[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 55 from proof walk-prepost-h (previous step)

dirs[ino] = mkdir(m, md, # links(ino, dirs), m1, entries), dent = negdentry(str), err = ESUCCESS, err0 = ESUCCESS, p_ino = ino, afs-cons(dirs, files), ispath(q, ROOT_INO, ino, dirs, files), pre-lookup(p_ino, dent, dirs, files), px(user, md), dent.name ∈ dirs[p_ino].entries, ino ∈ dirs, q ≠ ε → px(user, parent(q), ROOT_INO, dirs, files), ∀ p1, err, p, p_ino, ino, dirs, files, q, user, asynced. # p1 < #(str + p2) → err = ESUCCESS ∧ p = p1 ∧ p_ino = ino ∧ afs-cons(dirs, files) ∧ ispath(q, ROOT_INO, ino, dirs, files) ∧ ino ∈ dirs ∧ (q ≠ ε → px(user, parent(q), ROOT_INO, dirs, files)) → [while p ≠ ε ∧ err = ESUCCESS do {choose inode with true in vfs_may_lookup#(ino, user, dirs, files, asynced; inode, err); if err = ESUCCESS then let dent = negdentry(p.head) in {afs_lookup#(ino, dirs, files, asynced; dent, err); if err = ESUCCESS then {ino := dent.ino; p := p.tail}}}] ( ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(p1, p_ino, ino, dirs, files) ∧ px-parent(user, q + p1, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ ¬ ispath(p1, p_ino, dirs, files) ∨ err = EACCESS ∧ p1 ≠ ε ∧ (∃ p'. p' ⊑ parent(p1) ∧ ispath(p', p_ino, dirs, files) ∧ ¬ px(user, q + p', ROOT_INO, dirs, files))) ⊦ [p_ino0 := ino; p := str ' + p2; if err = ESUCCESS then {ino := mkdentry(dent.name, dirs[p_ino].entries[dent.name]).ino; p := p.tail}; while p ≠ ε ∧ err = ESUCCESS do {choose inode with true in vfs_may_lookup#(ino, user, dirs, files, asynced; inode, err); if err = ESUCCESS then let dent = negdentry(p.head) in {afs_lookup#(ino, dirs, files, asynced; dent, err); if err = ESUCCESS then {ino := dent.ino; p := p.tail}}}] ( ⌊err⌋ ∨ err = ESUCCESS ∧ p_ino0 ∈ dirs ∧ str ∈ dirs[p_ino0].entries ∧ ispath(p2, dirs[p_ino0].entries[str], ino, dirs, files) ∧ px-parent(user, q + str ' + p2, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ (¬ p_ino0 ∈ dirs ∨ ¬ str ∈ dirs[p_ino0].entries ∨ ¬ ispath(p2, dirs[p_ino0].entries[str], dirs, files)) ∨ err = EACCESS ∧ (∃ p'. p' ⊑ parent(str ' + p2) ∧ ispath(p', p_ino0, dirs, files) ∧ ¬ px(user, q + p', ROOT_INO, dirs, files)))

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information