We describe ongoing work on a framework for automatic composition synthesis from a repository of software components. This work is based on combinatory logic with intersection types. The idea is that components are modeled as typed combinators, and an algorithm for inhabitation -is there a combinatory term e with type τ relative to an environment Γ? -can be used to synthesize compositions. Here, Γ represents the repository in the form of typed combinators, τ specifies the synthesis goal, and e is the synthesized program. We illustrate our approach by examples, including an application to synthesis from GUI-components.
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