[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 7 from proof refine-readdir (previous step)

err = err0, strings = strings0, root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced ⊦ [let ino = ROOT_INO, isdir = true, mode = MODE_R in {vfs_walk#(path, user, dirs, files, asynced; ino, err); if err = ESUCCESS then choose inode with true in {vfs_may_open#(ino, isdir, mode, user, dirs, files, asynced; inode, err); if err = ESUCCESS then afs_readdir#(inode, dirs, files, asynced; strings, err)}}] ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings0, err0)⟩ ((psynced → asynced) ∧ strings = strings0 ∧ err = err0)

Heuristic symbolic execution applied rule let right

And obtained the following new goals

Proof step 8:
isdir ↔ true, err = err0, ino = ROOT_INO, mode = MODE_R, strings = strings0, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced ⊦ [vfs_walk#(path, user, dirs, files, asynced; ino, err); if err = ESUCCESS then choose inode with true in {vfs_may_open#(ino, isdir, mode, user, dirs, files, asynced; inode, err); if err = ESUCCESS then afs_readdir#(inode, dirs, files, asynced; strings, err)}] ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings0, err0)⟩ ((psynced → asynced) ∧ strings = strings0 ∧ err = err0)

Proof step 7 from proof refine-readdir (previous step)

Heuristic symbolic execution applied rule let right

And obtained the following new goals

Rule argument

Additional information