We introduce Jinja, a Java-like programming language with a formal semantics designed to exhibit core features of the Java language architecture. Jinja is a compromise between the realism of the language and the tractability and clarity of its formal semantics. The following aspects are formalised: a big and a small step operational semantics for Jinja and… (More)
This manual describes Isabelle's formalization of Higher-Order Logic, a poly-morphic version of Church's Simple Theory of Types. HOL can be best understood as a simply-typed version of classical set theory. The monograph Isabelle/HOL — A Proof Assistant for Higher-Order Logic provides a gentle introduction on using Isabelle/HOL in practice.
We study the type inference problem for a system with type classes as in the functional programming language Haskell. Type classes are an extension of ML-style polymorphism with overloading. We generalize Milner's work on polymorphism by introducing a separate context constraining the type variables in a typing judgement. This lead to simple type inference… (More)
Nitpick is a counterexample generator for Isabelle/HOL that builds on Kodkod, a SAT-based first-order relational model finder. Nitpick supports unbounded quantification, (co)inductive predicates and datatypes, and (co)recursive functions. Fundamentally a finite model finder, it approximates infinite types by finite subsets. As case studies, we consider a… (More)