By Philip John Koopman Jr.
This booklet combines structure with implementation options for complex programming languages
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Additional info for An Architecture for Combinator Graph Reduction
1 describes the abstract machine and its assem bly language. 2 describes the mapping of the TIGRE abstract machine onto different hardware platforms, including assembly language implementations for the VAX and the MIPS R2000 architectures. 3 describes the implementation of the core Turner Set combinators in TIGRE assembly language. 4 describes minimum TIGRE software support requirements. 1. THE TIGRE ABSTRACT MACHINE TIGRE is defined as an abstract machine having its own assembly langu age. This abstract machine has an instruction set which is designed to implement efficiently the primitive operations for performing graph rewriting and graph evaluation.
While the I F combinator could be implemented so as not to rewrite graphs, in the style of the projection combinators, the overhead involved in repeatedly evalu ating the first argument probably outweighs the savings possible from not rewriting the graph. 3. List Manipulation Combinators The Turner Set includes definitions for two list manipulation com binators: P and U. P is the "pairing" combinator, which works much like a " cons" operation in LISP. Figure 4-7 shows the P transformation, which protects a pair of subtrees from being evaluated, and returns a pointer to the structure of paired elements.
It is important to note that the value returned by the P combinator is not necessarily the same as the value used by the U combinator subtree to access the P subtree, since additional projection combinatore may interfere there as well. A second ary use of the P node which is supported by this method is the use of P to return pointers to unevaluated lists for performing list equality compari sons. The U combinator expects that its second argument will be a pointer to a tree which reduces to a P combinator subtree.