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<HTML><HEAD><TITLE>7.3 Standard Propagators</TITLE><LINK href="ozdoc.css" rel="stylesheet" type="text/css"></HEAD><BODY><TABLE align="center" border="0" cellpadding="6" cellspacing="6" class="nav"><TR bgcolor="#DDDDDD"><TD><A href="node35.html#section.fs.integers"><< Prev</A></TD><TD><A href="node33.html">- Up -</A></TD><TD><A href="node37.html#section.fs.vars">Next >></A></TD></TR></TABLE><DIV id="section.fs.standard"><H2><A name="section.fs.standard">7.3 Standard Propagators</A></H2><P></P><DL><DT><A name="label341"></A> <CODE>diff</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>diff $M1 $M2 $M3}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P><IMG alt="\codeinline{oz}{M3} = \codeinline{oz}{M1} \setminus \codeinline{oz}{M2}" src="latex126.png"> </P></DD><DT><A name="label343"></A> <CODE>intersect</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>intersect $M1 $M2 $M3}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P><IMG alt="\codeinline{oz}{M3} = \codeinline{oz}{M1} \cap \codeinline{oz}{M2}" src="latex127.png"> </P></DD><DT><A name="label345"></A> <CODE>intersectN</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>intersectN <SPAN class="keyword">*</SPAN>Mv <SPAN class="keyword">*</SPAN>M}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P><IMG alt="\codeinline{oz}{M} = \bigcap \{ \codeinline{oz}{M'} \mid \codeinline{oz}{M'} \in \codeinline{oz}{Mv}\}" src="latex128.png"> </P></DD><DT><A name="label347"></A> <CODE>union</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>union $M1 $M2 $M3}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P><IMG alt="\codeinline{oz}{M3} = \codeinline{oz}{M1} \cup \codeinline{oz}{M2}" src="latex129.png"> </P></DD><DT><A name="label349"></A> <CODE>unionN</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>unionN $Mv $M}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P><IMG alt="\codeinline{oz}{M} = \bigcup \{ \codeinline{oz}{S} \mid \codeinline{oz}{S} \in \codeinline{oz}{Mv}\}" src="latex130.png"> </P></DD><DT><A name="label351"></A> <CODE>subset</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>subset $M1 $M2}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P><IMG alt="\codeinline{oz}{M1} \subseteq \codeinline{oz}{M2}" src="latex131.png"> </P></DD><DT><A name="label353"></A> <CODE>disjoint</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>disjoint $M1 $M2}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P><IMG alt="\codeinline{oz}{M1} \| \codeinline{oz}{M2}" src="latex132.png"> </P></DD><DT><A name="label355"></A> <CODE>disjointN</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>disjointN <SPAN class="keyword">*</SPAN>Mv}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P>All elements of the vector <I>Mv</I> are pairwise disjoint. </P></DD><DT><A name="label357"></A> <CODE>distinct</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>distinct $M1 $M2}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P><IMG alt="\codeinline{oz}{M1} \neq \codeinline{oz}{M2}" src="latex133.png"> </P></DD><DT><A name="label359"></A> <CODE>distinctN</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>distinctN <SPAN class="keyword">*</SPAN>MV}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P>All elements of the vector <I>Mv</I> are pairwise distinct. </P></DD><DT><A name="label361"></A> <CODE>partition</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>partition $MV $M}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P><I>Mv</I> is a partition of <I>M</I>; that is, <I>Mv</I> contains pairwise disjoint sets such that their union yields <I>M</I>. </P></DD></DL><P></P></DIV><TABLE align="center" border="0" cellpadding="6" cellspacing="6" class="nav"><TR bgcolor="#DDDDDD"><TD><A href="node35.html#section.fs.integers"><< Prev</A></TD><TD><A href="node33.html">- Up -</A></TD><TD><A href="node37.html#section.fs.vars">Next >></A></TD></TR></TABLE><HR><ADDRESS><A href="http://www.ps.uni-sb.de/~duchier/">Denys Duchier</A>, <A href="http://www.ps.uni-sb.de/~kornstae/">Leif Kornstaedt</A>, <A href="http://www.ps.uni-sb.de/~homik/">Martin Homik</A>, <A href="http://www.ps.uni-sb.de/~tmueller/">Tobias Müller</A>, <A href="http://www.ps.uni-sb.de/~schulte/">Christian Schulte</A> and <A href="http://www.info.ucl.ac.be/~pvr">Peter Van Roy</A><BR><SPAN class="version">Version 1.4.0 (20110908185330)</SPAN></ADDRESS></BODY></HTML>
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