| orphans(fs, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-cons(ri, fs), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), fs[(∅)[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO → inodekey(m) ∈ ri, asynced → boolvar, inodekey(m) ∈ ri ∧ ¬ fs[ri[inodekey(m)]].directory ∧ ¬ boolvar0 ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∨ inodekey(m) ∈ ri ∧ fs[ri[inodekey(m)]].directory ∧ boolvar0 ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ m2 = fs[ri[inodekey(m)]].size, inodekey(m) ∈ ri ∧ fs[ri[inodekey(m)]].directory ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m2 = fs[ri[inodekey(m)]].size ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ boolvar0 ∨ inodekey(m) ∈ ri ∧ ¬ fs[ri[inodekey(m)]].directory ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = 0 ∧ ¬ boolvar0 ⊦ ⟪choose err0 with ⌊err0⌋ in err := err0; adr := ?; boolvar := ?; ro0 := orphans(fs, ri); files := abs-files(fs, ri); dirs := abs-dirs(fs, ri); if err = ESUCCESS then aubifs_core_index_store#(inodekey(m), adr, fi, ro0, fo, fs, log, boolvar; ri)⟫ ⟨afs_write_inode#(mkinode(m, md, boolvar0, m0, m1, m2); err0, dirs, files; asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro0) ∧ (asynced → boolvar) ∧ err = err0), m = 0 |
fo.inodes?, orphans(fs, ri).inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-cons(ri, fs), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), ⌊err0⌋ , asynced → boolvar, fs[(∅)[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO → inodekey(m) ∈ ri, inodekey(m) ∈ ri ∧ fs[ri[inodekey(m)]].directory ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m2 = fs[ri[inodekey(m)]].size ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ boolvar0 ∨ inodekey(m) ∈ ri ∧ ¬ fs[ri[inodekey(m)]].directory ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = 0 ∧ ¬ boolvar0, inodekey(m) ∈ ri ∧ ¬ fs[ri[inodekey(m)]].directory ∧ ¬ boolvar0 ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∨ inodekey(m) ∈ ri ∧ fs[ri[inodekey(m)]].directory ∧ boolvar0 ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ m2 = fs[ri[inodekey(m)]].size ⊦ ⟪err := err0; adr := ?; boolvar := ?; ro0 := orphans(fs, ri); files := abs-files(fs, ri); dirs := abs-dirs(fs, ri); if err = ESUCCESS then aubifs_core_index_store#(inodekey(m), adr, fi, ro0, fo, fs, log, boolvar; ri)⟫ ⟨afs_write_inode#(mkinode(m, md, boolvar0, m0, m1, m2); err1, dirs, files; asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro0) ∧ (asynced → boolvar) ∧ err = err1), m = 0
fo.inodes?, orphans(fs, ri).inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-cons(ri, fs), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), asynced → boolvar, fs[(∅)[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO → inodekey(m) ∈ ri, inodekey(m) ∈ ri ∧ fs[ri[inodekey(m)]].directory ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m2 = fs[ri[inodekey(m)]].size ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ boolvar0 ∨ inodekey(m) ∈ ri ∧ ¬ fs[ri[inodekey(m)]].directory ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = 0 ∧ ¬ boolvar0, inodekey(m) ∈ ri ∧ ¬ fs[ri[inodekey(m)]].directory ∧ ¬ boolvar0 ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∨ inodekey(m) ∈ ri ∧ fs[ri[inodekey(m)]].directory ∧ boolvar0 ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ m2 = fs[ri[inodekey(m)]].size ⊦ m = 0, ∃ err0. ⌊err0⌋