[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 9 from proof inv-writemeta (previous step)

ino = ROOT_INO, afs-cons(dirs, files), of-cons(of, dirs, files) ⊦ [vfs_walk#(p, user, dirs, files, asynced; ino, err)] ( ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(p, ROOT_INO, ino, dirs, files) ∧ px-parent(user, p, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ ¬ ispath(p, ROOT_INO, dirs, files) ∨ err = EACCESS ∧ p ≠ ε ∧ (∃ p'. p' ⊑ parent(p) ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files)) → ⟪if err = ESUCCESS then choose inode with true in {afs_iget#(ino, dirs, files, asynced; inode, err); if err = ESUCCESS then if pw(user, inode.meta) then {inode.meta := md; afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_write_inode#(inode; err, dirs, files; asynced)} else err := EACCESS}⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)))

User applied rule skip call

And obtained the following new goals

Rule argument

pos: right 1

Additional information