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We present LISA, a proof system and proof assistant for constructing proofs in schematic first-order logic and axiomatic set theory. The logical kernel of the system is a proof checker for first-order logic with equality and schematic predicate and fun ...
Coenzyme Q (CoQ) is a redox-active lipid essential for core metabolic pathways and antioxidant defense. CoQ is synthesized upon the mitochondrial inner membrane by an ill-defined "complex Q" metabolon. Here, we present structure-function analyses of a lipi ...
Formal verification of real-world software systems remains challenging for a number of reasons, including lack of automation, friction in specifying properties, and limited support for the diverse programming paradigms used in industry. In this thesis we m ...
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 ...
Software network functions (NFs), such as a network address translator, load balancer, or proxy,
promise to bring flexibility and rapid innovation to computer networks and to reduce operational costs.
However, continuous updates and flexibility typically c ...
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 ...
It is notoriously hard to develop dependable distributed systems. This is partly due to the difficulties in foreseeing various corner cases and failure scenarios while implementing a system that will be deployed over an asynchronous network. In contrast, r ...
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 ...
Generalized algebraic data types (GADT) have been notoriously difficult to implement correctly in Scala. Both major Scala compilers, Scalac and Dotty, are currently known to have type soundness holes related to them. In particular, covariant GADTs have exp ...
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 ...