Science is concerned with understanding the universe in which we live, and logic is a purely abstract discipline concerned with understanding how to think.
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Yes, Logic is now considered a branch of Science not of Philosophy anymore. In the old days Logic is formerly a branch of Philosophy.
It is called "Logic".
Logic
I would say logic is a prerequisite for science. In other words science is specific application of logic, not something completely separate. Logic presents the next stage in the scientific process or thinking. So every logical thing can only be logical if its approved by a scientific method; (theory, hypothesis, e.t.c). One leads to another.
Science will use logic to make predictions and forecasts.