doc-src/IsarImplementation/Thy/ML.thy
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(* $Id$ *)
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theory "ML" imports base begin
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chapter {* Aesthetics of ML programming *}
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text FIXME
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text {* This style guide is loosely based on
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  \url{http://caml.inria.fr/resources/doc/guides/guidelines.en.html}.
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%  FIMXE \url{http://www.cs.cornell.edu/Courses/cs312/2003sp/handouts/style.htm}
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  Like any style guide, it should not be interpreted dogmatically.
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  Instead, it forms a collection of recommendations which,
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  if obeyed, result in code that is not considered to be
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  obfuscated.  In certain cases, derivations are encouraged,
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  as far as you know what you are doing.
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  \begin{description}
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    \item[fundamental law of programming]
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      Whenever writing code, keep in mind: A program is
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      written once, modified ten times, and read
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      100 times.  So simplify its writing,
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      always keep future modifications in mind,
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      and never jeopardize readability.  Every second you hesitate
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      to spend on making your code more clear you will
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      have to spend ten times understanding what you have
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      written later on.
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    \item[white space matters]
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      Treat white space in your code as if it determines
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      the meaning of code.
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      \begin{itemize}
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        \item The space bar is the easiest key to find on the keyboard,
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          press it as often as necessary. {\ttfamily 2 + 2} is better
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          than {\ttfamily 2+2}, likewise {\ttfamily f (x, y)}
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          better than {\ttfamily f(x,y)}.
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        \item Restrict your lines to \emph{at most} 80 characters.
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          This will allow you to keep the beginning of a line
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          in view while watching its end.
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        \item Ban tabs; they are a context-sensitive formatting
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          feature and likely to confuse anyone not using your
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          favourite editor.
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        \item Get rid of trailing whitespace.  Instead, do not
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          surpess a trailing newline at the end of your files.
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        \item Choose a generally accepted style of indentation,
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          then use it systematically throughout the whole
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          application.  An indentation of two spaces is appropriate.
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          Avoid dangling indentation.
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      \end{itemize}
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    \item[cut-and-paste succeeds over copy-and-paste]
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      \emph{Never} copy-and-paste code when programming.  If you
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        need the same piece of code twice, introduce a
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        reasonable auxiliary function (if there is no
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        such function, very likely you got something wrong).
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        Any copy-and-paste will turn out to be painful 
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        when something has to be changed or fixed later on.
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    \item[comments]
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      are a device which requires careful thinking before using
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      it.  The best comment for your code should be the code itself.
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      Prefer efforts to write clear, understandable code
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      over efforts to explain nasty code.
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    \item[functional programming is based on functions]
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      Avoid ``constructivisms'', e.g. pass a table lookup function,
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      rather than an actual table with lookup in body.  Accustom
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      your way of codeing to the level of expressiveness
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      a functional programming language is giving onto you.
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    \item[tuples]
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      are often in the way.  When there is no striking argument
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      to tuple function arguments, just write your function curried.
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    \item[telling names]
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      Any name should tell its purpose as exactly as possible,
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      while keeping its length to the absolutely neccessary minimum.
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      Always give the same name to function arguments which
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      have the same meaning. Separate words by underscores
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      (``@{verbatim int_of_string}'', not ``@{verbatim intOfString}'')
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  \end{description}
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*}
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chapter {* Basic library functions *}
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text {*
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  Beyond the proposal of the SML/NJ basis library, Isabelle comes
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  with its own library, from which selected parts are given here.
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  See further files \emph{Pure/library.ML} and \emph{Pure/General/*.ML}.
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*}
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section {* Linear transformations *}
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text %mlref {*
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  \begin{mldecls}
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  @{index_ML "(op |>)": "'a * ('a -> 'b) -> 'b"} \\
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  @{index_ML fold: "('a -> 'b -> 'b) -> 'a list -> 'b -> 'b"} \\
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  @{index_ML fold_rev: "('a -> 'b -> 'b) -> 'a list -> 'b -> 'b"} \\
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  \end{mldecls}
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*}
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text FIXME
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text %mlref {*
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  \begin{mldecls}
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  @{index_ML "(op |->)": "('c * 'a) * ('c -> 'a -> 'b) -> 'b"} \\
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  @{index_ML "(op |>>)": "('a * 'c) * ('a -> 'b) -> 'b * 'c"} \\
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  @{index_ML "(op ||>)": "('c * 'a) * ('a -> 'b) -> 'c * 'b"} \\
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  @{index_ML "(op ||>>)": "('c * 'a) * ('a -> 'd * 'b) -> ('c * 'd) * 'b"} \\
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  @{index_ML fold_map: "('a -> 'b -> 'c * 'b) -> 'a list -> 'b -> 'c list * 'b"} \\
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  \end{mldecls}
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*}
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text %mlref {*
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  \begin{mldecls}
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  @{index_ML "(op #>)": "('a -> 'b) * ('b -> 'c) -> 'a -> 'c"} \\
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  @{index_ML "(op #->)": "('a -> 'c * 'b) * ('c -> 'b -> 'd) -> 'a -> 'd"} \\
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  @{index_ML "(op #>>)": "('a -> 'c * 'b) * ('c -> 'd) -> 'a -> 'd * 'b"} \\
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  @{index_ML "(op ##>)": "('a -> 'c * 'b) * ('b -> 'd) -> 'a -> 'c * 'd"} \\
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  @{index_ML "(op ##>>)": "('a -> 'c * 'b) * ('b -> 'e * 'd) -> 'a -> ('c * 'e) * 'd"} \\
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  \end{mldecls}
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*}
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text %mlref {*
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  \begin{mldecls}
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  @{index_ML "(op `)": "('b -> 'a) -> 'b -> 'a * 'b"} \\
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  @{index_ML tap: "('b -> 'a) -> 'b -> 'b"} \\
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  \end{mldecls}
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*}
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section {* Options and partiality *}
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text %mlref {*
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  \begin{mldecls}
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  @{index_ML is_some: "'a option -> bool"} \\
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  @{index_ML is_none: "'a option -> bool"} \\
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  @{index_ML the: "'a option -> 'a"} \\
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  @{index_ML these: "'a list option -> 'a list"} \\
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  @{index_ML the_list: "'a option -> 'a list"} \\
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  @{index_ML the_default: "'a -> 'a option -> 'a"} \\
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  @{index_ML try: "('a -> 'b) -> 'a -> 'b option"} \\
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  @{index_ML can: "('a -> 'b) -> 'a -> bool"} \\
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  \end{mldecls}
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*}
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text FIXME
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section {* Common data structures *}
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text "FIXME chronicle"
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subsection {* Lists (as set-like data structures) *}
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text {*
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  \begin{mldecls}
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  @{index_ML member: "('b * 'a -> bool) -> 'a list -> 'b -> bool"} \\
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  @{index_ML insert: "('a * 'a -> bool) -> 'a -> 'a list -> 'a list"} \\
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  @{index_ML remove: "('b * 'a -> bool) -> 'b -> 'a list -> 'a list"} \\
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  @{index_ML merge: "('a * 'a -> bool) -> 'a list * 'a list -> 'a list"} \\
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  \end{mldecls}
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*}
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text FIXME
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subsection {* Association lists *}
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text {*
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  \begin{mldecls}
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  @{index_ML_exc AList.DUP} \\
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  @{index_ML AList.lookup: "('a * 'b -> bool) -> ('b * 'c) list -> 'a -> 'c option"} \\
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  @{index_ML AList.defined: "('a * 'b -> bool) -> ('b * 'c) list -> 'a -> bool"} \\
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  @{index_ML AList.update: "('a * 'a -> bool) -> ('a * 'b) -> ('a * 'b) list -> ('a * 'b) list"} \\
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  @{index_ML AList.default: "('a * 'a -> bool) -> ('a * 'b) -> ('a * 'b) list -> ('a * 'b) list"} \\
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  @{index_ML AList.delete: "('a * 'b -> bool) -> 'a -> ('b * 'c) list -> ('b * 'c) list"} \\
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  @{index_ML AList.map_entry: "('a * 'b -> bool) -> 'a
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    -> ('c -> 'c) -> ('b * 'c) list -> ('b * 'c) list"} \\
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  @{index_ML AList.map_default: "('a * 'a -> bool) -> 'a * 'b -> ('b -> 'b)
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    -> ('a * 'b) list -> ('a * 'b) list"} \\
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  @{index_ML AList.join: "('a * 'a -> bool) -> ('a -> 'b * 'b -> 'b) (*exception DUP*)
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    -> ('a * 'b) list * ('a * 'b) list -> ('a * 'b) list (*exception AList.DUP*)"} \\
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  @{index_ML AList.merge: "('a * 'a -> bool) -> ('b * 'b -> bool)
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    -> ('a * 'b) list * ('a * 'b) list -> ('a * 'b) list (*exception AList.DUP*)"}
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  \end{mldecls}
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*}
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text FIXME
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subsection {* Tables *}
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text {*
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  \begin{mldecls}
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  @{index_ML_type Symtab.key} \\
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  @{index_ML_type "'a Symtab.table"} \\
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  @{index_ML_exc Symtab.DUP: Symtab.key} \\
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  @{index_ML_exc Symtab.DUPS: "Symtab.key list"} \\
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  @{index_ML_exc Symtab.SAME} \\
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  @{index_ML_exc Symtab.UNDEF: Symtab.key} \\
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  @{index_ML Symtab.empty: "'a Symtab.table"} \\
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  @{index_ML Symtab.dest: "'a Symtab.table -> (Symtab.key * 'a) list"} \\
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  @{index_ML Symtab.keys: "'a Symtab.table -> Symtab.key list"} \\
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  @{index_ML Symtab.lookup: "'a Symtab.table -> Symtab.key -> 'a option"} \\
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  @{index_ML Symtab.defined: "'a Symtab.table -> Symtab.key -> bool"} \\
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  @{index_ML Symtab.update: "(Symtab.key * 'a) -> 'a Symtab.table -> 'a Symtab.table"} \\
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  @{index_ML Symtab.default: "Symtab.key * 'a -> 'a Symtab.table -> 'a Symtab.table"} \\
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  @{index_ML Symtab.delete: "Symtab.key
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    -> 'a Symtab.table -> 'a Symtab.table (*exception Symtab.UNDEF*)"} \\
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  @{index_ML Symtab.map_entry: "Symtab.key -> ('a -> 'a)
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    -> 'a Symtab.table -> 'a Symtab.table"} \\
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  @{index_ML Symtab.map_default: "(Symtab.key * 'a) -> ('a -> 'a)
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    -> 'a Symtab.table -> 'a Symtab.table"} \\
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  @{index_ML Symtab.join: "(Symtab.key -> 'a * 'a -> 'a) (*exception Symtab.DUP/Symtab.SAME*)
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    -> 'a Symtab.table * 'a Symtab.table
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    -> 'a Symtab.table (*exception Symtab.DUPS*)"} \\
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  @{index_ML Symtab.merge: "('a * 'a -> bool)
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    -> 'a Symtab.table * 'a Symtab.table
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    -> 'a Symtab.table (*exception Symtab.DUPS*)"}
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  \end{mldecls}
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*}
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text FIXME
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chapter {* Cookbook *}
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section {* A method that depends on declarations in the context *}
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end