Geometry of synthesis III: resource management through type inference

Abstract

Geometry of Synthesis is a technique for compiling higher-level programming languages into digital circuits via their game semantic model. Ghica (2007) first presented the key idea, then Ghica and Smith (2010) gave a provably correct compiler into asynchronous circuits for Syntactic Control of Interference (SCI), an affine-typed version of Reynolds's Idealized Algol. Affine typing has the dual benefits of ruling out race conditions through the type system and having a finite-state game-semantic model for any term, which leads to a natural circuit representation and simpler correctness proofs. In this paper we go beyond SCI to full Idealized Algol, enhanced with shared-memory concurrency and semaphores.