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Computer Science
Programming
Functional Programming
1. Introduction to Functional Programming
2. Foundational Concepts
3. Core Techniques and Patterns
4. Type Systems in Functional Programming
5. Advanced Functional Abstractions
6. Functional Architecture and Design
7. Functional Programming in Practice
8. Performance Considerations
9. Advanced Topics
10. Further Study and Resources
9.
Advanced Topics
9.1.
Category Theory Foundations
9.1.1.
Categories and Morphisms
9.1.2.
Functors in Category Theory
9.1.3.
Natural Transformations
9.1.4.
Limits and Colimits
9.1.5.
Adjunctions
9.2.
Type Theory
9.2.1.
Simply Typed Lambda Calculus
9.2.2.
System F
9.2.3.
Dependent Types
9.2.4.
Linear Types
9.2.5.
Effect Types
9.3.
Program Verification
9.3.1.
Formal Verification
9.3.2.
Theorem Proving
9.3.3.
Model Checking
9.3.4.
Contract-Based Programming
9.4.
Compiler Design for Functional Languages
9.4.1.
Parsing Functional Syntax
9.4.2.
Type Checking and Inference
9.4.3.
Optimization Passes
9.4.4.
Code Generation
9.5.
Functional Reactive Programming
9.5.1.
Reactive Streams
9.5.2.
Event Handling
9.5.3.
Time-Varying Values
9.5.4.
Functional Reactive Programming Libraries
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8. Performance Considerations
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10. Further Study and Resources