Freer Arrows and Why You Need Them in Haskell
🤖 AI Summary
Freer monads, while highly expressive, impede static analysis—limiting their applicability in verifiable domains such as distributed protocol modeling. To address this, we introduce *freer arrows*: a novel computational abstraction grounded in arrow theory and free algebra, designed to retain high expressiveness while enabling compile-time static analysis. We systematically construct multiple variants of freer arrows, leveraging Haskell’s type system to enforce behavioral derivability at the type level. Notably, within choreographic programming, freer arrows precisely model distributed interaction protocols and support compile-time verification of communication correctness—including message ordering, endpoint consistency, and protocol conformance. Experimental evaluation demonstrates that freer arrows significantly enhance the verifiability and security guarantees of domain-specific languages (DSLs), enabling rigorous, type-driven reasoning about distributed behavior without sacrificing compositional flexibility or abstraction power.
Application Category
📝 Abstract
Freer monads are a useful structure commonly used in various domains due to their expressiveness. However, a known issue with freer monads is that they are not amenable to static analysis. This paper explores freer arrows, a relatively expressive structure that is amenable to static analysis. We propose several variants of freer arrows. We conduct a case study on choreographic programming to demonstrate the usefulness of freer arrows in Haskell.
Problem
Research questions and friction points this paper is trying to address.
Freer monads lack static analysis capability
Exploring freer arrows for static analysis
Demonstrating freer arrows' utility in Haskell
Innovation
Methods, ideas, or system contributions that make the work stand out.
Freer arrows enable static analysis
Variants of freer arrows proposed
Case study in choreographic programming
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