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<H1 ALIGN="center"><FONT SIZE="4"></FONT>
                    lil-gp  1.0  User's  Manual<BR>

</H1>
<P ALIGN="center">
      Douglas Zongker                          Dr.  Bill
Punch
</P>
<P ALIGN="center">
 Michigan State University                Michigan State
University
</P>
<P ALIGN="center">
  zongker@isl.cps.msu.edu                   punch@isl.cps.msu.edu
<BR>

</P>
<P ALIGN="center">
                            11 July 1995<BR>

</P>
<P>
Copyright (c) 1995 Michigan State University.<BR>

</P>
<P>
This program is free software; you can redistribute it and/or
modify it under the terms of version 2 of the GNU General Public
License as published by the Free Software Foundation.<BR>

</P>
<P>
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
General Public License for more details.<BR>

</P>
<P>
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software Foundation,
Inc., 675 Mass Ave, Cambridge, MA 02139, USA.<BR>
<BR>
<BR>

</P>
<P>
<B><FONT SIZE="5">Contents<BR>
</FONT></B>
</P>
<P>
<B><A HREF="lil-gp.ch1.htm">1    Introduction</A></B>
</P>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch1.htm#1.1">1.1    Features
</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch1.htm#1.2">1.2    Kernel</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch1.htm#1.3">1.3    Specification of Problems
</A></BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch1.htm#1.4">1.4    Multiple Populations</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch1.htm#1.5">1.5    Availability</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch1.htm#1.6">1.6    Author</A><BR>

</BLOCKQUOTE>
<P>
<B><A HREF="lil-gp.ch2.htm">2    Background</A></B>
</P>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch2.htm#2.1">2.1    Introduction</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch2.htm#2.2">2.2    Defining an Application
</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
            <A HREF="lil-gp.ch2.htm#2.2.1">2.2.1     Closure
</A></BLOCKQUOTE>
<BLOCKQUOTE>
            <A HREF="lil-gp.ch2.htm#2.2.2">2.2.2     Examples</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch2.htm#2.3">2.3    Size of Individuals</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch2.htm#2.4">2.4    Fitness</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch2.htm#2.5">2.5    Population Initialization</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch2.htm#2.6">2.6    Selection</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
    <A HREF="lil-gp.ch2.htm#2.7">2.7    Operators</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
<TABLE BORDER="0" ALIGN="DEFAULT" WIDTH="50%">
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="5%"></TD>
<TD ALIGN="LEFT" VALIGN="TOP"> <A HREF="lil-gp.ch2.htm#2.7.1">2.7.1 Crossover</A></TD>
</TR>
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="5%"></TD>
<TD ALIGN="LEFT" VALIGN="TOP"><A HREF="lil-gp.ch2.htm#2.7.2">2.7.2     Reproduction</A></TD>
</TR>
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD ALIGN="LEFT" VALIGN="TOP"><A HREF="lil-gp.ch2.htm#2.7.3">2.7.3     Mutation</A></TD>
</TR>
</TABLE>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch2.htm#2.8">2.8    Automatically Defined Functions (ADFs)
</A></BLOCKQUOTE>
<BLOCKQUOTE>
            <A HREF="lil-gp.ch2.htm#2.8.1">2.8.1     ADFs in lil-gp</A><BR>

</BLOCKQUOTE>
<P>
<B><A HREF="lil-gp.ch3.htm">3    Compiling lil-gp</A></B>
</P>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch3.htm#3.1">3.1    Preparing the kernel
</A></BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch3.htm#3.2">3.2    Building the Sample Problems</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch3.htm#3.3">3.3    Running the Sample Problems
</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
<TABLE BORDER="0" ALIGN="DEFAULT" WIDTH="75%">
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD ALIGN="LEFT" VALIGN="TOP"><A HREF="lil-gp.ch3.htm#3.3.1">3.3.1     Symbolic Regression
</A></TD>
</TR>
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD ALIGN="LEFT" VALIGN="TOP"><A HREF="lil-gp.ch3.htm#3.3.2">3.3.2     Artificial Ant</A>
</TD>
</TR>
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD ALIGN="LEFT" VALIGN="TOP"><A HREF="lil-gp.ch3.htm#3.3.3">3.3.3     Boolean 11-Multiplexer
</A></TD>
</TR>
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD ALIGN="LEFT" VALIGN="TOP"><A HREF="lil-gp.ch3.htm#3.3.4">3.3.4     Two-boxes</A>
</TD>
</TR>
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD ALIGN="LEFT" VALIGN="TOP"><A HREF="lil-gp.ch3.htm#3.3.5">3.3.5     Lawnmower</A>
</TD>
</TR>
</TABLE>
</BLOCKQUOTE>

<BLOCKQUOTE>
     <A HREF="lil-gp.ch3.htm#3.4">3.4    Compiling Without the Makefile</A><BR>

</BLOCKQUOTE>
<P>
<B><A HREF="lil-gp.ch4.htm">4    Running lil-gp</A></B>
</P>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch4.htm#4.1">4.1    Invoking lil-gp</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
            <A HREF="lil-gp.ch4.htm#4.1.1">4.1.1     Parameter Files</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch4.htm#4.2">4.2    Output Files</A><BR>

</BLOCKQUOTE>
<P>
<B><A HREF="lil-gp.ch5.htm">5    Parameters</A></B>
</P>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch5.htm#5.1">5.1    General
</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch5.htm#5.2">5.2    Output</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch5.htm#5.3">5.3    Size Limits
</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch5.htm#5.4">5.4    Initialization</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch5.htm#5.5">5.5    Selection Methods</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch5.htm#5.6">5.6    Breeding</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch5.htm#5.7">5.7    Operators</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch5.htm#5.8">5.8    Multiple Populations</A><BR>

</BLOCKQUOTE>
<P>
<B><A HREF="lil-gp.ch6.htm">6    Implementing Problems</A></B>
</P>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch6.htm#6.1">6.1    Basic Definitions</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch6.htm#6.2">6.2    Functions and Terminals</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
<TABLE BORDER="0" ALIGN="DEFAULT" WIDTH="100%">
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD ALIGN="LEFT" VALIGN="TOP"><A HREF="#6.2.1">6.2.1     Ephemeral Random Constants</A>
</TD>
</TR>
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD ALIGN="LEFT" VALIGN="TOP"><A HREF="lil-gp.ch6.htm#6.2.2">6.2.2     Evaluation and Argument Functions</A></TD>
</TR>
</TABLE>
</BLOCKQUOTE>

<BLOCKQUOTE>
     <A HREF="lil-gp.ch6.htm#6.3">6.3    User Callbacks</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
<TABLE BORDER="0" ALIGN="DEFAULT" WIDTH="100%">
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD ALIGN="LEFT" VALIGN="TOP"><A HREF="lil-gp.ch6.htm#6.3.1">6.3.1     Defining the Function Set(s)</A>
</TD>
</TR>
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD ALIGN="LEFT" VALIGN="TOP"><A HREF="lil-gp.ch6.htm#6.3.2">6.3.2 Fitness Evaluation Function</A></TD>
</TR>
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD><A HREF="lil-gp.ch6.htm#6.3.3">6.3.3     Custom Output</A>
</TD>
</TR>
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD><A HREF="lil-gp.ch6.htm#6.3.4">6.3.4     Application Initialization</A>
</TD>
</TR>
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD><A HREF="lil-gp.ch6.htm#6.3.5">6.3.5     Output Streams</A>
</TD>
</TR>
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD><A HREF="lil-gp.ch6.htm#6.3.6">6.3.6     Checkpoint Files</A></TD>
</TR>
</TABLE>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch6.htm#6.4">6.4    Order of Processing</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch6.htm#6.5">6.5    Kernel Considerations</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
            <A HREF="lil-gp.ch6.htm#6.5.1">6.5.1     Memory Allocation</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
            <A HREF="lil-gp.ch6.htm#6.5.2">6.5.2     Using Parameters</A><BR>

</BLOCKQUOTE>
<P>
<B><A HREF="lil-gp.ch7.htm">7    Extending the Kernel</A></B>
</P>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch7.htm#7.1">7.1    Tree Representation</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch7.htm#7.2">7.2    Selection Methods</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch7.htm#7.3">7.3    Operators</A>
</BLOCKQUOTE>
<BLOCKQUOTE>
     <A HREF="lil-gp.ch7.htm#7.4">7.4    Miscellany</A></BLOCKQUOTE>
<BLOCKQUOTE>
<TABLE BORDER="0" ALIGN="DEFAULT" WIDTH="100%">
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD ALIGN="LEFT" VALIGN="TOP"><A HREF="lil-gp.ch7.htm#7.4.1">7.4.1     Tree Generation Spaces</A>
</TD>
</TR>
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD ALIGN="LEFT" VALIGN="TOP"><A HREF="lil-gp.ch7.htm#7.4.2">7.4.2     Saved Individuals</A>
</TD>
</TR>
<TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH="10%"></TD>
<TD><A HREF="lil-gp.ch7.htm#7.4.3">7.4.3     Ephemeral Random Constants</A></TD>
</TR>



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