[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 45 from proof inv-fsync (previous step)

⟨vfs_walk#(p, user, dirs, files, asynced; ino1, err)⟩ (ino1 = ino0 ∧ err = ESUCCESS), files[ino0] = mkfile(m0, md0, # links(ino0, dirs), content0), err = ESUCCESS, ino1 = ROOT_INO, afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pr(user, md0), px-parent(user, p, ROOT_INO, dirs, files), ino0 ∈ files ⊦ ⟪choose err0 with ⌊err0⌋ ∨ err0 = ESUCCESS in err := err0; choose bv with true in asynced := bv; if err = ESUCCESS then afs_sync#(dirs, files; ; asynced, err)⟫ true, ino0 ∈ dirs

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

Proof step 46:
⟨vfs_walk#(p, user, dirs, files, asynced; ino1, err)⟩ (ino1 = ino0 ∧ err = ESUCCESS), files[ino0] = mkfile(m0, md0, # links(ino0, dirs), content0), err = ESUCCESS, ino1 = ROOT_INO, afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pr(user, md0), px-parent(user, p, ROOT_INO, dirs, files), ino0 ∈ files, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪err := err0; choose bv with true in asynced := bv; if err = ESUCCESS then afs_sync#(dirs, files; ; asynced, err)⟫ true, ino0 ∈ dirs
Proof step 61:
⟨vfs_walk#(p, user, dirs, files, asynced; ino1, err)⟩ (ino1 = ino0 ∧ err = ESUCCESS), files[ino0] = mkfile(m0, md0, # links(ino0, dirs), content0), err = ESUCCESS, ino1 = ROOT_INO, afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pr(user, md0), px-parent(user, p, ROOT_INO, dirs, files), ino0 ∈ files ⊦ ino0 ∈ dirs, ∃ err0. ⌊err0⌋ ∨ err0 = ESUCCESS

Proof step 45 from proof inv-fsync (previous step)

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

Rule argument

Additional information