Sound up-to techniques and Complete abstract domains [article]

Filippo Bonchi, Pierre Ganty, Roberto Giacobazzi, Dusko Pavlovic
2018 arXiv   pre-print
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. While abstract interpretation is always sound by definition, the soundness of up-to techniques needs some ingenuity to be proven. For completeness, the setting is switched: up-to techniques are always complete,
more » ... hile abstract domains are not. In this work we show that, under reasonable assumptions, there is an evident connection between sound up-to techniques and complete abstract domains.
arXiv:1804.10507v2 fatcat:2go2ofzmh5h6hlqbmucitzmyey