$input1 = array(
  array(
    'context' => 'aa',
    'id' => 1,
    'view' => 1,
    'update' => 1,
  ),
  array(
    'context' => 'bb',
    'id' => 2,
    'view' => 0,
    'update' => 0,
  )
);
$input2 = array(
  array(
    'context' => 'cc',
    'id' => 3,
    'view' => 0,
    'update' => 1,
  ),
  array(
    'context' => 'dd',
    'id' => 4,
    'view' => 0,
    'update' => 0,
  ),
  array(
    'context' => 'ee',
    'id' => 5,
    'view' => 1,
    'update' => 0,
  )
);
$input3 = array(
  array(
    'context' => 'ff',
    'id' => 6,
    'view' => 1,
    'update' => 1,
  ),
  array(
    'context' => 'gg',
    'id' => 7,
    'view' => 1,
    'update' => 0,
  ),
);

$global = array($input1, $input2, $input3);

foreach ($global as $input) {
 // Do stuff here to generate the output array given below...
}

$output = array(
  'aa+1&cc+3&ff+6' => array('view' => 0, 'update' => 1),
  'aa+1&cc+3&gg+7' => array('view' => 0, 'update' => 0),
  'aa+1&dd+4&ff+6' => array('view' => 0, 'update' => 0),
  'aa+1&dd+4&gg+7' => array(...),
  'aa+1&ee+5&ff+6' => array(...),
  'aa+1&ee+5&gg+7' => array(...),
  'bb+2&cc+3&ff+6' => array(...),
  'bb+2&cc+3&gg+7' => array(...),
  'bb+2&dd+4&ff+6' => array(...),
  'bb+2&dd+4&gg+7' => array(...),
  'bb+2&ee+5&ff+6' => array(...),
  'bb+2&ee+5&gg+7' => array(...)
);