2018•Unpublished venueOpen access

Sound up-to techniques and Complete abstract domains

Filippo Bonchi, Pierre Ganty, Roberto Giacobazzi, Duško Pavlović

Abstract

Abstract interpretation is a method to automatically find invariants of programs or pieces of code whose semantics is given via least fixed-points. Up-to techniques have been introduced as enhancements of coinduction, an abstract principle to prove properties expressed via greatest fixed-points.

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Key concepts: Soundness, Completeness (order theory), Ingenuity, Interpretation (philosophy), Abstract interpretation, Computer science, Sound (geography), Programming language