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Presents the results of an investigation into the issues§raised by the development of a compiler for APL, a very high§level computer programming language. APL presents a number§of novel problems for a compiler writer: weak variable§typing, run time changes in variable shape, and a host of§primitive operations. Through the integration of several§recently developed compiler construction techniques, such as§data flow analysis, and a novel and space efficient demand§driven or lazy evaluation approach to code generation, the§author has been able to produce a true compiler for the§language while still maintaining the felxibility and ease§that are the hallmarks of APL.