curryhoward

Automatic code generation for Scala functions and expressions via the Curry-Howard isomorphism

23 articles 262 View on GitHub ↗
23 articles
Integrating curryhoward with Cats and Scalaz for Automatic Type Class Derivation

Explore integrating curryhoward with Cats and Scalaz for automatic type class derivation. Generate instances using intuitionistic logic, simplifying your Scala projects.

tutorial
Feb 27, 2026
Limitations of curryhoward with Zero‑Argument Functions: A Technical Analysis

Explore the limitations of curryhoward with zero-argument functions. Learn why its type engine fails to synthesize implementations for UnitT, impacting lambda term generation.

technical-analysis
Feb 27, 2026
Understanding Eta-Contraction and Alpha-Conversion in CurryHoward's Term Simplification

Learn how eta-contraction and alpha-conversion simplify terms in CurryHoward's theorem prover, eliminating redundant arguments and preventing variable capture for clean lambda terms.

deep-dive
Feb 27, 2026
How to Automatically Implement Functions for the State Monad Using CurryHoward

Automatically implement State monad functions like point map and flatMap with CurryHoward. Derive transformations from type signatures for efficient compile-time synthesis.

how-to-guide
Feb 27, 2026
How to Use the `WithLambdaTerm` Extension to Access Generated Lambda-Terms at Runtime

Discover how to use the WithLambdaTerm extension to access generated lambdaTerms at runtime. Inspect the symbolic lambda-calculus representation of your synthesized functions.

how-to-guide
Feb 27, 2026
How CurryHoward Converts STLC Terms into Scala Code via Macros

Learn how CurryHoward converts STLC terms to Scala code using macros. Discover compile-time type expression building, LJT proofs, and Scala AST emission.

how-to-guide
Feb 27, 2026
Performance Implications of Compile-Time Theorem Proving in curryhoward

Explore compile-time theorem proving performance in curryhoward. Understand Scala compilation costs and how heuristics manage exponential complexity for efficient type checking.

performance
Feb 27, 2026
How to Use `anyOfType` to Get All Possible Implementations in Curry-Howard Regardless of Information Loss

Discover how to use the anyOfType macro to retrieve all implementations of a type in Curry-Howard, bypassing information loss for complete results.

how-to-guide
Feb 27, 2026
How CurryHoward Handles Tuples and Functions with Arity Greater Than 2

Discover how CurryHoward elegantly manages tuples and functions with arity greater than 2 by encoding them as named conjunctions and nested curried terms.

deep-dive
Feb 27, 2026
Does CurryHoward Support Type Aliases and Parametric Polymorphism?

Discover if CurryHoward supports type aliases and parametric polymorphism. Learn how its Scala macro system handles type aliasing and type parameters for robust code.

deep-dive
Feb 27, 2026
How to Resolve Compile-Time Errors When Multiple CurryHoward Implementations Have Equal Information Loss

Resolve CurryHoward compile-time errors caused by equal information loss. Learn to make types specific, use literal arguments, or apply allOfType to fix ambiguity.

how-to-guide
Feb 27, 2026
How the typeExpr Macro Constructs Lambda-Calculus Type Expressions from Scala Types

Learn how the typeExpr macro transforms Scala types into lambda-calculus type expressions using compile-time reflection. Discover its AST construction for functions, case classes, and sealed traits.

deep-dive
Feb 27, 2026

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