[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 26 from proof inv-fsync (previous step)

⟨vfs_walk#(p, user, dirs, files, asynced; ino1, err0)⟩ (ino1 = ino0 ∧ err0 = ESUCCESS), isdir ↔ false, err = (inode.directory ⊃ EISDIR;ENOTDIR), err0 = ESUCCESS, err1 = ESUCCESS, ino = ino0, ino1 = ROOT_INO, inode = getinode(ino, dirs, files), mode = MODE_R, afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pre-iget(ino, dirs, files), px-parent(user, p, ROOT_INO, dirs, files) ⊦ ⟪if err = ESUCCESS then afs_sync#(dirs, files; ; asynced, err)⟫ true, inode.directory ↔ isdir

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Proof step 27:
⟨vfs_walk#(p, user, dirs, files, asynced; ino1, err0)⟩ (ino1 = ino0 ∧ err0 = ESUCCESS), isdir ↔ false, err = (inode.directory ⊃ EISDIR;ENOTDIR), err0 = ESUCCESS, err1 = ESUCCESS, ino = ino0, ino1 = ROOT_INO, inode = getinode(ino, dirs, files), mode = MODE_R, afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pre-iget(ino, dirs, files), px-parent(user, p, ROOT_INO, dirs, files) ⊦ ⟪skip⟫ true, inode.directory ↔ isdir

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ESUCCESS ≠ EISDIR; (s)% ⊦ ESUCCESS ≠ ENOTDIR; (s)