I have a Polymer element that uses <template is="dom-if"... to provide different HTML content depending on a condition.
Polymer dom-if has no else condition, so needs a negative if condition to simulate it. 
Something like this:
<link href="https://polygit.org/components/polymer/polymer.html" rel="import">
<dom-module id="test-thing">
  <template>
    <template is="dom-if" if="{{title}}" restamp>
      <b>[[title]]</b>
    </template>
    <template is="dom-if" if="{{!title}}" restamp>
      <i>no title</i>
    </template>
  </template>
  <script>
    Polymer({
      is: 'test-thing',
      properties: {
        title: String
      }
    });
  </script>
</dom-module>
<div>
  With negative condition:
  <test-thing></test-thing>
</div>
<div>
  With positive condition:
  <test-thing title="Has Title"></test-thing>
</div>Only that doesn't work - the negative condition never passes.
How should this be implemented?
You must use a default empty value for your title property:
  title:{type: String,value:''}
Like so:
<link href="https://polygit.org/components/polymer/polymer.html" rel="import">
<dom-module id="test-thing">
  <template>
    <template is="dom-if" if="{{title}}" restamp>
      <b>[[title]]</b>
    </template>
    <template is="dom-if" if="{{!title}}" restamp>
      <i>no title</i>
    </template>
  </template>
  <script>
    Polymer({
      is: 'test-thing',
      properties: {
        title: {type: String,value:''}
      }
    });
  </script>
</dom-module>
<div>
  With negative condition:
  <test-thing></test-thing>
</div>
<div>
  With positive condition:
  <test-thing title="Has Title"></test-thing>
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