doc-src/Logics/document/preface.tex

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+\chapter*{Preface}
+Several logics come with Isabelle.  Many of them are sufficiently developed
+to serve as comfortable reasoning environments.  They are also good
+starting points for defining new logics.  Each logic is distributed with
+sample proofs, some of which are described in this document.
+
+\texttt{HOL} is currently the best developed Isabelle object-logic, including
+an extensive library of (concrete) mathematics, and various packages for
+advanced definitional concepts (like (co-)inductive sets and types,
+well-founded recursion etc.). The distribution also includes some large
+applications.  See the separate manual \emph{Isabelle's Logics: HOL}.  There
+is also a comprehensive tutorial on Isabelle/HOL available.
+
+\texttt{ZF} provides another starting point for applications, with a slightly
+less developed library than \texttt{HOL}.  \texttt{ZF}'s definitional packages
+are similar to those of \texttt{HOL}. Untyped \texttt{ZF} set theory provides
+more advanced constructions for sets than simply-typed \texttt{HOL}.
+\texttt{ZF} is built on \texttt{FOL} (first-order logic), both are described
+in a separate manual \emph{Isabelle's Logics: FOL and ZF}~\cite{isabelle-ZF}.
+
+\medskip There are some further logics distributed with Isabelle:
+\begin{ttdescription}
+\item[\thydx{CCL}] is Martin Coen's Classical Computational Logic,
+  which is the basis of a preliminary method for deriving programs from
+  proofs~\cite{coen92}.  It is built upon classical~FOL.
+ 
+\item[\thydx{LCF}] is a version of Scott's Logic for Computable
+  Functions, which is also implemented by the~{\sc lcf}
+  system~\cite{paulson87}.  It is built upon classical~FOL.
+  
+\item[\thydx{HOLCF}] is a version of {\sc lcf}, defined as an extension of
+  \texttt{HOL}\@. See \cite{MuellerNvOS99} for more details on \texttt{HOLCF}.
+ 
+\item[\thydx{CTT}] is a version of Martin-L\"of's Constructive Type
+Theory~\cite{nordstrom90}, with extensional equality.  Universes are not
+included.
+
+\item[\thydx{Cube}] is Barendregt's $\lambda$-cube.
+ \end{ttdescription}
+
+The directory \texttt{Sequents} contains several logics based
+  upon the sequent calculus.  Sequents have the form $A@1,\ldots,A@m\turn
+B@1,\ldots,B@n$; rules are applied using associative matching.
+\begin{ttdescription}
+\item[\thydx{LK}] is classical first-order logic as a sequent calculus.
+
+\item[\thydx{Modal}] implements the modal logics $T$, $S4$, and~$S43$.  
+
+\item[\thydx{ILL}] implements intuitionistic linear logic.
+\end{ttdescription}
+
+The logics \texttt{CCL}, \texttt{LCF}, \texttt{Modal}, \texttt{ILL} and {\tt
+  Cube} are undocumented.  All object-logics' sources are distributed with
+Isabelle (see the directory \texttt{src}).  They are also available for
+browsing on the WWW at
+
+\begin{center}\small
+  \begin{tabular}{l}
+    \url{http://www.cl.cam.ac.uk/Research/HVG/Isabelle/library/} \\
+    \url{http://isabelle.in.tum.de/library/} \\
+  \end{tabular}
+\end{center}
+
+Note that this is not necessarily consistent with your local sources!
+
+\medskip Do not read the \emph{Isabelle's Logics} manuals before reading
+\emph{Isabelle/HOL --- The Tutorial} or \emph{Introduction to Isabelle}, and
+performing some Isabelle proofs.  Consult the {\em Reference Manual} for more
+information on tactics, packages, etc.
+
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "logics"
+%%% End: