Temporal and

{boolean,tbool} & {boolean,tbool}: tbool

SELECT tbool '[true@2012-01-03, true@2012-01-05)' &
  tbool '[false@2012-01-03, false@2012-01-05)';
-- "[f@2012-01-03, f@2012-01-05)"
SELECT tbool '[true@2012-01-03, true@2012-01-05)' &
  tbool '{[false@2012-01-03, false@2012-01-04),
  [true@2012-01-04, true@2012-01-05)}';
-- "{[f@2012-01-03, t@2012-01-04, t@2012-01-05)}"

Temporal or

{boolean,tbool} | {boolean,tbool}: tbool

SELECT tbool '[true@2012-01-03, true@2012-01-05)' |
  tbool '[false@2012-01-03, false@2012-01-05)';
-- "[t@2012-01-03, t@2012-01-05)"

Temporal not

~tbool: tbool

SELECT ~tbool '[true@2012-01-03, true@2012-01-05)';
-- "[f@2012-01-03, f@2012-01-05)"