Publication details

Saarland University Computer Science

Funktionale Berechnung in einem uniform nebenläufigen Kalkül mit logischen Variablen

Joachim Niehren

PhD Thesis, Universität des Saarlandes, Fachbereich Informatik, December 1994


-calculus, a model of uniformly concurrent computation. It integrates eager and lazy functional computation and describes the intended complexity behavior in both cases. , if result, termination and complexity are independent from the computation order. We establish theses properties for the -calculus by proving its uniform confluence. -calculus extends to models of concurrent computation providing for consumable resources and indeterminism. Such are the -calculus, a foundation of concurrent computation with constraints, and the pi-calculus, a successor of CCS based on channel communication. -calculus is a relational calculus with procedural abstraction and application. It provides for communication over logic variables and for suspension on their instantiation. Both mechanisms come naturally with parallel composition and declaration. We embed the eager and the lazy lambda-calculus into the -calculus. Using explicit references we guarantee that functional arguments are evaluated at most once. Explicit references are a special form of logic variables. These are needed too for representing lazy functional control. We prove the adequacy of the embedding of the eager lambda-calculus with respect to termination and complexity. We conjecture that the embedding of the lazy lambda-calculus preserves termination and improves complexity.

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