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Sound up-to techniques and Complete abstract domains
[article]
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,
arXiv:1804.10507v2
fatcat:2go2ofzmh5h6hlqbmucitzmyey