Cooper’s storage technique for scoping in situ operators has been employed in theoretical and computational grammars of natural language (NL) for over thirty years, but has been widely viewed as ad hoc and unprincipled. Recent work by Pollard within the framework of convergent grammar (CVG) took a step in the direction of clarifying the logical status of Cooper storage by encoding its rules within an explicit but nonstandard natural deduction (ND) format. Here we provide further clarification by showing how to encode a CVG with storage within a logical grammar framework—abstract categorial grammar (ACG)—that utilizes no logical resources beyond those of standard linear deduction.