1.1 --- a/doc-src/Logics/Old_HOL.tex Mon Oct 10 18:09:58 1994 +0100
1.2 +++ b/doc-src/Logics/Old_HOL.tex Wed Oct 12 09:20:17 1994 +0100
1.3 @@ -1223,21 +1223,6 @@
1.4 variable~$xs$ in subgoal~$i$.
1.5
1.6
1.7 -\subsection{The type constructor for lazy lists, {\tt llist}}
1.8 -\index{*llist type}
1.9 -
1.10 -The definition of lazy lists demonstrates methods for handling infinite
1.11 -data structures and coinduction in higher-order logic. Theory
1.12 -\thydx{LList} defines an operator for corecursion on lazy lists, which is
1.13 -used to define a few simple functions such as map and append. Corecursion
1.14 -cannot easily define operations such as filter, which can compute
1.15 -indefinitely before yielding the next element (if any!) of the lazy list.
1.16 -A coinduction principle is defined for proving equations on lazy lists.
1.17 -
1.18 -I have written a paper discussing the treatment of lazy lists; it also
1.19 -covers finite lists~\cite{paulson-coind}.
1.20 -
1.21 -
1.22 \section{Datatype declarations}
1.23 \index{*datatype|(}
1.24
1.25 @@ -1745,7 +1730,7 @@
1.26 \end{ttbox}
1.27 The HOL distribution contains many other inductive definitions, such as the
1.28 theory {\tt HOL/ex/PropLog.thy} and the directory {\tt HOL/IMP}. The
1.29 -theory {\tt HOL/LList.thy} contains coinductive definitions.
1.30 +theory {\tt HOL/ex/LList.thy} contains coinductive definitions.
1.31
1.32 \index{*coinductive|)} \index{*inductive|)} \underscoreoff
1.33
1.34 @@ -1784,6 +1769,15 @@
1.35 \item Theories {\tt InSort} and {\tt Qsort} prove correctness properties of
1.36 insertion sort and quick sort.
1.37
1.38 +\item The definition of lazy lists demonstrates methods for handling
1.39 + infinite data structures and coinduction in higher-order
1.40 + logic~\cite{paulson-coind}. Theory \thydx{LList} defines an operator for
1.41 + corecursion on lazy lists, which is used to define a few simple functions
1.42 + such as map and append. Corecursion cannot easily define operations such
1.43 + as filter, which can compute indefinitely before yielding the next
1.44 + element (if any!) of the lazy list. A coinduction principle is defined
1.45 + for proving equations on lazy lists.
1.46 +
1.47 \item Theory {\tt PropLog} proves the soundness and completeness of
1.48 classical propositional logic, given a truth table semantics. The only
1.49 connective is $\imp$. A Hilbert-style axiom system is specified, and its