From 98f583538b2c884bce3c40712deb97fbac9e5377 Mon Sep 17 00:00:00 2001 From: Ralf Jung <jung@mpi-sws.org> Date: Tue, 19 Apr 2016 18:38:57 +0200 Subject: [PATCH] docs: new frame-step rules --- docs/derived.tex | 4 ++-- docs/logic.tex | 4 ++-- 2 files changed, 4 insertions(+), 4 deletions(-) diff --git a/docs/derived.tex b/docs/derived.tex index 696be132b..8fa3c08cd 100644 --- a/docs/derived.tex +++ b/docs/derived.tex @@ -176,8 +176,8 @@ The following rules can be derived for Hoare triples. {\hoare{\prop * \propC}{\expr}{\Ret\val. \propB * \propC}[\mask]} \and \inferH{Ht-frame-step} - {\hoare{\prop}{\expr}{\Ret\val. \propB}[\mask] \and \toval(\expr) = \bot} - {\hoare{\prop * \later\propC}{\expr}{\Ret\val. \propB * \propC}[\mask]} + {\hoare{\prop}{\expr}{\Ret\val. \propB}[\mask] \and \toval(\expr) = \bot \and \mask_2 \subseteq \mask_2 \\\\ \propC_1 \vs[\mask_1][\mask_2] \later\propC_2 \and \propC_2 \vs[\mask_2][\mask_1] \propC_3} + {\hoare{\prop * \propC_1}{\expr}{\Ret\val. \propB * \propC_3}[\mask \uplus \mask_1]} \and \inferH{Ht-atomic} {\prop \vs[\mask \uplus \mask'][\mask] \prop' \\ diff --git a/docs/logic.tex b/docs/logic.tex index 7e17741b5..24a8ca03a 100644 --- a/docs/logic.tex +++ b/docs/logic.tex @@ -584,8 +584,8 @@ This is entirely standard. {}{\propB * \wpre\expr[\mask]{\Ret\var.\prop} \proves \wpre\expr[\mask]{\Ret\var.\propB*\prop}} \infer[wp-frame-step] -{\toval(\expr) = \bot} -{\later\propB * \wpre\expr[\mask]{\Ret\var.\prop} \proves \wpre\expr[\mask]{\Ret\var.\propB*\prop}} +{\toval(\expr) = \bot \and \mask_2 \subseteq \mask_1} +{\wpre\expr[\mask]{\Ret\var.\prop} * \pvs[\mask_1][\mask_2]\later\pvs[\mask_2][\mask_1]\propB \proves \wpre\expr[\mask \uplus \mask_1]{\Ret\var.\propB*\prop}} \infer[wp-bind] {\text{$\lctx$ is a context}} -- GitLab