<?xml version="1.0"?> <?xml-stylesheet type="text/xsl" href="../../xml/xtcHTML.xsl"?> <problem xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="../../xml/xtc.xsd" type="termination"> <trs> <rules> <rule> <lhs> <funapp> <name>foldl</name> <arg> <var>F</var> </arg> <arg> <var>x</var> </arg> <arg> <funapp> <name>nil</name> </funapp> </arg> </funapp> </lhs> <rhs> <var>x</var> </rhs> </rule> <rule> <lhs> <funapp> <name>foldl</name> <arg> <var>F</var> </arg> <arg> <var>x</var> </arg> <arg> <funapp> <name>cons</name> <arg> <var>y</var> </arg> <arg> <var>l</var> </arg> </funapp> </arg> </funapp> </lhs> <rhs> <funapp> <name>foldl</name> <arg> <var>F</var> </arg> <arg> <application> <application> <var>F</var> <var>x</var> </application> <var>y</var> </application> </arg> <arg> <var>l</var> </arg> </funapp> </rhs> </rule> <rule> <lhs> <funapp> <name>plusc</name> </funapp> </lhs> <rhs> <lambda> <var>x</var> <type> <basic>nat</basic> </type> <lambda> <var>y</var> <type> <basic>nat</basic> </type> <funapp> <name>plus</name> <arg> <var>x</var> </arg> <arg> <var>y</var> </arg> </funapp> </lambda> </lambda> </rhs> </rule>
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