doc-src/TutorialI/Recdef/Nested0.thy
author wenzelm
Thu, 05 Aug 2010 14:35:35 +0200
changeset 38150 67fc24df3721
parent 16417 9bc16273c2d4
permissions -rw-r--r--
simplified/refined document model: collection of named nodes, without proper dependencies yet; moved basic type definitions for ids and edits from Isar_Document to Document; removed begin_document/end_document for now -- nodes emerge via edits; edits refer to named nodes explicitly;

(*<*)
theory Nested0 imports Main begin
(*>*)

text{*
\index{datatypes!nested}%
In \S\ref{sec:nested-datatype} we defined the datatype of terms
*}

datatype ('a,'b)"term" = Var 'a | App 'b "('a,'b)term list"

text{*\noindent
and closed with the observation that the associated schema for the definition
of primitive recursive functions leads to overly verbose definitions. Moreover,
if you have worked exercise~\ref{ex:trev-trev} you will have noticed that
you needed to declare essentially the same function as @{term"rev"}
and prove many standard properties of list reversal all over again. 
We will now show you how \isacommand{recdef} can simplify
definitions and proofs about nested recursive datatypes. As an example we
choose exercise~\ref{ex:trev-trev}:
*}

consts trev  :: "('a,'b)term \<Rightarrow> ('a,'b)term"
(*<*)end(*>*)