| root[path].dir? ↔ ino2 ∈ dirs, root.dir?, dom of < ino6, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino2, dirs, files), of-cons(of, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), psynced → asynced, ino2 ∈ dirs ∨ ino2 ∈ files ⊦ [fail#(; ; err); md := md0; ino1 := ino4; ino0 := ino3; err1 := err; if err1 = ESUCCESS then if pr(user, inode.meta) then {md := inode.meta, ino0 := inode.size; if inode.directory then ino1 := inode.nsubdirs + 2 else ino1 := inode.nlink} else err1 := EACCESS] ⟨posix_readmeta#(path, user, root, abs-files(files), abs-of(of); md0, ino4, ino3, err0)⟩ ((psynced → asynced) ∧ md = md0 ∧ ino1 = ino4 ∧ ino0 = ino3 ∧ err1 = err0) |
root[path].dir? ↔ ino2 ∈ dirs, root.dir?, dom of < ino6, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino2, dirs, files), of-cons(of, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), psynced → asynced, ino2 ∈ dirs ∨ ino2 ∈ files ⊦ [choose err0 with ⌊err0⌋ in err := err0; md := md0; ino1 := ino4; ino0 := ino3; err1 := err; if err1 = ESUCCESS then if pr(user, inode.meta) then {md := inode.meta, ino0 := inode.size; if inode.directory then ino1 := inode.nsubdirs + 2 else ino1 := inode.nlink} else err1 := EACCESS] ⟨posix_readmeta#(path, user, root, abs-files(files), abs-of(of); md0, ino4, ino3, err0)⟩ ((psynced → asynced) ∧ md = md0 ∧ ino1 = ino4 ∧ ino0 = ino3 ∧ err1 = err0)
Used simplifier rules: fail#(; ; ERR){choose ERR0 with ⌊ERR0⌋ in ERR := ERR0};