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Section: New Results

Control-Flow Analysis by Abstract Interpretation

Control-flow analysis (CFA) of functional programs is concerned with determining how the program's functions call each other. In the case of the lambda calculus, this amounts to computing the flow of lambda expressions in order to determine what functions are effectively called in an application (e 1 e 2 ). This work shows that it is possible to use abstract interpretation techniques to derive systematically a control-flow analysis for a simple higher-order functional language. The analysis approximates the interprocedural control-flow of both function calls and returns in the presence of first-class functions and tail-call optimization. A number of advantages follow from taking this approach:

This work was presented at the Japanese Shonan workshop on Verification of higher-order functional programs in September 2011. A journal article is accepted to appear in Information and Computation.