  B\"{u}chi and Owen studied algebraic structures called hoops. Hoops provide a
natural algebraic semantics for a class of substructural logics that we think
of as intuitionistic analogues of the widely studied {\L}ukasiewicz logics. Ben
Yaacov extended {\L}ukasiewicz logic to get what is called continuous logic by
adding a halving operator. In this paper, we define the notion of continuous
hoop, or coop for short, and show that coops provide a natural algebraic
semantics for continuous logic. We characterise the simple and subdirectly
irreducible coops and investigate the decision problem for various theories of
coops. In passing, we give a new proof that hoops form a variety by giving an
algorithm that converts a proof in intuitionistic {\L}ukaseiwicz logic into a
chain of equations.
