Abstract
A synthesis procedure acts as a compiler for declarative specifications. It accepts a formula describing a relation between inputs and outputs, and generates a function implementing this relation. This paper presents the first synthesis procedures for 1) algebraic data types and 2) arrays. Our procedures are reductions that lift a synthesis procedure for the elements into synthesis procedures for containers storing these elements. We introduce a framework to describe synthesis procedures as systematic applications of inference rules. We show that, by interpreting both synthesis problems and programs as relations, we can derive and modularly prove widely applicable transformation rules, simplifying both the presentation and the correctness argument.
Swen Jacobs was supported in part by the European Commission through project DIAMOND (FP7-2009-IST-4-248613), the Austrian Science Fund (FWF) through the national research network RiSE (S11406), the Swiss NSF Grant 200021_132176, and COST Action IC0901. Philippe Suter was supported in part by the Swiss NSF Grant 200021_120433.
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Jacobs, S., Kuncak, V., Suter, P. (2013). Reductions for Synthesis Procedures. In: Giacobazzi, R., Berdine, J., Mastroeni, I. (eds) Verification, Model Checking, and Abstract Interpretation. VMCAI 2013. Lecture Notes in Computer Science, vol 7737. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35873-9_8
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