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Towards Improved GADT Reasoning in Scala

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Formalizing GADT constraint reasoning in Scala

Mario Bucev

Generalized algebraic data types (GADTs) are a powerful tool allowing to express invariants leveraging the type system. Scala 3 considerably improves the support of GADTs with respect to its predecessor Scala 2. A unique feature of Scala 3, compared to lan ...

2021

Virtual ADTs for Portable Metaprogramming

Martin Odersky, Nicolas Alexander Stucki

Scala 3 provides a metaprogramming interface that represents the abstract syntax tree definitions using algebraic data types. To allow the compiler to freely evolve without breaking the metaprogramming interface, we present virtual algebraic data types (or ...

ASSOC COMPUTING MACHINERY2021

Formal foundations for GADTs in Scala

GADTs are a very useful language feature that allow encoding some invariants in types. GADT reasoning is currently implemented in Scala and Dotty, but it’s plagued with soundness issues. To get a better understanding of GADTs in Scala, we explore how they ...

2020

Verified Functional Programming

Nicolas Charles Yves Voirol

In this thesis, we present Stainless, a verification system for an expressive subset of the Scala language. Our system is based on a dependently-typed language and an algorithmic type checking procedure which ensures total correctness. We rely on SMT solve ...

EPFL2019

Verification by Reduction to Functional Programs

Régis William Blanc

In this thesis, we explore techniques for the development and verification of programs in a high-level, expressive, and safe programming language. Our programs can express problems over unbounded domains and over recursive and mutable data structures. We p ...

EPFL2017

A Generic Algorithm for Checking Exhaustivity of Pattern Matching

Fengyun Liu

Algebraic data types and pattern matching are key features of functional programming languages. Exhaustivity checking of pattern matching is a safety belt that defends against unmatched exceptions at runtime and boosts type safety. However, the presence of ...

Assoc Computing Machinery2016

A generic algorithm for checking exhaustivity of pattern matching

Fengyun Liu

2016

On Counter-Example Complete Verification for Higher-Order Functions

Viktor Kuncak, Etienne Kneuss, Nicolas Charles Yves Voirol

We present a verification procedure for pure higher-order functional Scala programs with parametric types. We show that our procedure is sound for proofs, as well as sound and complete for counter-examples. The procedure reduces the analysis of higher-orde ...

2015

Synthesis Modulo Recursive Functions

Viktor Kuncak, Etienne Kneuss, Ivan Kuraj, Philippe Paul Henri Suter

We describe techniques for synthesis and verification of recursive functional programs over unbounded domains. Our techniques build on top of an algorithm for satisfiability modulo recursive functions, a framework for deductive synthesis, and complete synt ...

2013

On Integrating Deductive Synthesis and Verification Systems

Viktor Kuncak, Etienne Kneuss, Ivan Kuraj, Philippe Paul Henri Suter

2013