<xsl:apply-templates select='exsl:node-set($SYNTH)'>
      <xsl:with-param name='P' select="'V'"/>

this applies parameters to the root node but you haven't defined a
template matching "/" so the default one will fire, which doesn't pass
on the param.

You want

 <xsl:apply-templates select='exsl:node-set($SYNTH)/*'>
      <xsl:with-param name='P' select="'V'"/>

so then the BAR template will see the param.

David

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