acl2-books-certs 6.3-5 / usr / share / acl2-6.3 / books / cutil / defprojection.cert

(IN-PACKAGE "ACL2")
"ACL2 Version 6.3"
:BEGIN-PORTCULLIS-CMDS
(INCLUDE-BOOK "portcullis")
:END-PORTCULLIS-CMDS
:EXPANSION-ALIST
((5 RECORD-EXPANSION (DEFXDOC CUTIL::DEFPROJECTION :PARENTS (CUTIL) :SHORT "Project a transformation across a list." :LONG "<p>Defprojection allows you to quickly introduce a function like
@('map f').  That is, given an element-transforming function, @('f'), it can
define a new function that applies @('f') to every element in a list.</p>

<p>General form:</p>

@({
 (defprojection name formals
   element
   &key guard                   ; t by default
        verify-guards           ; t by default
        nil-preservingp         ; nil by default
        result-type             ; nil by default
        already-definedp        ; nil by default
        mode                    ; current defun-mode by default
        optimize                ; t by default
        result-type             ; nil by default
        parents                 ; '(acl2::undocumented) by default
        short                   ; nil by default
        long                    ; nil by default
        parallelize             ; nil by default
        rest                    ; nil by default
        )
})

<p>For example,</p>

@({
 (defprojection my-strip-cars (x)
   (car x)
   :guard (alistp x))
})

<p>defines a new function, @('my-strip-cars'), that is like the built-in ACL2
function @('strip-cars').</p>

<p>Note that <b>x</b> is treated in a special way: it refers to the whole list
in the formals and guards, but refers to individual elements of the list in the
@('element') portion.  This is similar to how other macros like @(see deflist),
@(see defalist), and @(see defmapappend) handle @('x').</p>

<h3>Usage and Arguments</h3>

<p>Let @('pkg') be the package of @('name').  All functions, theorems, and
variables are created in this package.  One of the formals must be @('pkg::x'),
and this argument represents the list that will be transformed.  Otherwise, the
only restriction on formals is that you may not use the names @('pkg::a'),
@('pkg::n'), @('pkg::y'), and @('pkg::acc'), because we use these variables in
the theorems we generate.</p>

<p>The optional @(':guard') and @(':verify-guards') are given to the
@('defund') event that we introduce.  Often @(see deflist) is convenient for
introducing the necessary guard.</p>

<p>The optional @(':nil-preservingp') argument can be set to @('t') when the
element transformation satisfies @('(element nil ...) = nil').  This allows
@('defprojection') to produce slightly better theorems.</p>

<p>The optional @(':result-type') keyword defaults to @('nil'), and in this
case no additional \"type theorem\" will be inferred.  But, if you instead give
the name of a unary predicate like @('nat-listp'), then a defthm will be
generated that looks like @('(implies (force guard) (nat-listp (name ...)))')
while @('name') is still enabled.  This is not a very general mechanism, but it
is often good enough to save a lot of work.</p>

<p>The optional @(':rest') keyword can be used to stick in additional events
after the end of the projection.  These events will be submitted after
everything else, including the @(':result-type') theorem.  The theory will have
the projection function enabled.  This is a more general but less automatic
than @(':result-type'), i.e., you typically have to include full @(see defthm)s
here.</p>

<p>The optional @(':already-definedp') keyword can be set if you have already
defined the function.  This can be used to generate all of the ordinary
@('defprojection') theorems without generating a @('defund') event, and is
useful when you are dealing with mutually recursive transformations.</p>

<p>The optional @(':mode') keyword can be set to @(':logic') or @(':program')
to introduce the recognizer in logic or program mode.  The default is whatever
the current default defun-mode is for ACL2, i.e., if you are already in program
mode, it will default to program mode, etc.</p>

<p>The optional @(':optimize') keyword can be set to @('nil') if you do not
want the projection to be optimized with @('nreverse').  This will result in a
slightly slower transformation function, but avoids a ttag.</p>

<p>The optional @(':parents'), @(':short'), and @(':long') keywords are as in
@(see defxdoc).  Typically you only need to specify @(':parents'), and suitable
documentation will be automatically generated for @(':short') and @(':long').
If you don't like this documentation, you can supply your own @(':short')
and/or @(':long') to override it.</p>

<p>The optional @(':parallelize') keyword can be set to @('t') if you want to
try to speed up the execution of new function using parallelism.  This is
experimental and will only work with ACL2(p).  Note that we don't do anything
smart to split the work up into large chunks, and you lose tail-recursion when
you use this.</p>") (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . CUTIL::DEFPROJECTION) (:BASE-PKG . CUTIL::ACL2-PKG-WITNESS) (:PARENTS CUTIL) (:SHORT . "Project a transformation across a list.") (:LONG . "<p>Defprojection allows you to quickly introduce a function like
@('map f').  That is, given an element-transforming function, @('f'), it can
define a new function that applies @('f') to every element in a list.</p>

<p>General form:</p>

@({
 (defprojection name formals
   element
   &key guard                   ; t by default
        verify-guards           ; t by default
        nil-preservingp         ; nil by default
        result-type             ; nil by default
        already-definedp        ; nil by default
        mode                    ; current defun-mode by default
        optimize                ; t by default
        result-type             ; nil by default
        parents                 ; '(acl2::undocumented) by default
        short                   ; nil by default
        long                    ; nil by default
        parallelize             ; nil by default
        rest                    ; nil by default
        )
})

<p>For example,</p>

@({
 (defprojection my-strip-cars (x)
   (car x)
   :guard (alistp x))
})

<p>defines a new function, @('my-strip-cars'), that is like the built-in ACL2
function @('strip-cars').</p>

<p>Note that <b>x</b> is treated in a special way: it refers to the whole list
in the formals and guards, but refers to individual elements of the list in the
@('element') portion.  This is similar to how other macros like @(see deflist),
@(see defalist), and @(see defmapappend) handle @('x').</p>

<h3>Usage and Arguments</h3>

<p>Let @('pkg') be the package of @('name').  All functions, theorems, and
variables are created in this package.  One of the formals must be @('pkg::x'),
and this argument represents the list that will be transformed.  Otherwise, the
only restriction on formals is that you may not use the names @('pkg::a'),
@('pkg::n'), @('pkg::y'), and @('pkg::acc'), because we use these variables in
the theorems we generate.</p>

<p>The optional @(':guard') and @(':verify-guards') are given to the
@('defund') event that we introduce.  Often @(see deflist) is convenient for
introducing the necessary guard.</p>

<p>The optional @(':nil-preservingp') argument can be set to @('t') when the
element transformation satisfies @('(element nil ...) = nil').  This allows
@('defprojection') to produce slightly better theorems.</p>

<p>The optional @(':result-type') keyword defaults to @('nil'), and in this
case no additional \"type theorem\" will be inferred.  But, if you instead give
the name of a unary predicate like @('nat-listp'), then a defthm will be
generated that looks like @('(implies (force guard) (nat-listp (name ...)))')
while @('name') is still enabled.  This is not a very general mechanism, but it
is often good enough to save a lot of work.</p>

<p>The optional @(':rest') keyword can be used to stick in additional events
after the end of the projection.  These events will be submitted after
everything else, including the @(':result-type') theorem.  The theory will have
the projection function enabled.  This is a more general but less automatic
than @(':result-type'), i.e., you typically have to include full @(see defthm)s
here.</p>

<p>The optional @(':already-definedp') keyword can be set if you have already
defined the function.  This can be used to generate all of the ordinary
@('defprojection') theorems without generating a @('defund') event, and is
useful when you are dealing with mutually recursive transformations.</p>

<p>The optional @(':mode') keyword can be set to @(':logic') or @(':program')
to introduce the recognizer in logic or program mode.  The default is whatever
the current default defun-mode is for ACL2, i.e., if you are already in program
mode, it will default to program mode, etc.</p>

<p>The optional @(':optimize') keyword can be set to @('nil') if you do not
want the projection to be optimized with @('nreverse').  This will result in a
slightly slower transformation function, but avoids a ttag.</p>

<p>The optional @(':parents'), @(':short'), and @(':long') keywords are as in
@(see defxdoc).  Typically you only need to specify @(':parents'), and suitable
documentation will be automatically generated for @(':short') and @(':long').
If you don't like this documentation, you can supply your own @(':short')
and/or @(':long') to override it.</p>

<p>The optional @(':parallelize') keyword can be set to @('t') if you want to
try to speed up the execution of new function using parallelism.  This is
experimental and will only work with ACL2(p).  Note that we don't do anything
smart to split the work up into large chunks, and you lose tail-recursion when
you use this.</p>") (:FROM . "[books]/cutil/defprojection.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC CUTIL::DEFPROJECTION)))))))
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