduces a comprehensive F# type system for representing and validating database normalization forms, covering the progression from First Normal Form (1NF) through Sixth Normal Form (6NF), plus Domain-Key Normal Form (DKNF). The implementation provides core types for database relations, functional dependencies, and multivalued dependencies, along with validation logic for each normalization level.
Key Changes:
- Core type definitions for database relations, attributes, tuples, and various dependency types (functional, multivalued, join)
- Validation modules for 1NF through 5NF with increasing strictness requirements
- Type definitions for 6NF and DKNF (validation modules not included)
Reviewed changes
Copilot reviewed 2 out of 2 changed files in this pull request and generated 23 comments.
| File | Description |
|---|---|
| FSharp/DatabaseNormalization/NormalizationForms.fs | Implements the complete type hierarchy and validation logic for database normalization forms |
| FSharp/DatabaseNormalization/DatabaseNormalization.fsproj | Project file defining .NET 8.0 target framework and including the normalization forms source file |
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| type Relation3NF = { | ||
| Relation2NF: Relation2NF | ||
| CandidateKeys: AttributeSet list | ||
| // 没有传递依赖:非主属性不依赖于其他非主属性 |
Copilot
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Dec 31, 2025
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The comment contains Chinese characters. For consistency and accessibility in an English codebase, comments should be written in English. Consider translating to "// No transitive dependencies: non-prime attributes do not depend on other non-prime attributes".
| // 没有传递依赖:非主属性不依赖于其他非主属性 | |
| // No transitive dependencies: non-prime attributes do not depend on other non-prime attributes |
| // 违反3NF如果: | ||
| // 1. X 不是超键 | ||
| // 2. Y 包含非主属性 |
Copilot
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Dec 31, 2025
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The comments contain Chinese characters. For consistency and accessibility in an English codebase, comments should be written in English. Consider translating to "// Violates 3NF if:", "// 1. X is not a superkey", and "// 2. Y contains non-prime attributes".
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| if isSuper then false | ||
| else | ||
| // 检查 fd.Right 是否包含非主属性 |
Copilot
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Dec 31, 2025
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The comment contains Chinese characters. For consistency and accessibility in an English codebase, comments should be written in English. Consider translating to "// Check if fd.Right contains non-prime attributes".
| // 检查 fd.Right 是否包含非主属性 | |
| // Check if fd.Right contains non-prime attributes |
| type Relation4NF = { | ||
| RelationBCNF: RelationBCNF | ||
| MultivaluedDependencies: MultivaluedDependency list | ||
| // 对于每个非平凡多值依赖 X ->-> Y,X 必须是超键 |
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Dec 31, 2025
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The comment contains Chinese characters. For consistency and accessibility in an English codebase, comments should be written in English. Consider translating to "// For every non-trivial multivalued dependency X ->-> Y, X must be a superkey".
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| module Relation5NF = | ||
| let validate (r4nf: Relation4NF) (jds: JoinDependency list) = | ||
| // 简化验证:实际实现需要检查连接依赖是否由候选键蕴含 |
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Dec 31, 2025
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The comment contains Chinese characters. For consistency and accessibility in an English codebase, comments should be written in English. Consider translating to "// Simplified validation: actual implementation needs to check if join dependencies are implied by candidate keys".
| open System.Collections.Generic | ||
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Dec 31, 2025
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The System.Collections.Generic namespace is imported but never used in the code. Consider removing this unused import to keep the code clean.
| open System.Collections.Generic |
| let isSuperkey (relation: Relation) (candidateKeys: AttributeSet list) (attrs: AttributeSet) = | ||
| candidateKeys |> List.exists (fun key -> Set.isSubset key attrs) |
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Dec 31, 2025
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The isSuperkey function is duplicated in both Relation3NF and RelationBCNF modules with identical implementations. Consider extracting this to a shared utility module to improve maintainability and reduce code duplication.
| let validate (r4nf: Relation4NF) (jds: JoinDependency list) = | ||
| // 简化验证:实际实现需要检查连接依赖是否由候选键蕴含 | ||
| Some { | ||
| Relation4NF = r4nf | ||
| JoinDependencies = jds | ||
| } |
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Dec 31, 2025
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The Relation5NF.validate function always returns Some without performing any actual validation. This creates a placeholder implementation that could lead to incorrect validation results. The comment acknowledges this is simplified, but it means 5NF validation is not actually working. Consider either implementing proper join dependency validation or explicitly documenting this limitation in the type's documentation.
| // 函数依赖 (Functional Dependency) | ||
| type FunctionalDependency = { | ||
| Left: AttributeSet // X | ||
| Right: AttributeSet // Y | ||
| // 表示 X -> Y | ||
| } |
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Dec 31, 2025
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The comments contain Chinese characters. For consistency and accessibility in an English codebase, comments should be written in English. Consider translating to "// Functional Dependency" and "// Represents X -> Y".
| Relation1NF: Relation1NF | ||
| PrimaryKey: AttributeSet | ||
| FunctionalDependencies: FunctionalDependency list | ||
| // 没有部分依赖:所有非主属性完全依赖于候选键 |
Copilot
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Dec 31, 2025
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The comment contains Chinese characters. For consistency and accessibility in an English codebase, comments should be written in English. Consider translating to "// No partial dependencies: all non-prime attributes fully depend on the candidate key".
| // 没有部分依赖:所有非主属性完全依赖于候选键 | |
| // No partial dependencies: all non-prime attributes fully depend on the candidate key |
This commit introduces a comprehensive F# type system for representing database normalization forms (1NF through 6NF, plus DKNF).
Key features:
Each normalization form includes validation logic to check compliance.