Quotient for Assume-Guarantee Contracts.

We introduce a novel notion of quotient set for a pair of contracts and the operation of quotient for assume-guarantee contracts. The quotient set and its related operation can be used in any compositional methodology where design requirements are mapped into a set of components in a library. In particular, they can be used for the so called missing component problem, where the given components are not capable of discharging the obligations of the requirements. In this case, the quotient operation identifies the contract for a component that, if added to the original set, makes the resulting system fulfill the requirements.