[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 38 from proof inv-readdir (previous step)

dirs[ino0] = mkdir(m, md, # links(ino0, dirs), m1, entries), err = ESUCCESS, inode = mkinode(ino0, md, true, # links(ino0, dirs), m1, m), strings0 = strings, afs-cons(dirs, files), ispath(p0, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pr(user, md), px-parent(user, p0, ROOT_INO, dirs, files), ino0 ∈ dirs ⊦ ⟪if pre-readdir(inode.ino, dirs, files) then {{strings0 := dom dirs[inode.ino].entries; err := ESUCCESS} or {choose strings with true in strings0 := strings; fail#(; ; err)}} else abort⟫ true

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 39:
dirs[ino0] = mkdir(m, md, # links(ino0, dirs), m1, entries), err = ESUCCESS, inode = mkinode(ino0, md, true, # links(ino0, dirs), m1, m), strings0 = strings, afs-cons(dirs, files), ispath(p0, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), pr(user, md), px-parent(user, p0, ROOT_INO, dirs, files), ino0 ∈ dirs ⊦ ⟪{strings0 := dom dirs[inode.ino].entries; err := ESUCCESS} or {choose strings with true in strings0 := strings; fail#(; ; err)}⟫ true

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)% ⊦ pre-readdir(ino, dirs, files) ↔ valid-dir-ino(ino, dirs, files); (s)% ⊦ valid-dir-ino(ino, dirs, files) ↔ ino ∈ dirs; (s)