Developing modern software typically involves composing functionality from existing libraries. This task is difficult because libraries may expose many methods to the developer. To help developers in such scenarios, we present a technique that synthesizes and suggests valid expressions of a given type at a given program point. As the basis of our technique we use type inhabitation for lambda calculus terms in long normal form. We introduce a succinct representation for type judgements that merges types into equivalence classes to reduce the search space, then reconstructs any desired number of solutions on demand. Furthermore, we introduce a method to rank solutions based on weights derived from a corpus of code. We implemented the algorithm and deployed it as a plugin for the Eclipse IDE for Scala. We show that the techniques we incorporated greatly increase the effectiveness of the approach. Our evaluation benchmarks are code examples from programming practice; we make them available for future comparisons.

We describe techniques for synthesis and verification of recursive functional programs over unbounded domains. Our techniques build on top of an algorithm for satisfiability modulo recursive functions, a framework for deductive synthesis, and complete synthesis procedures for algebraic data types. We present new counterexample-guided algorithms for constructing verified programs. We have implemented these algorithms in an integrated environment for interactive verification and synthesis from relational specifications. Our system was able to synthesize a number of useful recursive functions that manipulate unbounded numbers and data structures.

We present an efficient, modular, and feature-rich framework for automated generation and validation of complex structures, suitable for tasks that explore a large space of structured values. Our framework is capable of exhaustive, incremental, parallel, and memoized enumeration from not only finite but also infinite domains, while providing fine-grained control over the process. Furthermore, the framework efficiently supports the inverse of enumeration (checking whether a structure can be generated and fast-forwarding to this structure to continue the enumeration) and lazy enumeration (achieving exhaustive testing without generating all structures). The foundation of efficient enumeration lies in both direct access to encoded structures, achieved with well-known and new pairing functions, and dependent enumeration, which embeds constraints into the enumeration to avoid backtracking. Our framework defines an algebra of enumerators, with combinators for their composition that preserve exhaustiveness and efficiency. We have implemented our framework as a domain-specific language in Scala. Our experiments demonstrate better performance and shorter specifications by up to a few orders of magnitude compared to existing approaches.