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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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...