Functional Programs as Process Networks using Program-derived Combinators

For parallel implementations of functional programs without concurrent primitives, the λ-calculus encodings have been introduced. A functional program may be trans for med into a process network using process calculiby the λ-calculus encoding and there sult of a program can be obtained by a deal of communication actions in it's process network. But the λ-calculus encodings cause too many communication actions even in constant expressions. This paper shows the encoding for a combinator program without concurrency primitives which can combine the graph reduction and the process-net reduction using computable processes,'chores'. A 'chore' may have graph reduction functions for primitive operations of constants for which local graph reduction may be possible, and be encoded from a 'G-reducible' subexpression which is obtained by an annotation and trans for mati-on for a combinator program, assuring that it does not include any combinator application. Also, we show that a process network with chores raises less commu-nication actions than one without chores.