The search options available are defined through the <search> view type. We can choose the fields that can be automatically searched when typing in the search box. We can also provide predefined filters, activated with a click, and predefined grouping options to be used in list views.
Here is a possible search view for the To-Do Tasks:
<record id="view_filter_todo_task"
model="ir.ui.view">
<field name="model">todo.task</field>
<field name="priority">15</field>
<field name="arch" type="xml">
<search>
<field name="name"/>
<field name="user_id"/>
<filter name="filter_not_done" string="Not Done"
domain="[('is_done','=',False)]"/>
<filter name="filter_done" string="Done"
domain="[('is_done','!=',False)]"/>
<separator/>
<filter name="group_user" string="By User"
context="{'group_by': 'user_id'}"/>
</search...