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<h4>General Information</h4>

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<tr valign=top><td><img src="gifs/gelbekugel.gif" WIDTH=7 HEIGHT=7 ALT=" o"> </td><td><a href="index.html">Eli: Translator Construction Made Easy</a></td></tr>
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<tr valign=top><td><img src="gifs/gelbekugel.gif" WIDTH=7 HEIGHT=7 ALT=" o"> </td><td><a href="typetutorial_toc.html">Tutorial on Type Analysis</a></td></tr>
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<h4>Reference Manuals</h4>

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<h4>Libraries</h4>

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<h4>Translation Tasks</h4>

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<tr valign=top><td><img src="gifs/gelbekugel.gif" WIDTH=7 HEIGHT=7 ALT=" o"> </td><td><a href="comptrees_toc.html">Computation in Trees</a></td></tr>
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<h4>Tools</h4>

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<h4>Administration</h4>

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<H1>Type analysis tasks</H1>
<A NAME="IDX2"></A>
<A NAME="IDX1"></A>
<P>
In programming languages types are used to classify entities the
program operates on.
A type describes a set of values and the operations that can
be applied to them. Program constructs that denote entities are
said to have a type which restricts the set of values the construct
may yield when it is evaluated. Program constructs that denote
operations may restrict the types of the operands they are applied to.
The meaning of an operation may be determined by the types of the operands.
Type analysis determines the type of program constructs and of defined
objects, it distinguishes overloaded operators using type information,
and checks consistency with
language rules on types. The result of the type analysis task is
a precondition for the transformation of data objects and operations
into a target language.
<P>
In languages other than programming languages we often find similar
concepts that need to solve a type analysis task for implementing
that language.
<P>
The section (See  <A HREF="type_1.html#SEC1">Basic Type Analysis</A>) describes a module that provides
a set of computational roles for language construct that define
and use typed objects, that denote types, define and use names for them.
The section (See  <A HREF="type_2.html#SEC3">Properties of Types</A>) gives examples how to use the <CODE>BasicType</CODE>
module for languages having user defined types (e.g. <CODE>array</CODE> types).
The section (See  <A HREF="type_3.html#SEC8">Operator Identification</A>) describes a module that supports
specification and use of overloaded operators. This module fits
to the <CODE>BasicType</CODE> module, but it does not require to use it.
The module (See  <A HREF="type_4.html#SEC9">Deferred Property Association</A>) provides computations that relate keys
to each other which have the same properties associated.
It is used if different identifiers shall conceptually refer
to one object. The <CODE>BasicType</CODE> is based on the <CODE>Defer</CODE>
module.
<A NAME="IDX3"></A>
<P>
The modules of this library are based on the following implementation
strategy: 
Types are represented by <CODE>DefTableKey</CODE>s. Hence, properties
can be associated to a type to further characterize the type, as
described in (See  <A HREF="type_2.html#SEC3">Properties of Types</A>).
<CODE>NoKey</CODE> is used to represent the unknown type.
The specified language may allow to define type identifiers.
Their keys are related to the keys representing their types.
The property <CODE>TypeOf</CODE> associates the type of an object to its key.
<P>
Attributes named <CODE>Type</CODE> are associated to symbols describing the type 
of a program construct.
<A NAME="IDX4"></A>
<A NAME="IDX5"></A>
<A NAME="IDX6"></A>
<P>
A complete executable specification of our running example for the type
analysis task
can be obtained by calling Eli and
requesting
<P>
<PRE>
   $elipkg/Type/Examples &#62; .
</PRE>
<P>
This request creates a subdirectory <CODE>Examples</CODE> in your
current working directory containing the example specification
<CODE>Type.fw</CODE>, test input files, and an Odinfile for automatic regression testing.
<P>
<P>
<UL>
<LI><A NAME="SEC1" HREF="type_1.html#SEC1">Basic Type Analysis</A>
<UL>
<LI><A NAME="SEC2" HREF="type_1.html#SEC2">Example for Basic Type Analysis</A>
</UL>
<LI><A NAME="SEC3" HREF="type_2.html#SEC3">Properties of Types</A>
<UL>
<LI><A NAME="SEC4" HREF="type_2.html#SEC4">Array Types</A>
<LI><A NAME="SEC5" HREF="type_2.html#SEC5">Pointer Types</A>
<LI><A NAME="SEC6" HREF="type_2.html#SEC6">Function Types</A>
<LI><A NAME="SEC7" HREF="type_2.html#SEC7">Types Having Scope Properties</A>
</UL>
<LI><A NAME="SEC8" HREF="type_3.html#SEC8">Operator Identification</A>
<LI><A NAME="SEC9" HREF="type_4.html#SEC9">Deferred Property Association</A>
<LI><A NAME="SEC10" HREF="type_5.html#SEC10">Index</A>
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