The Languages of Isabelle: Isar, ML, and Scala

This lecture covers the languages of Isabelle, focusing on Isar, ML, and Scala. It starts with an overview of the Isabelle/Pure framework and the logical framework it provides. The lecture then delves into the Isabelle/Isar proof language, showcasing how Pure rules are transformed into proof schemes. Examples of Natural Deduction rules and proofs are presented, along with applications in inductive definitions and proofs. The lecture also discusses the LCF approach, the layers for Isabelle system programming, and the emerging interface architecture using Scala. It concludes with a language summary of Isabelle/Isar, Isabelle/ML, and Isabelle/Scala, highlighting their characteristics and efficiency.