One-day Workshop at IJCAR'08

# One-Day Tutorial at IJCAR 2008

## Introduction to Nominal Isabelle

#### Tutorial by Stefan Berghofer and Christian Urban

Time and Location: 11th August at IJCAR 2008 in Sydney, Australia. Download and Installation: The tutorial will be hands-on. Please already have Nominal Isabelle installed before coming to the tutorial. If you have any problems, then do not hesitate to contact the organisers. The files you need during the tutorial are: Minimal.thy Lambda.thy CK_Machine.thy Slides To install Nominal Isabelle you need four packages: Polyml, Isabelle 2008, an emacs and Proof General: Download Installation Notes Make sure you download the HOL-Nominal heap file, instead of HOL. If you use MacOSX and not already use Xemacs, then the easiest method to get Isabelle running is to use Carbon Emacs and the latest version of Proof General. Ask us for details. Once you have Isabelle running make sure XSymbols are switched on and the HOL-Nominal heap is loaded. Overview: Dealing with binders, renaming of bound variables, capture-avoiding substitution, etc., is very often a major problem in formal proofs about the lambda-calculus and programming language theory. Nominal Isabelle provides an infrastructure for reasoning conveniently about bound variables and alpha-equivalence classes in the proof assistant Isabelle. The aim of this tutorial is to give participants a reading knowledge of nominal techniques and allow them to start using Nominal Isabelle in their own work. Programme: The tutorial will be organised around four sessions: 08:00 - 09:00 Help with the installation. If at all possible, already have Nominal Isabelle installed! See above for instructions. 09:00 - 10:00 Session I: basics, Substitution Lemma, Isar proof language 10:30 - 12:30 Session II: strong induction principles, contexts with holes, beta-reduction 14:00 - 15:30 Session III: variable convention, evaluation relation 16:00 - 17:30 Session IV: functions, permutations, support Target audience: Researchers and doctoral students who want to use Nominal Isabelle to formalise proofs from the lambda-calculus, from programming language theory or from proof theory, such as type soundness, Church Rosser, strong normalisation and so on. The tutorial is designed for people who have not necessarily used Isabelle or Nominal Isabelle before, nor have used any other proof assistant. If you have missed the recent Coq-workshop, this is your second chance for a tutorial about using a proof assistant. If you have have been there, the tutorial will demonstrate an alternative approach to writing POPL papers (see here for an example). Registration: IJCAR webpage (early registrations deadline: 10 July)

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