# curryhoward | Chymyst | Knowledge Base | Instagit

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

GitHub Stars: 262

Repository: https://github.com/chymyst/curryhoward

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## Articles

### [Integrating curryhoward with Cats and Scalaz for Automatic Type Class Derivation](/chymyst/curryhoward/potential-integration-of-curryhoward-with-cats-and-scalaz-for-type-class-derivation)

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

- Tags: tutorial
- Published: 2026-02-27

### [Limitations of curryhoward with Zero‑Argument Functions: A Technical Analysis](/chymyst/curryhoward/limitations-of-curryhoward-with-zero-argument-functions)

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

- Tags: technical-analysis
- Published: 2026-02-27

### [Understanding Eta-Contraction and Alpha-Conversion in CurryHoward's Term Simplification](/chymyst/curryhoward/understanding-eta-contraction-and-alpha-conversion-in-curryhowards-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.

- Tags: deep-dive
- Published: 2026-02-27

### [How to Automatically Implement Functions for the State Monad Using CurryHoward](/chymyst/curryhoward/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.

- Tags: how-to-guide
- Published: 2026-02-27

### [How to Use the `WithLambdaTerm` Extension to Access Generated Lambda-Terms at Runtime](/chymyst/curryhoward/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.

- Tags: how-to-guide
- Published: 2026-02-27

### [How CurryHoward Converts STLC Terms into Scala Code via Macros](/chymyst/curryhoward/how-does-curryhoward-convert-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.

- Tags: how-to-guide
- Published: 2026-02-27

### [Performance Implications of Compile-Time Theorem Proving in curryhoward](/chymyst/curryhoward/what-are-the-performance-implications-of-using-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.

- Tags: performance
- Published: 2026-02-27

### [How to Use `anyOfType` to Get All Possible Implementations in Curry-Howard Regardless of Information Loss](/chymyst/curryhoward/how-to-use-anyoftype-to-get-all-possible-implementations-regardless-of-information-loss-score)

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

- Tags: how-to-guide
- Published: 2026-02-27

### [How CurryHoward Handles Tuples and Functions with Arity Greater Than 2](/chymyst/curryhoward/how-does-curryhoward-handle-tuples-and-functions-with-arities-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.

- Tags: deep-dive
- Published: 2026-02-27

### [Does CurryHoward Support Type Aliases and Parametric Polymorphism?](/chymyst/curryhoward/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.

- Tags: deep-dive
- Published: 2026-02-27

### [How to Resolve Compile-Time Errors When Multiple CurryHoward Implementations Have Equal Information Loss](/chymyst/curryhoward/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.

- Tags: how-to-guide
- Published: 2026-02-27

### [How the typeExpr Macro Constructs Lambda-Calculus Type Expressions from Scala Types](/chymyst/curryhoward/how-does-the-typeexpr-macro-construct-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.

- Tags: deep-dive
- Published: 2026-02-27

### [How to Automatically Implement Functions for the Reader Monad Using CurryHoward](/chymyst/curryhoward/how-to-automatically-implement-functions-for-the-reader-monad-using-curryhoward)

Automatically implement Reader monad functions like point map and flatMap in Scala using CurryHoward's implement macro Save time and effort by generating code from type signatures alone

- Tags: how-to-guide
- Published: 2026-02-27

### [Limitations of CurryHoward When Dealing With Recursive Types: A Deep Dive Into the Scala Macro Implementation](/chymyst/curryhoward/what-are-the-limitations-of-curryhoward-when-dealing-with-recursive-types)

Explore CurryHoward's limitations with recursive types in Scala macros. Discover why it struggles with mutual recursion and nested constructors due to its RecurseT design.

- Tags: deep-dive
- Published: 2026-02-27

### [LJT Sequent Calculus Theorem Prover in curryhoward: Implementation and Usage Guide](/chymyst/curryhoward/what-is-the-ljt-sequent-calculus-theorem-prover-implementation-in-curryhoward)

Explore LJT sequent calculus theorem prover in curryhoward. Learn how it synthesizes Scala type proof terms using recursive rules and memoization for efficient theorem proving.

- Tags: implementation-and-usage-guide
- Published: 2026-02-27

### [How to Create Fresh Variable Terms for Lambda-Calculus Expressions Using `freshVar`](/chymyst/curryhoward/how-to-create-fresh-variable-terms-for-lambda-calculus-expressions-using-freshvar)

Learn to create fresh variable terms for lambda-calculus expressions with the io.chymyst.ch `freshVar` macro. Generate unique Vars at compile time, preventing variable capture. Avoid name clashes effectively.

- Tags: how-to-guide
- Published: 2026-02-27

### [How curryhoward Handles Case Classes and Sealed Traits for Code Generation](/chymyst/curryhoward/how-does-curryhoward-handle-case-classes-and-sealed-traits-for-code-generation)

Learn how CurryHoward leverages Scala reflection to generate code from case classes and sealed traits, translating them into algebraic types and emitting idiomatic Scala.

- Tags: how-to-guide
- Published: 2026-02-27

### [How to Inspect or Access Lambda‑Terms from Automatically Generated Code in curryhoward](/chymyst/curryhoward/how-can-i-inspect-or-access-lambda-terms-from-automatically-generated-code-in-curryhoward)

Learn to inspect or access lambda terms from Curryhoward generated code. Use the `.lambdaTerm` extension or `TermExpr.lambdaTerm` for symbolic representation.

- Tags: how-to-guide
- Published: 2026-02-27

### [How to Enable and Configure Debug Logging Using the curryhoward.log JVM Property](/chymyst/curryhoward/how-to-enable-and-configure-debug-logging-using-the-curryhoward-log-jvm-property)

Easily enable and configure debug logging for the CurryHoward library. Set the curryhoward.log JVM property with specific options like prover, trace, and macros for detailed output.

- Tags: how-to-guide
- Published: 2026-02-27

### [How Information Loss Heuristics Work in CurryHoward for Implementation Selection](/chymyst/curryhoward/how-do-information-loss-heuristics-work-in-curryhoward-for-implementation-selection)

Discover how CurryHoward ranks Scala implementations using its information loss score. Learn how to prefer proof terms that discard fewer arguments and minimize runtime permutations for better selection.

- Tags: deep-dive
- Published: 2026-02-27

### [How to Use `allOfType` to Find All Inequivalent Implementations with Minimal Information Loss in CurryHoward](/chymyst/curryhoward/how-to-use-alloftype-to-find-all-inequivalent-implementations-with-minimal-information-loss)

Discover how `allOfType` uncovers all distinct implementations of a type in CurryHoward. Filter out suboptimal variants and preserve unique solutions effortlessly.

- Tags: how-to-guide
- Published: 2026-02-27

### [Difference Between `implement` and `ofType` Macros in curryhoward: A Complete Guide](/chymyst/curryhoward/difference-between-implement-and-oftype-macros-in-curryhoward)

Uncover the difference between Curryhoward's implement and ofType macros. Learn how implement auto-detects types and ofType provides explicit control for theorem proving.

- Tags: deep-dive
- Published: 2026-02-27

### [How to Automatically Implement Scala Functions Using Type Signatures with Curry-Howard](/chymyst/curryhoward/how-to-automatically-implement-scala-functions-using-type-signatures-with-curry-howard)

Learn how to automatically implement Scala functions using type signatures with the Curry-Howard library. Effortlessly generate code from types at compile time.

- Tags: how-to-guide
- Published: 2026-02-27