Type-Driven Program Synthesis

Modern programming languages safeguard developers from many typical errors, yet more subtle errors—such as violations of security policies—still plague software. Program synthesis has the potential to eliminate such errors, by generating executable code from concise and intuitive high-level specifications. Traditionally, program synthesis failed to scale to specifications that encode complex behavioral properties of software: these properties are notoriously hard to check even for a given program, and so it’s not surprising that finding the right program within a large space of candidates has been considered very challenging. My work tackles this challenge through the design of synthesis-friendly program verification mechanisms, which are able to check a large set of candidate programs against a complex specification at once, whereby efficiently pruning the search space. Based on this principle, I developed Synquid, a program synthesizer that accepts specifications in the form of expressive types and uses a specialized type checker as its underlying verification mechanism. Synquid is the first synthesizer powerful enough to automatically discover provably correct implementations of complex data structure manipulations, such as insertion into Red-Black Trees and AVL Trees, and normal-form transformations on propositional formulas. Each of these programs is synthesized in under a minute. Going beyond textbook algorithms, I created a language called Lifty, which uses type-driven synthesis to automatically rewrite programs that violate information flow policies. In our case study, Lifty was able to enforce all required policies in a prototype conference management system.