An approach to completing variable names for implicitly typed functional languages

This paper presents an approach to completing variable names when writing programs in an implicitly typed functional language. As a first step toward developing practical systems, we considered a simple case: up to the cursor position the program text is given completely. With this assumption we specify a variable completion problem for an implicitly typed core functional language with let-polymorphism, and show an algorithm for solving the problem. Based on the algorithm we have implemented a variable name completion system for the language as an Emacs-mode.