diff -r 5652018b809a -r 07b13770c4d6 doc-src/TutorialI/fp.tex --- a/doc-src/TutorialI/fp.tex Tue Feb 20 10:18:26 2001 +0100 +++ b/doc-src/TutorialI/fp.tex Tue Feb 20 10:37:12 2001 +0100 @@ -297,7 +297,7 @@ Simplification is one of the central theorem proving tools in Isabelle and many other systems. The tool itself is called the \bfindex{simplifier}. The -purpose of this section is introduce the many features of the simplifier. +purpose of this section is to introduce the many features of the simplifier. Anybody intending to perform proofs in HOL should read this section. Later on ({\S}\ref{sec:simplification-II}) we explain some more advanced features and a little bit of how the simplifier works. The serious student should read that @@ -466,7 +466,7 @@ defined by means of \isacommand{recdef}: you can use full pattern-matching, recursion need not involve datatypes, and termination is proved by showing that the arguments of all recursive calls are smaller in a suitable (user -supplied) sense. In this section we ristrict ourselves to measure functions; +supplied) sense. In this section we restrict ourselves to measure functions; more advanced termination proofs are discussed in {\S}\ref{sec:beyond-measure}. \subsection{Defining Recursive Functions}