| Symbol | Specification | Kind | Type |
|---|
| # . | string | f | string → nat |
| # . | pathset | f | pathset → nat |
| # . | dir-entries | f | dir-entries → nat |
| # . | buffer-inf | f | buffer-inf → natinf |
| # . | directory-tree-inst | f | stringset → nat |
| # . | buffer-inf | f | datalist → nat |
| # . | open-file-handles | f | nat-set → nat |
| # . | open-file-handles | f | open-file-handles → nat |
| # . | dir-heap | f | dir-heap → nat |
| # . | fidbag | f | fidbag → nat |
| # . | buffer | f | buffer → nat |
| # . | file-content | f | file-content → nat |
| # . | directory-tree-base | f | entries-tree → nat |
| # . | file-heap | f | file-heap → nat |
| # . | file-data-store | f | fidset → nat |
| # . | path | f | path → nat |
| # . | file-data-store | f | file-data-store → nat |
| # . | alink-set | f | alink-set → nat |
| # . | open-files | f | open-files → nat |
| #n . | directory-tree | f | entries-tree → nat |
| #n . | directory-tree | f | directory-tree → nat |
| . % . | nat-div | pf | nat × nat → nat with λ n, m. m ≠ 0 |
| . ' | buffer-inf | f | data → datalist |
| . ' | string | f | char → string |
| . ' | path | f | string → path |
| . * . | nat-mult | f | nat × nat → nat |
| . * . | dir-heap | f | (dir-heap → bool) × (dir-heap → bool) → dir-heap → bool |
| . * . | file-heap | f | (file-heap → bool) × (file-heap → bool) → file-heap → bool |
| . + . | nat-basic | f | nat × nat → nat |
| . + . | posix-links | f | string × pathset → pathset |
| . + . | string | f | char × string → string |
| . + . | string | f | string × string → string |
| . + . | buffer-inf | f | buffer-inf × buffer-inf → buffer-inf |
| . + . | string | f | string × char → string |
| . + . | buffer-inf | f | data × buffer-inf → buffer-inf |
| . + . | buffer | f | buffer × buffer → buffer |
| . + . | nat-inf | f | natinf × natinf → natinf |
| . + . | path | f | string × path → path |
| . + . | buffer-inf | f | datalist × data → datalist |
| . + . | path | f | path × path → path |
| . + . | buffer-inf | f | datalist × datalist → datalist |
| . + . | path | f | path × string → path |
| . + . | buffer-inf | f | data × datalist → datalist |
| . ++ . | pathset | f | pathset × path → pathset |
| . ++ . | string | f | string × char → string |
| . ++ . | buffer-inf | f | datalist × data → datalist |
| . ++ . | directory-tree-inst | f | stringset × string → stringset |
| . ++ . | fidbag | f | fidbag × fid → fidbag |
| . ++ . | open-file-handles | f | nat-set × nat → nat-set |
| . ++ . | file-data-store | f | fidset × fid → fidset |
| . ++ . | dir-heap | f | dir-heap × nat → dir-heap |
| . ++ . | alink-set | f | alink-set × alink → alink-set |
| . ++ . | file-heap | f | file-heap × nat → file-heap |
| . ++ . | path | f | path × string → path |
| . +1 | nat-basic | f | nat → nat |
| . +2 . | string | f | char × char → string |
| . +2 . | path | f | string × string → path |
| . +2 . | buffer-inf | f | data × data → datalist |
| . - . | nat | pf | nat × nat → nat with λ n, m. n ≥ m |
| . -* . | file-heap | f | (file-heap → bool) × (file-heap → bool) → file-heap → bool |
| . -* . | dir-heap | f | (dir-heap → bool) × (dir-heap → bool) → dir-heap → bool |
| . -- . | dir-entries | f | dir-entries × string → dir-entries |
| . -- . | pathset | f | pathset × path → pathset |
| . -- . | directory-tree-inst | f | stringset × string → stringset |
| . -- . | open-file-handles | f | open-file-handles × nat → open-file-handles |
| . -- . | open-file-handles | f | nat-set × nat → nat-set |
| . -- . | fidbag | f | fidbag × fid → fidbag |
| . -- . | dir-heap | f | dir-heap × nat → dir-heap |
| . -- . | directory-tree | f | directory-tree × path → directory-tree |
| . -- . | directory-tree-base | f | entries-tree × string → entries-tree |
| . -- . | file-data-store | f | fidset × fid → fidset |
| . -- . | file-content | f | file-content × nat → file-content |
| . -- . | file-data-store | f | file-data-store × fid → file-data-store |
| . -- . | file-heap | f | file-heap × nat → file-heap |
| . -- . | open-files | f | open-files × nat → open-files |
| . -- . | alink-set | f | alink-set × alink → alink-set |
| . -> . | dir-heap | f | (dir-heap → bool) × (dir-heap → bool) → dir-heap → bool |
| . -> . | file-heap | f | (file-heap → bool) × (file-heap → bool) → file-heap → bool |
| . -⊗ . | dir-heap | f | (dir-heap → bool) × (dir-heap → bool) → dir-heap → bool |
| . -⊗ . | file-heap | f | (file-heap → bool) × (file-heap → bool) → file-heap → bool |
| . -1 | nat-basic | pf | nat → nat with λ n. n ≠ 0 |
| . -1l . | string | f | string × char → string |
| . -1l . | buffer-inf | f | datalist × data → datalist |
| . -1l . | path | f | path × string → path |
| . -l . | string | f | string × char → string |
| . -l . | buffer-inf | f | datalist × data → datalist |
| . -l . | path | f | path × string → path |
| . -p . | string | f | string × nat → string |
| . -p . | path | f | path × nat → path |
| . -p . | buffer-inf | f | datalist × nat → datalist |
| . .buf | buffer-option | pf | buffer-opt → buffer with λ buf-opt. buf-opt.some? |
| . .buf | buffer-inf-conv | f | buffer-inf → buffer |
| . .butlast | buffer-inf | pf | datalist → datalist with λ dx. dx ≠ [] |
| . .butlast | string | pf | string → string with λ str. str ≠ "" |
| . .butmax | nat-set | pf | nat-set → nat-set with λ ns. ns ≠ ∅ |
| . .butmin | nat-set | pf | nat-set → nat-set with λ ns. ns ≠ ∅ |
| . .char1 | string | pf | string → char with λ str. str ≠ "" |
| . .content | abstract-file | f | abstract-file → file-content |
| . .content | file-data | f | file-data → buffer |
| . .content:= . | abstract-file | f | abstract-file × file-content → abstract-file |
| . .content:= . | file-data | f | file-data × buffer → file-data |
| . .dentry? | dentry | p | dentry |
| . .dir? | directory-tree | p | directory-tree |
| . .directory | inode | p | inode |
| . .directory:= . | inode | f | inode × bool → inode |
| . .entries | abstract-dir | f | abstract-dir → dir-entries |
| . .entries | directory-tree | f | directory-tree → entries-tree |
| . .entries:= . | directory-tree | f | directory-tree × entries-tree → directory-tree |
| . .entries:= . | abstract-dir | f | abstract-dir × dir-entries → abstract-dir |
| . .f | buffer-inf | pf | buffer-inf → nat → data with λ σ0. λ m. ∃ nf0. σ0 = ⌜nf0⌝ |
| . .fid | directory-tree | f | directory-tree → fid |
| . .fid | file-handle | f | file-handle → fid |
| . .fid:= . | directory-tree | f | directory-tree × fid → directory-tree |
| . .fid:= . | file-handle | f | file-handle × fid → file-handle |
| . .fids | posix-base | f | open-file-handles → fidset |
| . .fids | directory-tree-fids | f | directory-tree → fidbag |
| . .fids | directory-tree-fids | f | entries-tree → fidbag |
| . .head | buffer-inf | pf | datalist → data with λ dx. dx ≠ [] |
| . .head | path | pf | path → string with λ p. p ≠ ε |
| . .ino | inode | f | inode → nat |
| . .ino | file | f | file → nat |
| . .ino | dentry | pf | dentry → nat with λ dent. dent.dentry? |
| . .ino | file-id-data | f | fid → nat |
| . .ino:= . | dentry | pf | dentry × nat → dentry with λ dent, m. dent.dentry? |
| . .ino:= . | inode | f | inode × nat → inode |
| . .ino:= . | file | f | file × nat → file |
| . .l | buffer-inf | pf | buffer-inf → datalist with λ σ0. finp(σ0) |
| . .last | string | pf | string → char with λ str. str ≠ "" |
| . .last | buffer-inf | pf | datalist → data with λ dx. dx ≠ [] |
| . .last | path | pf | path → string with λ p. p ≠ ε |
| . .max | nat-set | pf | nat-set → nat with λ ns. ns ≠ ∅ |
| . .meta | abstract-dir | f | abstract-dir → metadata |
| . .meta | directory-tree | f | directory-tree → metadata |
| . .meta | abstract-file | f | abstract-file → metadata |
| . .meta | file-data | f | file-data → metadata |
| . .meta | inode | f | inode → metadata |
| . .meta:= . | abstract-dir | f | abstract-dir × metadata → abstract-dir |
| . .meta:= . | directory-tree | f | directory-tree × metadata → directory-tree |
| . .meta:= . | abstract-file | f | abstract-file × metadata → abstract-file |
| . .meta:= . | file-data | f | file-data × metadata → file-data |
| . .meta:= . | inode | f | inode × metadata → inode |
| . .min | nat-set | pf | nat-set → nat with λ ns. ns ≠ ∅ |
| . .mode | file | f | file → file-mode |
| . .mode | file-handle | f | file-handle → file-mode |
| . .mode:= . | file-handle | f | file-handle × file-mode → file-handle |
| . .mode:= . | file | f | file × file-mode → file |
| . .n | nat-inf | pf | natinf → nat with λ n∞. n∞ ≠ ∞ |
| . .name | alink | f | alink → string |
| . .name | dentry | f | dentry → string |
| . .name:= . | dentry | f | dentry × string → dentry |
| . .negdentry? | dentry | p | dentry |
| . .nlink | abstract-dir | f | abstract-dir → nat |
| . .nlink | inode | f | inode → nat |
| . .nlink | abstract-file | f | abstract-file → nat |
| . .nlink:= . | abstract-dir | f | abstract-dir × nat → abstract-dir |
| . .nlink:= . | inode | f | inode × nat → inode |
| . .nlink:= . | abstract-file | f | abstract-file × nat → abstract-file |
| . .none? | buffer-option | p | buffer-opt |
| . .nsubdirs | abstract-dir | f | abstract-dir → nat |
| . .nsubdirs | inode | f | inode → nat |
| . .nsubdirs:= . | abstract-dir | f | abstract-dir × nat → abstract-dir |
| . .nsubdirs:= . | inode | f | inode × nat → inode |
| . .pino | alink | f | alink → nat |
| . .pos | file-handle | f | file-handle → nat |
| . .pos | file | f | file → nat |
| . .pos:= . | file-handle | f | file-handle × nat → file-handle |
| . .pos:= . | file | f | file × nat → file |
| . .rstring | string | pf | string → string with λ str. str ≠ "" |
| . .size | abstract-dir | f | abstract-dir → nat |
| . .size | inode | f | inode → nat |
| . .size | abstract-file | f | abstract-file → nat |
| . .size:= . | abstract-dir | f | abstract-dir × nat → abstract-dir |
| . .size:= . | abstract-file | f | abstract-file × nat → abstract-file |
| . .size:= . | inode | f | inode × nat → inode |
| . .some? | buffer-option | p | buffer-opt |
| . .stream | afs-stream | f | file-content → buffer-inf |
| . .subdirs | directory-tree | f | directory-tree → stringset |
| . .tail | buffer-inf | pf | datalist → datalist with λ dx. dx ≠ [] |
| . .tail | path | pf | path → path with λ p. p ≠ ε |
| . / . | nat-div | pf | nat × nat → nat with λ n, m. m ≠ 0 |
| . < . | nat-basic | p | nat × nat |
| . < . | nat-inf | p | natinf × natinf |
| . < . | path | p | path × path |
| . < . | buffer-inf | p | datalist × datalist |
| . < . | nat-set | p | nat × nat-set |
| . < . | nat-set | p | nat-set × nat |
| . => . | dir-heap | f | nat × abstract-dir → dir-heap → bool |
| . => . | file-heap | f | nat × abstract-file → file-heap → bool |
| . =>ad | dir-heap | f | nat → dir-heap → bool |
| . =>ad? | dir-heap | f | nat → dir-heap → bool |
| . =>af | file-heap | f | nat → file-heap → bool |
| . =>af? | file-heap | f | nat → file-heap → bool |
| . =>mkfile ( . ) | afs-contracts | f | nat × nat × metadata × nat × buffer-inf → file-heap → bool |
| . > . | nat | p | nat × nat |
| . [ . ] | buffer-inf | pf | buffer-inf × nat × data → buffer-inf with λ σ, n, d. finp(σ) → ⌜n⌝ < # σ |
| . [ . ] | dir-entries | f | dir-entries × string × nat → dir-entries |
| . [ . ] | buffer-inf | pf | buffer-inf × nat → data with λ σ, n. finp(σ) → ⌜n⌝ < # σ |
| . [ . ] | buffer-inf | pf | datalist × nat × data → datalist with λ dx, n, d. n < # dx |
| . [ . ] | buffer-inf | pf | datalist × nat → data with λ dx, n. n < # dx |
| . [ . ] | open-file-handles | pf | open-file-handles × nat → file-handle with λ ofh, fd. fd ∈ ofh |
| . [ . ] | dir-heap | f | dir-heap × nat → abstract-dir |
| . [ . ] | directory-tree-base | pf | entries-tree × string → directory-tree with λ sdt, str. str ∈ sdt |
| . [ . ] | dir-heap | f | dir-heap × nat × abstract-dir → dir-heap |
| . [ . ] | file-data-store | pf | file-data-store × fid → file-data with λ fs, fid. fid ∈ fs |
| . [ . ] | file-content | f | file-content × nat × buffer → file-content |
| . [ . ] | open-files | pf | open-files × nat → file with λ of, fd. fd ∈ of |
| . [ . ] | file-heap | f | file-heap × nat → abstract-file |
| . [ . ] | path | pf | path × nat × string → path with λ p, n, str. n < # p |
| . [ . ] | file-heap | f | file-heap × nat × abstract-file → file-heap |
| . [ . ] | path | pf | path × nat → string with λ p, n. n < # p |
| . [ . ] | open-files | f | open-files × nat × file → open-files |
| . [ . ] | file-content | pf | file-content × nat → buffer with λ content, n. n ∈ content |
| . [ . ] | file-data-store | f | file-data-store × fid × file-data → file-data-store |
| . [ . ] | buffer | pf | buffer × nat × data → buffer with λ buf, n, d. n < # buf |
| . [ . ] | directory-tree-base | f | entries-tree × string × directory-tree → entries-tree |
| . [ . ] | buffer | pf | buffer × nat → data with λ buf, n. n < # buf |
| . [ . ] | directory-tree | f | directory-tree × path → directory-tree |
| . [ . ] | dir-entries | pf | dir-entries × string → nat with λ entries, str. str ∈ entries |
| . [ . ] | directory-tree | f | directory-tree × path × directory-tree → directory-tree |
| . [ . ] | string | pf | string × nat × char → string with λ str, n, char. n < # str |
| . [ . ] | open-file-handles | f | open-file-handles × nat × file-handle → open-file-handles |
| . [ . ] | string | pf | string × nat → char with λ str, n. n < # str |
| . \ . | directory-tree-inst | f | stringset × stringset → stringset |
| . \ . | dir-entries | f | dir-entries × stringset → dir-entries |
| . \ . | pathset | f | pathset × pathset → pathset |
| . \ . | open-file-handles | f | nat-set × nat-set → nat-set |
| . \ . | open-file-handles | f | open-file-handles × nat-set → open-file-handles |
| . \ . | dir-heap | f | dir-heap × nat-set → dir-heap |
| . \ . | fidbag | f | fidbag × fidbag → fidbag |
| . \ . | dir-heap | f | dir-heap × dir-heap → dir-heap |
| . \ . | directory-tree-inst | f | entries-tree × stringset → entries-tree |
| . \ . | file-heap | f | file-heap × nat-set → file-heap |
| . \ . | file-data-store | f | file-data-store × fidset → file-data-store |
| . \ . | file-heap | f | file-heap × file-heap → file-heap |
| . \ . | file-data-store | f | fidset × fidset → fidset |
| . \ . | alink-set | f | alink-set × alink-set → alink-set |
| . \ . | open-files | f | open-files × nat-set → open-files |
| . | . | dir-entries | f | dir-entries × stringset → dir-entries |
| . | . | open-file-handles | f | open-file-handles × nat-set → open-file-handles |
| . | . | open-files | f | open-files × nat-set → open-files |
| . | . | directory-tree-inst | f | entries-tree × stringset → entries-tree |
| . | . | file-data-store | f | file-data-store × fidset → file-data-store |
| . ~ . | afs-stream | p | file-heap × file-heap |
| . × . | directory-tree-base | f | string × directory-tree → stringdirectorytree |
| . ∈ . | pathset | p | path × pathset |
| . ∈ . | string | p | char × string |
| . ∈ . | buffer-inf | p | data × datalist |
| . ∈ . | dir-entries | p | string × dir-entries |
| . ∈ . | open-file-handles | p | file-handle × open-file-handles |
| . ∈ . | directory-tree-inst | p | string × stringset |
| . ∈ . | open-file-handles | p | nat × open-file-handles |
| . ∈ . | dir-entries | p | nat × dir-entries |
| . ∈ . | fidbag | p | fid × fidbag |
| . ∈ . | open-file-handles | p | nat × nat-set |
| . ∈ . | directory-tree | p | path × directory-tree |
| . ∈ . | dir-heap | p | nat × dir-heap |
| . ∈ . | directory-tree-base | p | stringdirectorytree × entries-tree |
| . ∈ . | buffer | p | data × buffer |
| . ∈ . | directory-tree-base | p | string × entries-tree |
| . ∈ . | file-content | p | nat × file-content |
| . ∈ . | directory-tree-inst | p | directory-tree × entries-tree |
| . ∈ . | file-heap | p | nat × file-heap |
| . ∈ . | file-data-store | p | file-data × file-data-store |
| . ∈ . | path | p | string × path |
| . ∈ . | file-data-store | p | fid × fidset |
| . ∈ . | alink-set | p | alink × alink-set |
| . ∈ . | file-data-store | p | fid × file-data-store |
| . ∈ . | open-files | p | nat × open-files |
| . ∈ . | open-files | p | file × open-files |
| . ∩ . | directory-tree-inst | f | stringset × stringset → stringset |
| . ∩ . | pathset | f | pathset × pathset → pathset |
| . ∩ . | open-file-handles | f | nat-set × nat-set → nat-set |
| . ∩ . | file-data-store | f | fidset × fidset → fidset |
| . ∩ . | alink-set | f | alink-set × alink-set → alink-set |
| . ∪ . | directory-tree-inst | f | stringset × stringset → stringset |
| . ∪ . | open-file-handles | f | nat-set × nat-set → nat-set |
| . ∪ . | dir-heap | f | dir-heap × dir-heap → dir-heap |
| . ∪ . | file-heap | f | file-heap × file-heap → file-heap |
| . ∪ . | pathset | f | pathset × pathset → pathset |
| . ∪ . | alink-set | f | alink-set × alink-set → alink-set |
| . ∪ . | fidbag | f | fidbag × fidbag → fidbag |
| . ∪ . | file-data-store | f | fidset × fidset → fidset |
| . ≡ . | file-heap | p | file-heap × file-heap |
| . ≡ . | dir-heap | p | dir-heap × dir-heap |
| . ≤ . | buffer-inf | p | buffer-inf × buffer-inf |
| . ≤ . | nat | p | nat × nat |
| . ≥ . | nat | p | nat × nat |
| . ⊆ . | pathset | p | pathset × pathset |
| . ⊆ . | open-file-handles | p | open-file-handles × open-file-handles |
| . ⊆ . | dir-entries | p | dir-entries × dir-entries |
| . ⊆ . | fidbag | p | fidbag × fidbag |
| . ⊆ . | directory-tree-inst | p | stringset × stringset |
| . ⊆ . | directory-tree-base | p | entries-tree × entries-tree |
| . ⊆ . | open-file-handles | p | nat-set × nat-set |
| . ⊆ . | file-data-store | p | fidset × fidset |
| . ⊆ . | dir-heap | p | dir-heap × dir-heap |
| . ⊆ . | file-data-store | p | file-data-store × file-data-store |
| . ⊆ . | dir-heap | p | (dir-heap → bool) × (dir-heap → bool) |
| . ⊆ . | open-files | p | open-files × open-files |
| . ⊆ . | file-content | p | file-content × file-content |
| . ⊆ . | alink-set | p | alink-set × alink-set |
| . ⊆ . | file-heap | p | file-heap × file-heap |
| . ⊆ . | file-heap | p | (file-heap → bool) × (file-heap → bool) |
| . ⊑ . | string | p | string × string |
| . ⊑ . | buffer-inf | p | datalist × datalist |
| . ⊑ . | path | p | path × path |
| . ⊒ . | buffer-inf | p | datalist × datalist |
| . ⊒ . | string | p | string × string |
| . ⊒ . | path | p | path × path |
| . ⊕ . | dir-entries | f | dir-entries × dir-entries → dir-entries |
| . ⊕ . | open-file-handles | f | open-file-handles × open-file-handles → open-file-handles |
| . ⊕ . | open-files | f | open-files × open-files → open-files |
| . ⊕ . | directory-tree-inst | f | entries-tree × entries-tree → entries-tree |
| . ⊕ . | file-data-store | f | file-data-store × file-data-store → file-data-store |
| . ⊗ . | dir-heap | f | (dir-heap → bool) × (dir-heap → bool) → dir-heap → bool |
| . ⊗ . | file-heap | f | (file-heap → bool) × (file-heap → bool) → file-heap → bool |
| . ⊥ . | file-heap | p | file-heap × file-heap |
| . ⊥ . | dir-heap | p | dir-heap × dir-heap |
| . and . | dir-heap | f | (dir-heap → bool) × (dir-heap → bool) → dir-heap → bool |
| . and . | file-heap | f | (file-heap → bool) × (file-heap → bool) → file-heap → bool |
| . from . | buffer-inf | pf | datalist × nat → datalist with λ dx, n. n ≤ # dx |
| . from . | buffer-inf | pf | buffer-inf × nat → buffer-inf with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ |
| . from . | buffer-inf | f | (nat → data) × nat → nat → data |
| . or . | dir-heap | f | (dir-heap → bool) × (dir-heap → bool) → dir-heap → bool |
| . or . | file-heap | f | (file-heap → bool) × (file-heap → bool) → file-heap → bool |
| . to . | buffer-inf | pf | datalist × nat → datalist with λ dx, n. n ≤ # dx |
| . to . | buffer-inf | f | (nat → data) × nat → datalist |
| . to . | buffer-inf | pf | buffer-inf × nat → buffer-inf with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ |
| . to∞ . | buffer-inf | pf | buffer-inf × natinf → buffer-inf with λ σ, n∞. finp(σ) → n∞ < # σ ∨ n∞ = # σ |
| . upto . | afs-base | f | file-content × nat → file-content |
| [] | buffer-inf | c | datalist |
| [] | buffer-inf | c | buffer-inf |
| _∃ . | file-heap | f | (abstract-file → file-heap → bool) → file-heap → bool |
| _∃ . | dir-heap | f | (nat → dir-heap → bool) → dir-heap → bool |
| _∃ . | file-heap | f | (nat × nat → file-heap → bool) → file-heap → bool |
| _∃ . | dir-heap | f | (nat × nat → dir-heap → bool) → dir-heap → bool |
| _∃ . | file-heap | f | (nat → file-heap → bool) → file-heap → bool |
| _∃ . | dir-heap | f | (abstract-dir → dir-heap → bool) → dir-heap → bool |
| { . } | pathset | f | path → pathset |
| { . } | directory-tree-inst | f | string → stringset |
| { . } | fidbag | f | fid → fidbag |
| { . } | open-file-handles | f | nat → nat-set |
| { . } | file-data-store | f | fid → fidset |
| { . } | dir-heap | f | dir-heap → dir-heap → bool |
| { . } | alink-set | f | alink → alink-set |
| { . } | file-heap | f | file-heap → file-heap → bool |
| ε | path | c | path |
| σ | buffer-inf | v | buffer-inf |
| σ⊥ | buffer-inf-conv | c | buffer-inf |
| σ1 | buffer-inf | v | buffer-inf |
| σ2 | buffer-inf | v | buffer-inf |
| ∅ | dir-entries | c | dir-entries |
| ∅ | directory-tree-inst | c | stringset |
| ∅ | open-file-handles | c | nat-set |
| ∅ | dir-heap | c | dir-heap |
| ∅ | file-content | c | file-content |
| ∅ | file-heap | c | file-heap |
| ∅ | alink-set | c | alink-set |
| ∅ | open-files | c | open-files |
| ∅ | file-data-store | c | file-data-store |
| ∅ | file-data-store | c | fidset |
| ∅ | directory-tree-base | c | entries-tree |
| ∅ | pathset | c | pathset |
| ∅ | fidbag | c | fidbag |
| ∅ | open-file-handles | c | open-file-handles |
| ∞ | nat-inf | c | natinf |
| ⊏ | string | p | string × string |
| ⌊ . ⌋ | error-class | p | error |
| ⌜ . ⌝ | dir-heap | f | bool → dir-heap → bool |
| ⌜ . ⌝ | file-id-data | f | nat → fid |
| ⌜ . ⌝ | file-heap | f | bool → file-heap → bool |
| ⌜ . ⌝ | buffer-inf-conv | f | buffer → buffer-inf |
| ⌜ . ⌝ | buffer-inf | f | datalist → buffer-inf |
| ⌜ . ⌝ | nat-inf | f | nat → natinf |
| ⌜ . ⌝ | buffer-inf | f | (nat → data) → buffer-inf |
| ASYNCED | afs-asm | v | bool,flexible |
| BUF | posix-asm | v | buffer,flexible |
| BUF0 | vfs-asm | v | buffer,flexible |
| Boolvar | directory-tree-inst | v | bool,flexible |
| C_INO | afs-asm | v | nat,flexible |
| C_INODE | afs-asm | v | inode,flexible |
| CONTENT | afs-asm | v | file-content,flexible |
| D | dir-heap | v | dir-heap → bool |
| D0 | dir-heap | v | dir-heap → bool |
| D1 | dir-heap | v | dir-heap → bool |
| D2 | dir-heap | v | dir-heap → bool |
| DEL_INO | vfs-asm | v | nat,flexible |
| DEL_INODE | vfs-asm | v | inode,flexible |
| DENT | afs-asm | v | dentry,flexible |
| DENT_INO | afs-asm | v | nat,flexible |
| DENT_INODE | vfs-asm | v | inode,flexible |
| DENT0 | afs-asm | v | dentry,flexible |
| DENTRY_INO | afs-asm | v | nat,flexible |
| DENTRY_INODE | afs-asm | v | inode,flexible |
| DIR | posix-asm | v | directory-tree,flexible |
| DIRS | afs-asm | v | dir-heap,flexible |
| DONE | vfs-asm | v | bool,flexible |
| DOSYNC | posix-asm | v | bool,flexible |
| E | posix-asm | v | error,flexible |
| EACCESS | error | c | error |
| EB_PAGE_SIZE | eraseblock | c | nat |
| EBADFD | error | c | error |
| ECOMMIT | error | c | error |
| EEXISTS | error | c | error |
| EFAIL | error | c | error |
| EINVAL | error | c | error |
| EIO | error | c | error |
| EISDIR | error | c | error |
| END | afs-asm | v | nat,flexible |
| ENOENT | error | c | error |
| ENOMEM | error | c | error |
| ENOSPC | error | c | error |
| ENOTDIR | error | c | error |
| ENOTEMPTY | error | c | error |
| EROFS | error | c | error |
| ERR | error-class | v | error,flexible |
| ERR0 | error-class | v | error,flexible |
| ESUCCESS | error | c | error |
| EUCLEAN | error | c | error |
| EXISTS | posix-asm | v | bool,flexible |
| F | file-heap | v | file-heap → bool |
| F0 | file-heap | v | file-heap → bool |
| F1 | file-heap | v | file-heap → bool |
| F2 | file-heap | v | file-heap → bool |
| FD | posix-asm | v | nat,flexible |
| FDATA | posix-asm | v | file-data,flexible |
| FH | posix-asm | v | file-handle,flexible |
| FID | posix-asm | v | fid,flexible |
| FILES | afs-asm | v | file-heap,flexible |
| FS | posix-asm | v | file-data-store,flexible |
| IDENTITY | afs-asm | v | bool,flexible |
| INO | afs-asm | v | nat,flexible |
| INODE | afs-asm | v | inode,flexible |
| ISDATASYNC | posix-asm | v | bool,flexible |
| ISDIR | vfs-asm | v | bool,flexible |
| ISDIR0 | vfs-asm | v | bool,flexible |
| ISRENAME | vfs-asm | v | bool,flexible |
| LEB_SIZE | eraseblock | c | nat |
| MAXINO | vfs-asm | v | nat,flexible |
| MD | posix-asm | v | metadata,flexible |
| MODE | posix-asm | v | file-mode,flexible |
| MODE_R | file-mode | c | file-mode |
| MODE_RW | file-mode | c | file-mode |
| MODE_W | file-mode | c | file-mode |
| MODIFIED | afs-asm | v | bool,flexible |
| N | posix-asm | v | nat,flexible |
| N0 | posix-asm | v | nat,flexible |
| N1 | vfs-asm | v | nat,flexible |
| N2 | vfs-asm | v | nat,flexible |
| NAME | vfs-asm | v | string,flexible |
| NAMES | posix-asm | v | stringset,flexible |
| NAMES0 | afs-asm | v | stringset,flexible |
| NEW_CHILD_INODE | afs-asm | v | inode,flexible |
| NEW_DENT | afs-asm | v | dentry,flexible |
| NEW_DENT_INODE | afs-asm | v | inode,flexible |
| NEW_INO | afs-asm | v | nat,flexible |
| NEW_INODE | afs-asm | v | inode,flexible |
| NEW_PARENT_INODE | afs-asm | v | inode,flexible |
| NLINK | posix-asm | v | nat,flexible |
| NS | afs-asm | v | nat-set,flexible |
| OF | vfs-asm | v | open-files,flexible |
| OFFSET | afs-asm | v | nat,flexible |
| OFH | posix-asm | v | open-file-handles,flexible |
| OLD_CHILD_INODE | afs-asm | v | inode,flexible |
| OLD_DENT | afs-asm | v | dentry,flexible |
| OLD_DENT_INODE | afs-asm | v | inode,flexible |
| OLD_INO | afs-asm | v | nat,flexible |
| OLD_INODE | afs-asm | v | inode,flexible |
| OLD_PARENT_INODE | afs-asm | v | inode,flexible |
| OVERWRITE | afs-asm | v | bool,flexible |
| P_INO | afs-asm | v | nat,flexible |
| P_INODE | afs-asm | v | inode,flexible |
| PAGENO | afs-asm | v | nat,flexible |
| PAGES_PER_LEB | eraseblock | c | nat |
| PAGES_PER_PEB | eraseblock | c | nat |
| PATH | posix-asm | v | path,flexible |
| PATH' | posix-asm | v | path,flexible |
| PBUF | afs-asm | v | buffer,flexible |
| PBUF-OPT | afs-asm | v | buffer-opt,flexible |
| PEB_SIZE | eraseblock | c | nat |
| PSYNCED | posix-asm | v | bool,flexible |
| Pentries-tree | directory-tree-inst | v | entries-tree → bool |
| Pstr | vfs-abs | v | string → dir-heap → bool |
| Ptree | directory-tree | v | directory-tree → bool |
| ROOT | posix-asm | v | directory-tree,flexible |
| ROOT_INO | root-ino | c | nat |
| SEEK_CUR | seekflag | c | seekflag |
| SEEK_END | seekflag | c | seekflag |
| SEEK_SET | seekflag | c | seekflag |
| SIZE | posix-asm | v | nat,flexible |
| START | vfs-asm | v | nat,flexible |
| TOTAL | vfs-asm | v | nat,flexible |
| TREE | posix-asm | v | directory-tree,flexible |
| True | separation | p | bool |
| USER | posix-asm | v | user,flexible |
| VFS_PAGE_SIZE | page | c | nat |
| WHENCE | posix-asm | v | seekflag,flexible |
| abs | vfs-abs | f | directory-tree × nat → dir-heap → bool |
| abs | vfs-abs | f | entries-tree × dir-entries → dir-heap → bool |
| abs-files | vfs-abs | f | file-heap → file-data-store |
| abs-of | vfs-abs | f | open-files → open-file-handles |
| abs| | vfs-abs | f | directory-tree × nat × path × nat → dir-heap → bool |
| abs| | vfs-abs | f | entries-tree × dir-entries × path × nat → dir-heap → bool |
| abstract-dir | abstract-dir | s | |
| abstract-file | abstract-file | s | |
| ad | abstract-dir | v | abstract-dir |
| ad0 | dir-heap | v | abstract-dir |
| ad1 | dir-heap | v | abstract-dir |
| adD | dir-heap | v | abstract-dir → dir-heap → bool |
| adF | file-heap | v | abstract-file → file-heap → bool |
| af | abstract-file | v | abstract-file |
| af0 | file-heap | v | abstract-file |
| af1 | file-heap | v | abstract-file |
| afs-cons | afs-base | p | dir-heap × file-heap |
| afs_check_commit# | afs-asm | pr | dir-heap × file-heap : error : bool (nondeterministic) |
| afs_create# | afs-asm | pr | metadata
: inode × inode × dentry × error × dir-heap × file-heap
: bool (nondeterministic) |
| afs_create_ino# | afs-asm | pr | nat × metadata × nat : dentry × error × dir-heap × file-heap (nonfunctional) |
| afs_drop_nlink# | afs-asm | pr | nat : dir-heap × file-heap (nonfunctional) |
| afs_evict# | afs-asm | pr | inode × bool : error × dir-heap × file-heap (nonfunctional) |
| afs_format# | afs-asm | pr | nat × bool × nat × metadata : dir-heap : file-heap × bool × error (nondeterministic) |
| afs_fsync# | afs-asm | pr | inode × bool × dir-heap × file-heap : : bool × error (nondeterministic) |
| afs_fsyncdir# | afs-asm | pr | inode × bool × dir-heap × file-heap × bool : : error (nondeterministic) |
| afs_iget# | afs-asm | pr | nat × dir-heap × file-heap × bool : inode × error (nondeterministic nonfunctional) |
| afs_inc_nlink# | afs-asm | pr | nat : dir-heap × file-heap (nonfunctional) |
| afs_inode_sync# | afs-asm | pr | inode : dir-heap × file-heap (nonfunctional) |
| afs_link# | afs-asm | pr | dentry : inode × inode × dentry × error × dir-heap × file-heap : bool (nondeterministic) |
| afs_lookup# | afs-asm | pr | nat × dir-heap × file-heap × bool : dentry × error (nondeterministic nonfunctional) |
| afs_mkdir# | afs-asm | pr | metadata
: inode × inode × dentry × error × dir-heap × file-heap
: bool (nondeterministic) |
| afs_mkdir_ino# | afs-asm | pr | nat × metadata × nat : dentry × error × dir-heap (nonfunctional) |
| afs_readdir# | afs-asm | pr | inode × dir-heap × file-heap × bool : stringset × error (nondeterministic nonfunctional) |
| afs_readpage# | afs-asm | pr | inode × nat × dir-heap × file-heap × bool : buffer × error (nondeterministic nonfunctional) |
| afs_recovery# | afs-asm | pr | bool : dir-heap × file-heap : bool × error (nondeterministic) |
| afs_rename# | afs-asm | pr | : inode × inode × inode × inode × dentry × dentry × error × dir-heap ×
file-heap
: bool (nondeterministic) |
| afs_rmdir# | afs-asm | pr | : inode × inode × dentry × error × dir-heap × file-heap : bool (nondeterministic) |
| afs_sync# | afs-asm | pr | dir-heap × file-heap : : bool × error (nondeterministic) |
| afs_truncate# | afs-asm | pr | nat × nat
: buffer-opt × inode × bool × error × dir-heap × file-heap × bool (nondeterministic nonfunctional) |
| afs_truncate_internal# | afs-asm | pr | nat × nat
: inode × buffer-opt × nat × nat × bool × error × dir-heap × file-heap
: bool (nondeterministic) |
| afs_unlink# | afs-asm | pr | : inode × inode × dentry × error × dir-heap × file-heap : bool (nondeterministic) |
| afs_write_inode# | afs-asm | pr | inode : error × dir-heap × file-heap : bool (nondeterministic) |
| afs_writepage# | afs-asm | pr | inode × nat × buffer × dir-heap : error × file-heap : bool (nondeterministic) |
| align↑ | align | f | nat × nat → nat |
| align↓ | align | f | nat × nat → nat |
| alink | alink | s | |
| alink | alink | v | alink |
| alink-set | alink-set | s | |
| alink0 | alink-set | v | alink |
| alink1 | alink-set | v | alink |
| asynced | afs-asm | v | bool |
| boolvar | inode | v | bool |
| boolvar0 | inode | v | bool |
| boolvar1 | directory-tree-inst | v | bool |
| buf | buffer | v | buffer |
| buf-opt | buffer-option | v | buffer-opt |
| buf0 | buffer | v | buffer |
| buf1 | buffer | v | buffer |
| buf2 | buffer | v | buffer |
| buffer | buffer | s | |
| buffer-inf | buffer-inf | s | |
| buffer-opt | buffer-option | s | |
| butlastn | buffer-inf | pf | nat × datalist → datalist with λ n, dx. n ≤ # dx |
| butlastn | path | pf | nat × path → path with λ n, p. n ≤ # p |
| butlastn | string | pf | nat × string → string with λ n, str. n ≤ # str |
| bv | heap-sep | v | bool |
| c_inode | afs-pre | v | inode |
| char | char | s | |
| char | char | v | char |
| char0 | char | v | char |
| char1 | char | v | char |
| char2 | char | v | char |
| clinks | vfs-abs | f | pathset × nat × dir-heap × file-heap → alink-set |
| cmp | buffer | pp | buffer × data × nat × nat with λ buf, d, m, n. m + n ≤ # buf |
| cmp | buffer | pp | buffer × nat × buffer × nat × nat with λ buf, m, buf0, m0, n. m + n ≤ # buf ∧ m0 + n ≤ # buf0 |
| content | file-content | v | file-content |
| content0 | file-content | v | file-content |
| content1 | file-content | v | file-content |
| content2 | file-content | v | file-content |
| copy | buffer | pf | buffer × nat × buffer × nat × nat → buffer with λ buf, m, buf0, m0, n. m + n ≤ # buf ∧ m0 + n ≤ # buf0 |
| count | fidbag | f | fid × fidbag → nat |
| d | data | v | data |
| d0 | data | v | data |
| d1 | data | v | data |
| d2 | data | v | data |
| data | data | s | |
| datalist | buffer-inf | s | |
| datasyncp | posix-pre | v | bool |
| dent | dentry | v | dentry |
| dentry | dentry | s | |
| dir-empty | afs-base | p | nat × dir-heap × file-heap |
| dir-entries | dir-entries | s | |
| dir-heap | dir-heap | s | |
| directory-tree | directory-tree-base | s | |
| dirs | dir-heap | v | dir-heap |
| dirs0 | dir-heap | v | dir-heap |
| dirs1 | dir-heap | v | dir-heap |
| dirs2 | dir-heap | v | dir-heap |
| disj | buffer-inf | p | datalist × datalist |
| disj | string | p | string × string |
| disj | path | p | path × path |
| dnode | directory-tree-base | f | metadata × entries-tree → directory-tree |
| dom . | dir-entries | f | dir-entries → stringset |
| dom . | open-files | f | open-files → nat-set |
| dom . | file-data-store | f | file-data-store → fidset |
| dom . | open-file-handles | f | open-file-handles → nat-set |
| dom . | directory-tree-inst | f | entries-tree → stringset |
| dups | buffer-inf | p | datalist |
| dups | string | p | string |
| dups | path | p | path |
| dx | buffer-inf | v | datalist |
| dx0 | buffer-inf | v | datalist |
| dx1 | buffer-inf | v | datalist |
| dx3 | buffer-inf | v | datalist |
| dx7 | buffer-inf | v | datalist |
| emp | file-heap | p | file-heap |
| emp | dir-heap | p | dir-heap |
| empty | buffer | c | data |
| emptyleb | eraseblock | c | buffer |
| emptypage | eraseblock | c | buffer |
| emptypeb | eraseblock | c | buffer |
| entries | dir-entries | v | dir-entries |
| entries-tree | directory-tree-base | s | |
| entries0 | dir-entries | v | dir-entries |
| entries1 | dir-entries | v | dir-entries |
| entries2 | dir-entries | v | dir-entries |
| err | error | v | error |
| err0 | error | v | error |
| err1 | error | v | error |
| err2 | vfs-abs | v | error |
| err3 | vfs-abs | v | error |
| err4 | vfs-abs | v | error |
| error | error | s | |
| f | file-data | v | file-data |
| f0 | file-data-store | v | file-data |
| f1 | file-data-store | v | file-data |
| f2 | file-data-store | v | file-data |
| fail# | error-class | pr | : : error (nondeterministic) |
| fail_or_success# | error-class | pr | : : error (nondeterministic) |
| false | dir-heap | p | dir-heap |
| false | file-heap | p | file-heap |
| fd | open-file-handles | v | nat |
| fd1 | open-file-handles | v | nat |
| fd2 | open-file-handles | v | nat |
| fh | file-handle | v | file-handle |
| fh0 | open-file-handles | v | file-handle |
| fh1 | open-file-handles | v | file-handle |
| fh2 | open-file-handles | v | file-handle |
| fid | file-id | s | |
| fid | file-id | v | fid |
| fid0 | fidbag | v | fid |
| fid1 | file-data-store | v | fid |
| fid2 | file-data-store | v | fid |
| fidb | fidbag | v | fidbag |
| fidb0 | fidbag | v | fidbag |
| fidb1 | fidbag | v | fidbag |
| fidb2 | fidbag | v | fidbag |
| fidbag | fidbag | s | |
| fids | file-data-store | v | fidset |
| fids-cons | posix-base | p | directory-tree × file-data-store × open-file-handles |
| fids0 | file-data-store | v | fidset |
| fids1 | file-data-store | v | fidset |
| fids2 | file-data-store | v | fidset |
| fidset | file-data-store | s | |
| file | file | s | |
| file | file | v | file |
| file-content | file-content | s | |
| file-data | file-data | s | |
| file-data-store | file-data-store | s | |
| file-handle | file-handle | s | |
| file-heap | file-heap | s | |
| file-mode | file-mode | s | |
| file0 | open-files | v | file |
| file1 | open-files | v | file |
| file2 | open-files | v | file |
| files | file-heap | v | file-heap |
| files0 | file-heap | v | file-heap |
| files1 | file-heap | v | file-heap |
| files2 | file-heap | v | file-heap |
| fill | buffer | pf | buffer × data × nat × nat → buffer with λ buf, d, n, m. n + m ≤ # buf |
| fill | buffer | f | buffer × data → buffer |
| fillfirst | string | f | nat × char × string → string |
| fillfirst | path | f | nat × string × path → path |
| fillfirst | buffer-inf | f | nat × data × datalist → datalist |
| finp | buffer-inf | p | buffer-inf |
| firstn | buffer-inf | pf | nat × datalist → datalist with λ n, dx. n ≤ # dx |
| firstn | path | pf | nat × path → path with λ n, p. n ≤ # p |
| firstn | string | pf | nat × string → string with λ n, str. n ≤ # str |
| fnode | directory-tree-base | f | fid → directory-tree |
| fpathtolink | vfs-abs | v | path → alink |
| frome | string | f | string × char → string |
| frome | path | f | path × string → path |
| frome | buffer-inf | f | datalist × data → datalist |
| fs | file-data-store | v | file-data-store |
| fs0 | file-data-store | v | file-data-store |
| fs1 | file-data-store | v | file-data-store |
| fs2 | file-data-store | v | file-data-store |
| getbyte | afs-stream | f | nat × file-content → data |
| getinode | afs-base | f | nat × dir-heap × file-heap → inode |
| getpage | afs-stream | f | nat × file-content → buffer |
| hd | buffer-inf | pf | buffer-inf → data with λ σ. σ ≠ [] |
| id○ | buffer | p | buffer × buffer × nat |
| idrange | buffer | pp | buffer × nat × nat with λ buf, m, n. m + n ≤ # buf |
| ino | file-heap | v | nat |
| ino0 | file-heap | v | nat |
| ino1 | file-heap | v | nat |
| ino2 | dir-entries | v | nat |
| inode | inode | s | |
| inode | inode | v | inode |
| is-aligned | align | p | nat × nat |
| is-open | vfs-base | p | nat × open-files |
| isdir | vfs-asm | v | bool |
| isempty | eraseblock | p | buffer |
| isempty | eraseblock | p | buffer × nat × nat |
| ispath | afs-base | p | path × nat × dir-heap × file-heap |
| ispath | afs-base | p | path × nat × nat × dir-heap × file-heap |
| isrename | vfs-asm | v | bool |
| ite | dir-heap | f | bool × (dir-heap → bool) × (dir-heap → bool) → dir-heap → bool |
| ite | file-heap | f | bool × (file-heap → bool) × (file-heap → bool) → file-heap → bool |
| lastn | buffer-inf | pf | nat × datalist → datalist with λ n, dx. n ≤ # dx |
| lastn | path | pf | nat × path → path with λ n, p. n ≤ # p |
| lastn | string | pf | nat × string → string with λ n, str. n ≤ # str |
| links | afs-base | f | nat × dir-heap → alink-set |
| links | posix-links | f | fid × directory-tree → pathset |
| lookup | afs-base | f | path × nat × dir-heap × file-heap → nat |
| ls | alink-set | v | alink-set |
| ls0 | alink-set | v | alink-set |
| ls1 | alink-set | v | alink-set |
| ls2 | alink-set | v | alink-set |
| m | nat-basic | v | nat |
| m0 | inode | v | nat |
| m1 | inode | v | nat |
| m2 | inode | v | nat |
| m3 | inode | v | nat |
| m4 | inode | v | nat |
| m5 | inode | v | nat |
| m6 | inode | v | nat |
| max | min-max | f | nat × nat → nat |
| max | open-file-handles-ext | f | open-file-handles → nat |
| md | metadata | v | metadata |
| md0 | inode | v | metadata |
| meta | afs-base | f | path × nat × dir-heap × file-heap → metadata |
| meta | posix-base | f | path × directory-tree × file-data-store → metadata |
| metadata | metadata | s | |
| min | nat-inf | f | natinf × natinf → natinf |
| min | vfs-base | f | nat × nat × nat → nat |
| min | min-max | f | nat × nat → nat |
| mkbuf | buffer | f | nat → buffer |
| mkdentry | dentry | f | string × nat → dentry |
| mkdir | abstract-dir | f | nat × metadata × nat × nat × dir-entries → abstract-dir |
| mkempbuf | buffer | f | nat → buffer |
| mkfh | file-handle | f | fid × file-mode × nat → file-handle |
| mkfile | abstract-file | f | nat × metadata × nat × file-content → abstract-file |
| mkfile | file-data | f | metadata × buffer → file-data |
| mkfile | file | f | nat × file-mode × nat → file |
| mkinode | inode | f | nat × metadata × bool × nat × nat × nat → inode |
| mklink | alink | f | nat × string → alink |
| mklist | string | f | char × nat → string |
| mklist | buffer-inf | f | data × nat → datalist |
| mkpath | path | f | string × nat → path |
| mkzbuf | buffer | f | nat → buffer |
| mode | file-mode | v | file-mode |
| mode0 | file-handle | v | file-mode |
| n | nat-basic | v | nat |
| n∞ | nat-inf | v | natinf |
| n∞0 | nat-inf | v | natinf |
| n0 | nat-basic | v | nat |
| n1 | nat-basic | v | nat |
| n2 | nat-set | v | nat |
| n3 | nat-set | v | nat |
| n4 | nat-set | v | nat |
| nD | dir-heap | v | nat → dir-heap → bool |
| nF | file-heap | v | nat → file-heap → bool |
| name | afs-base | v | string |
| nat | nat-basic | s | |
| nat-set | open-file-handles | s | |
| natinf | nat-inf | s | |
| nats | open-file-handles | v | nat-set |
| nats0 | open-file-handles | v | nat-set |
| nats1 | open-file-handles | v | nat-set |
| nats2 | open-file-handles | v | nat-set |
| negdentry | dentry | f | string → dentry |
| new_child_inode | afs-pre | v | inode |
| new_dent | afs-pre | v | dentry |
| new_dent_inode | afs-pre | v | inode |
| new_ino | afs-pre | v | nat |
| new_inode | afs-pre | v | inode |
| new_parent_inode | afs-pre | v | inode |
| nf | buffer-inf | v | nat → data |
| nf0 | buffer-inf | v | nat → data |
| nnD | dir-heap | v | nat × nat → dir-heap → bool |
| nnF | file-heap | v | nat × nat → file-heap → bool |
| none | buffer-option | c | buffer-opt |
| not . | dir-heap | f | (dir-heap → bool) → dir-heap → bool |
| not . | file-heap | f | (file-heap → bool) → file-heap → bool |
| ns | open-files | v | nat-set |
| ns0 | open-files | v | nat-set |
| ns1 | open-files | v | nat-set |
| ns2 | open-files | v | nat-set |
| of | open-files | v | open-files |
| of-cons | vfs-base | p | open-files × dir-heap × file-heap |
| of0 | open-files | v | open-files |
| of1 | open-files | v | open-files |
| of2 | open-files | v | open-files |
| ofh | open-file-handles | v | open-file-handles |
| ofh0 | open-file-handles | v | open-file-handles |
| ofh1 | open-file-handles | v | open-file-handles |
| ofh2 | open-file-handles | v | open-file-handles |
| old_child_inode | afs-pre | v | inode |
| old_dent | afs-pre | v | dentry |
| old_dent_inode | afs-pre | v | inode |
| old_ino | afs-pre | v | nat |
| old_inode | afs-pre | v | inode |
| old_parent_inode | afs-pre | v | inode |
| open-file-handles | open-file-handles | s | |
| open-files | open-files | s | |
| orphans | afs-base | f | dir-heap × file-heap → nat-set |
| p | path | v | path |
| p' | path | v | path |
| p_ino | afs-base | v | nat |
| p_inode | afs-pre | v | inode |
| p0 | path | v | path |
| p1 | path | v | path |
| pageno | afs-pre | v | nat |
| parent | path | pf | path → path with λ p. p ≠ ε |
| path | path | s | |
| path | posix-base | v | path |
| path' | posix-base | v | path |
| pathset | pathset | s | |
| pos | string | f | char × string → nat |
| pos | path | f | string × path → nat |
| pos | buffer-inf | f | data × datalist → nat |
| posix-crash | posix-base | p | directory-tree × file-data-store × open-file-handles × directory-tree × file-data-store × open-file-handles |
| posix_close# | posix-asm | pr | nat × user × directory-tree
: error × file-data-store × open-file-handles (nondeterministic nonfunctional) |
| posix_create# | posix-asm | pr | path × metadata × user × open-file-handles
: error × directory-tree × file-data-store
: bool (nondeterministic) |
| posix_format# | posix-asm | pr | nat × bool × nat × metadata
:
: directory-tree × file-data-store × open-file-handles × bool × error (nondeterministic) |
| posix_fsync# | posix-asm | pr | path × bool × user × directory-tree × file-data-store ×
open-file-handles
:
: bool × error (nondeterministic) |
| posix_fsyncdir# | posix-asm | pr | path × bool × user : : bool × error (nondeterministic) |
| posix_link# | posix-asm | pr | path × path × user × file-data-store × open-file-handles
: error × directory-tree
: bool (nondeterministic) |
| posix_mkdir# | posix-asm | pr | path × metadata × user × file-data-store × open-file-handles
: error × directory-tree
: bool (nondeterministic) |
| posix_open# | posix-asm | pr | path × file-mode × user × directory-tree × file-data-store
: nat × error × open-file-handles (nondeterministic nonfunctional) |
| posix_read# | posix-asm | pr | nat × user × directory-tree × file-data-store
: buffer × nat × error × open-file-handles (nondeterministic nonfunctional) |
| posix_readdir# | posix-asm | pr | path × user × directory-tree × file-data-store × open-file-handles
: stringset × error (nondeterministic nonfunctional) |
| posix_readmeta# | posix-asm | pr | path × user × directory-tree × file-data-store × open-file-handles
: metadata × nat × nat × error (nondeterministic nonfunctional) |
| posix_recover# | posix-asm | pr | bool
: directory-tree × file-data-store × open-file-handles
: bool × error (nondeterministic) |
| posix_rename# | posix-asm | pr | path × path × user × open-file-handles
: error × directory-tree × file-data-store
: bool (nondeterministic) |
| posix_rmdir# | posix-asm | pr | path × user × file-data-store × open-file-handles
: error × directory-tree
: bool (nondeterministic) |
| posix_seek# | posix-asm | pr | nat × seekflag × user × directory-tree × file-data-store
: nat × error × open-file-handles (nondeterministic nonfunctional) |
| posix_sync# | posix-asm | pr | : : bool × error (nondeterministic) |
| posix_truncate# | posix-asm | pr | path × nat × user × directory-tree × open-file-handles
: error × file-data-store
: bool (nondeterministic) |
| posix_unlink# | posix-asm | pr | path × user × open-file-handles
: error × directory-tree × file-data-store
: bool (nondeterministic) |
| posix_write# | posix-asm | pr | nat × buffer × user × directory-tree
: nat × error × file-data-store × open-file-handles
: bool (nondeterministic) |
| posix_writemeta# | posix-asm | pr | path × metadata × user × open-file-handles
: error × directory-tree × file-data-store
: bool (nondeterministic) |
| pr | vfs-permission | p | user × path × nat × dir-heap × file-heap |
| pr | permission | p | user × metadata |
| pr | posix-permission | p | user × path × directory-tree × file-data-store |
| pre-close | posix-pre | p | nat × error × user × directory-tree × file-data-store × open-file-handles |
| pre-create | afs-pre | p | inode × dentry × metadata × dir-heap × file-heap |
| pre-create | posix-pre | p | path × metadata × error × user × directory-tree × file-data-store × open-file-handles |
| pre-evict | afs-pre | p | inode × dir-heap × file-heap |
| pre-fsync | posix-pre | p | path × bool × error × user × directory-tree × file-data-store × open-file-handles |
| pre-iget | afs-pre | p | nat × dir-heap × file-heap |
| pre-link | posix-pre | p | path × path × error × user × directory-tree × file-data-store × open-file-handles |
| pre-link | afs-pre | p | inode × inode × dentry × dentry × dir-heap × file-heap |
| pre-lookup | afs-pre | p | nat × dentry × dir-heap × file-heap |
| pre-mkdir | afs-pre | p | inode × dentry × metadata × dir-heap × file-heap |
| pre-mkdir | posix-pre | p | path × metadata × error × user × directory-tree × file-data-store × open-file-handles |
| pre-open | posix-pre | p | path × file-mode × error × user × directory-tree × file-data-store × open-file-handles |
| pre-read | posix-pre | p | nat × nat × error × user × directory-tree × file-data-store × open-file-handles |
| pre-readdir | posix-pre | p | path × error × user × directory-tree × file-data-store × open-file-handles |
| pre-readdir | afs-pre | p | nat × dir-heap × file-heap |
| pre-readmeta | posix-pre | p | path × error × user × directory-tree × file-data-store × open-file-handles |
| pre-readpage | afs-pre | p | inode × nat × buffer × dir-heap × file-heap |
| pre-renam | posix-pre | p | path × path × error × user × directory-tree × file-data-store × open-file-handles |
| pre-rename | afs-pre | p | inode × dentry × inode × inode × dentry × inode × dir-heap × file-heap |
| pre-rmdir | afs-pre | p | inode × inode × dentry × dir-heap × file-heap |
| pre-rmdir | posix-pre | p | path × error × user × directory-tree × file-data-store × open-file-handles |
| pre-seek | posix-pre | p | nat × nat × seekflag × error × user × directory-tree × file-data-store × open-file-handles |
| pre-truncate | posix-pre | p | path × nat × error × user × directory-tree × file-data-store × open-file-handles |
| pre-truncate | afs-pre | p | inode × nat × nat × buffer-opt × dir-heap × file-heap |
| pre-unlink | afs-pre | p | inode × inode × dentry × dir-heap × file-heap |
| pre-unlink | posix-pre | p | path × error × user × directory-tree × file-data-store × open-file-handles |
| pre-write | posix-pre | p | nat × buffer × nat × error × user × directory-tree × file-data-store × open-file-handles |
| pre-write-inode | afs-pre | p | inode × dir-heap × file-heap |
| pre-writemeta | posix-pre | p | path × metadata × error × user × directory-tree × file-data-store × open-file-handles |
| pre-writepage | afs-pre | p | inode × nat × buffer × dir-heap × file-heap |
| precise | dir-heap | p | (dir-heap → bool) |
| precise | file-heap | p | (file-heap → bool) |
| ps | pathset | v | pathset |
| ps0 | pathset | v | pathset |
| ps1 | pathset | v | pathset |
| ps2 | pathset | v | pathset |
| psynced | posix-asm | v | bool |
| pw | vfs-permission | p | user × path × nat × dir-heap × file-heap |
| pw | posix-permission | p | user × path × directory-tree × file-data-store |
| pw | permission | p | user × metadata |
| px | vfs-permission | p | user × path × nat × dir-heap × file-heap |
| px | posix-permission | p | user × path × directory-tree × file-data-store |
| px | permission | p | user × metadata |
| px-parent | vfs-permission | p | user × path × nat × dir-heap × file-heap |
| px-parent | posix-permission | p | user × path × directory-tree × file-data-store |
| py | posix-permission | p | user × path × directory-tree × file-data-store |
| py | vfs-permission | p | user × path × nat × dir-heap × file-heap |
| q | path | v | path |
| range= | buffer | p | buffer × nat × buffer × nat × nat |
| read-inv | vfs-contracts | p | nat × nat × inode × buffer × buffer × nat × dir-heap × file-heap |
| read-inv | vfs-contracts | p | nat × nat × buffer × buffer × nat × file-content |
| resize | buffer | f | buffer × nat → buffer |
| restn | buffer-inf | pf | nat × datalist → datalist with λ n, dx. n ≤ # dx |
| restn | path | pf | nat × path → path with λ n, p. n ≤ # p |
| restn | string | pf | nat × string → string with λ n, str. n ≤ # str |
| rev | buffer | pf | buffer × nat → buffer with λ buf, n. n ≤ # buf |
| rev | string | f | string → string |
| rev | buffer-inf | f | datalist → datalist |
| rev | buffer | f | buffer → buffer |
| rev | path | f | path → path |
| rmdup | string | f | string → string |
| rmdup | path | f | path → path |
| rmdup | buffer-inf | f | datalist → datalist |
| root | posix-base | v | directory-tree |
| sdi | vfs-abs | v | dir-entries |
| sdt | directory-tree-base | v | entries-tree |
| sdt0 | directory-tree-base | v | entries-tree |
| sdt1 | directory-tree-base | v | entries-tree |
| sdt2 | directory-tree-base | v | entries-tree |
| seekflag | seekflag | s | |
| some | buffer-option | f | buffer → buffer-opt |
| splice | buffer | f | buffer × nat × buffer × nat × nat → buffer |
| str | string | v | string |
| str-tree | directory-tree-base | v | stringdirectorytree |
| str0 | string | v | string |
| str1 | string | v | string |
| str2 | string | v | string |
| str3 | string | v | string |
| string | string | s | |
| stringdirectorytree | directory-tree-base | s | |
| strings | directory-tree-inst | v | stringset |
| strings0 | directory-tree-inst | v | stringset |
| strings1 | directory-tree-inst | v | stringset |
| strings2 | directory-tree-inst | v | stringset |
| stringset | directory-tree-inst | s | |
| subarray | buffer | pf | buffer × nat × nat → buffer with λ buf, m, n. m + n ≤ # buf |
| subdirs | afs-base | f | nat × dir-heap → stringset |
| sublist | buffer-inf | pf | nat × nat × datalist → datalist with λ n, m, dx. n + m ≤ # dx |
| sublist | string | pf | nat × nat × string → string with λ n, m, str. n + m ≤ # str |
| sublist | path | pf | nat × nat × path → path with λ n, m, p. n + m ≤ # p |
| tl | buffer-inf | pf | buffer-inf → buffer-inf with λ σ. σ ≠ [] |
| tree | directory-tree-base | v | directory-tree |
| tree0 | directory-tree-base | v | directory-tree |
| tree1 | directory-tree-base | v | directory-tree |
| tree2 | directory-tree-base | v | directory-tree |
| true | dir-heap | p | dir-heap |
| true | file-heap | p | file-heap |
| user | user | s | |
| user | user | v | user |
| valid-content | vfs-base | p | file-heap |
| valid-content | afs-base | p | nat × file-heap |
| valid-dentry | afs-base | p | nat × dentry × dir-heap × file-heap |
| valid-dentry | afs-base | p | dentry × dir-heap × file-heap |
| valid-dir-ino | afs-base | p | nat × dir-heap × file-heap |
| valid-dir-inode | afs-pre | p | inode × dir-heap × file-heap |
| valid-file-ino | afs-base | p | nat × dir-heap × file-heap |
| valid-file-inode | afs-pre | p | inode × dir-heap × file-heap |
| valid-ino | afs-base | p | nat × dir-heap × file-heap |
| valid-inode | afs-base | p | inode × dir-heap × file-heap |
| valid-negdentry | afs-base | p | nat × dentry × dir-heap × file-heap |
| valid-pagesize | afs-base | p | nat × nat × file-heap |
| valid-parent-ino | afs-base | p | nat × dir-heap × file-heap |
| valid-wb-inode | afs-pre | p | inode × dir-heap × file-heap |
| vfs_close# | vfs-asm | pr | nat × user × bool : error × open-files × dir-heap × file-heap (nondeterministic nonfunctional) |
| vfs_create# | vfs-asm | pr | path × metadata × user : error × dir-heap × file-heap × bool (nondeterministic nonfunctional) |
| vfs_format# | vfs-asm | pr | nat × bool × nat × metadata
: dir-heap × file-heap × bool
: open-files × nat × error (nondeterministic) |
| vfs_fsync# | vfs-asm | pr | path × bool × user × dir-heap × file-heap : bool : error (nondeterministic) |
| vfs_fsyncdir# | vfs-asm | pr | path × bool × user × dir-heap × file-heap : bool : error (nondeterministic) |
| vfs_link# | vfs-asm | pr | path × path × user : error × dir-heap × file-heap × bool (nondeterministic nonfunctional) |
| vfs_may_create# | vfs-asm | pr | nat × dentry × user × dir-heap × file-heap × bool : inode × error (nondeterministic nonfunctional) |
| vfs_may_delete# | vfs-asm | pr | nat × bool × user × dir-heap × file-heap × bool
: inode × dentry × inode × bool × error (nondeterministic nonfunctional) |
| vfs_may_delete_check# | vfs-asm | pr | nat × user × dir-heap × file-heap × bool
: inode × bool × dentry × inode × error (nondeterministic nonfunctional) |
| vfs_may_link# | vfs-asm | pr | nat × user × dir-heap × file-heap × bool : inode × dentry × error (nondeterministic nonfunctional) |
| vfs_may_lookup# | vfs-asm | pr | nat × user × dir-heap × file-heap × bool : inode × error (nondeterministic nonfunctional) |
| vfs_may_open# | vfs-asm | pr | nat × bool × file-mode × user × dir-heap × file-heap × bool
: inode × error (nondeterministic nonfunctional) |
| vfs_mkdir# | vfs-asm | pr | path × metadata × user : error × dir-heap × file-heap × bool (nondeterministic nonfunctional) |
| vfs_open# | vfs-asm | pr | path × file-mode × user × dir-heap × file-heap × bool
: nat × error × open-files × nat (nondeterministic nonfunctional) |
| vfs_put_inode# | vfs-asm | pr | inode × open-files × bool : error × dir-heap × file-heap (nonfunctional) |
| vfs_read# | vfs-asm | pr | nat × user × dir-heap × file-heap × bool
: buffer × nat × error × open-files (nondeterministic nonfunctional) |
| vfs_read_block# | vfs-asm | pr | nat × nat × inode × dir-heap × file-heap × bool
: buffer × nat × bool × error (nondeterministic nonfunctional) |
| vfs_read_loop# | vfs-asm | pr | nat × nat × inode × bool × dir-heap × file-heap × bool
: buffer × nat × error (nondeterministic nonfunctional) |
| vfs_readdir# | vfs-asm | pr | path × user × dir-heap × file-heap × bool : stringset × error (nondeterministic nonfunctional) |
| vfs_readmeta# | vfs-asm | pr | path × user × dir-heap × file-heap × bool
: metadata × nat × nat × error (nondeterministic nonfunctional) |
| vfs_recover# | vfs-asm | pr | bool : dir-heap × file-heap × bool : open-files × nat × error (nondeterministic) |
| vfs_rename# | vfs-asm | pr | path × path × user × open-files : error × dir-heap × file-heap × bool (nondeterministic nonfunctional) |
| vfs_rmdir# | vfs-asm | pr | path × user × open-files : error × dir-heap × file-heap × bool (nondeterministic nonfunctional) |
| vfs_seek# | vfs-asm | pr | nat × seekflag × user × dir-heap × file-heap × bool
: nat × error × open-files (nondeterministic nonfunctional) |
| vfs_sync# | vfs-asm | pr | dir-heap × file-heap : bool : error (nondeterministic) |
| vfs_truncate# | vfs-asm | pr | path × nat × user : error × dir-heap × file-heap × bool (nondeterministic nonfunctional) |
| vfs_unlink# | vfs-asm | pr | path × user × open-files : error × dir-heap × file-heap × bool (nondeterministic nonfunctional) |
| vfs_walk# | vfs-asm | pr | path × user × dir-heap × file-heap × bool : nat × error (nondeterministic nonfunctional) |
| vfs_write# | vfs-asm | pr | nat × buffer × user
: nat × error × open-files × dir-heap × file-heap × bool (nondeterministic nonfunctional) |
| vfs_write_block# | vfs-asm | pr | nat × inode × buffer × nat × dir-heap
: nat × bool × error × file-heap × bool (nondeterministic nonfunctional) |
| vfs_write_loop# | vfs-asm | pr | nat × inode × nat × buffer × dir-heap : nat × error × file-heap × bool (nondeterministic nonfunctional) |
| vfs_writemeta# | vfs-asm | pr | path × metadata × user : error × dir-heap × file-heap × bool (nondeterministic nonfunctional) |
| vfs_writepage# | vfs-asm | pr | inode × nat × buffer × nat × nat × nat × dir-heap
: error × file-heap × bool (nondeterministic nonfunctional) |
| whence | seekflag | v | seekflag |
| write-inv | vfs-contracts | p | nat × nat × buffer × nat × file-content × file-content |
| write-inv | vfs-contracts | p | nat × nat × inode × buffer × nat × dir-heap × file-heap × file-heap |
| zero | buffer | c | data |
| zero-cons | vfs-base | p | nat × file-heap |
| zero-cons | vfs-base | p | file-heap |
| zeropage | page | c | buffer |