| Symbol | Specification | Kind | Type |
|---|
| # . | string | f | string → nat |
| # . | alink-set | f | alink-set → nat |
| # . | dir-entries | f | dir-entries → nat |
| # . | path | f | path → nat |
| # . | dir-entries | f | stringset → nat |
| # . | file-heap | f | file-heap → nat |
| # . | dir-heap | f | nat-set → nat |
| # . | file-content | f | file-content → nat |
| # . | dir-heap | f | dir-heap → nat |
| # . | buffer | f | buffer → nat |
| . % . | nat-div | pf | nat × nat → nat with λ n, m. m ≠ 0 |
| . ' | 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 |
| . + . | string | f | char × string → string |
| . + . | path | f | path × string → path |
| . + . | string | f | string × string → string |
| . + . | path | f | path × path → path |
| . + . | string | f | string × char → string |
| . + . | path | f | string × path → path |
| . + . | buffer | f | buffer × buffer → buffer |
| . ++ . | alink-set | f | alink-set × alink → alink-set |
| . ++ . | string | f | string × char → string |
| . ++ . | path | f | path × string → path |
| . ++ . | dir-entries | f | stringset × string → stringset |
| . ++ . | file-heap | f | file-heap × nat → file-heap |
| . ++ . | dir-heap | f | nat-set × nat → nat-set |
| . ++ . | dir-heap | f | dir-heap × nat → dir-heap |
| . +1 | nat-basic | f | nat → nat |
| . +2 . | string | f | char × char → string |
| . +2 . | path | f | string × string → path |
| . - . | 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 |
| . -- . | alink-set | f | alink-set × alink → alink-set |
| . -- . | dir-entries | f | stringset × string → stringset |
| . -- . | dir-heap | f | nat-set × nat → nat-set |
| . -- . | file-heap | f | file-heap × nat → file-heap |
| . -- . | dir-heap | f | dir-heap × nat → dir-heap |
| . -- . | file-content | f | file-content × nat → file-content |
| . -> . | 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-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 . | path | f | path × string → path |
| . -l . | string | f | string × char → string |
| . -l . | path | f | path × string → path |
| . -p . | string | f | string × nat → string |
| . -p . | path | f | path × nat → path |
| . .butlast | string | pf | string → string with λ str. str ≠ "" |
| . .char1 | string | pf | string → char with λ str. str ≠ "" |
| . .content | abstract-file | f | abstract-file → file-content |
| . .content:= . | abstract-file | f | abstract-file × file-content → abstract-file |
| . .dentry? | dentry | p | dentry |
| . .directory | inode | p | inode |
| . .directory:= . | inode | f | inode × bool → inode |
| . .entries | abstract-dir | f | abstract-dir → dir-entries |
| . .entries:= . | abstract-dir | f | abstract-dir × dir-entries → abstract-dir |
| . .head | path | pf | path → string with λ p. p ≠ ε |
| . .ino | dentry | pf | dentry → nat with λ dent. dent.dentry? |
| . .ino | inode | f | inode → nat |
| . .ino:= . | dentry | pf | dentry × nat → dentry with λ dent, m. dent.dentry? |
| . .ino:= . | inode | f | inode × nat → inode |
| . .last | path | pf | path → string with λ p. p ≠ ε |
| . .last | string | pf | string → char with λ str. str ≠ "" |
| . .meta | abstract-dir | f | abstract-dir → metadata |
| . .meta | inode | f | inode → metadata |
| . .meta | abstract-file | f | abstract-file → metadata |
| . .meta:= . | abstract-dir | f | abstract-dir × metadata → abstract-dir |
| . .meta:= . | abstract-file | f | abstract-file × metadata → abstract-file |
| . .meta:= . | inode | f | inode × metadata → inode |
| . .name | dentry | f | dentry → string |
| . .name | alink | f | alink → string |
| . .name:= . | dentry | f | dentry × string → dentry |
| . .negdentry? | dentry | p | dentry |
| . .nlink | abstract-dir | f | abstract-dir → nat |
| . .nlink | abstract-file | f | abstract-file → nat |
| . .nlink | inode | f | inode → nat |
| . .nlink:= . | inode | f | inode × nat → inode |
| . .nlink:= . | abstract-dir | f | abstract-dir × nat → abstract-dir |
| . .nlink:= . | abstract-file | f | abstract-file × nat → abstract-file |
| . .nsubdirs | abstract-dir | f | abstract-dir → nat |
| . .nsubdirs | inode | f | inode → nat |
| . .nsubdirs:= . | inode | f | inode × nat → inode |
| . .nsubdirs:= . | abstract-dir | f | abstract-dir × nat → abstract-dir |
| . .pino | alink | f | alink → nat |
| . .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:= . | inode | f | inode × nat → inode |
| . .size:= . | abstract-file | f | abstract-file × nat → abstract-file |
| . .tail | path | pf | path → path with λ p. p ≠ ε |
| . / . | nat-div | pf | nat × nat → nat with λ n, m. m ≠ 0 |
| . < . | path | p | path × path |
| . < . | nat-basic | p | nat × 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 |
| . > . | nat | p | nat × nat |
| . [ . ] | path | pf | path × nat × string → path with λ p, n, str. n < # p |
| . [ . ] | path | pf | path × nat → string with λ p, n. n < # p |
| . [ . ] | dir-entries | f | dir-entries × string × nat → dir-entries |
| . [ . ] | file-content | pf | file-content × nat → buffer with λ content, n. n ∈ content |
| . [ . ] | buffer | pf | buffer × nat × data → buffer with λ buf, n, d. n < # buf |
| . [ . ] | buffer | pf | buffer × nat → data with λ buf, n. n < # buf |
| . [ . ] | dir-entries | pf | dir-entries × string → nat with λ entries, str. str ∈ entries |
| . [ . ] | string | pf | string × nat × char → string with λ str, n, char. n < # str |
| . [ . ] | dir-heap | f | dir-heap × nat → abstract-dir |
| . [ . ] | string | pf | string × nat → char with λ str, n. n < # str |
| . [ . ] | dir-heap | f | dir-heap × nat × abstract-dir → dir-heap |
| . [ . ] | file-heap | f | file-heap × nat × abstract-file → file-heap |
| . [ . ] | file-content | f | file-content × nat × buffer → file-content |
| . [ . ] | file-heap | f | file-heap × nat → abstract-file |
| . \ . | dir-entries | f | stringset × stringset → stringset |
| . \ . | dir-entries | f | dir-entries × stringset → dir-entries |
| . \ . | alink-set | f | alink-set × alink-set → alink-set |
| . \ . | file-heap | f | file-heap × file-heap → file-heap |
| . \ . | dir-heap | f | nat-set × nat-set → nat-set |
| . \ . | file-heap | f | file-heap × nat-set → file-heap |
| . \ . | dir-heap | f | dir-heap × nat-set → dir-heap |
| . \ . | dir-heap | f | dir-heap × dir-heap → dir-heap |
| . | . | dir-entries | f | dir-entries × stringset → dir-entries |
| . ∈ . | alink-set | p | alink × alink-set |
| . ∈ . | string | p | char × string |
| . ∈ . | path | p | string × path |
| . ∈ . | dir-entries | p | string × dir-entries |
| . ∈ . | file-heap | p | nat × file-heap |
| . ∈ . | dir-entries | p | string × stringset |
| . ∈ . | file-content | p | nat × file-content |
| . ∈ . | dir-entries | p | nat × dir-entries |
| . ∈ . | buffer | p | data × buffer |
| . ∈ . | dir-heap | p | nat × nat-set |
| . ∈ . | dir-heap | p | nat × dir-heap |
| . ∩ . | dir-entries | f | stringset × stringset → stringset |
| . ∩ . | alink-set | f | alink-set × alink-set → alink-set |
| . ∩ . | dir-heap | f | nat-set × nat-set → nat-set |
| . ∪ . | dir-entries | f | stringset × stringset → stringset |
| . ∪ . | dir-heap | f | nat-set × nat-set → nat-set |
| . ∪ . | dir-heap | f | dir-heap × dir-heap → dir-heap |
| . ∪ . | alink-set | f | alink-set × alink-set → alink-set |
| . ∪ . | file-heap | f | file-heap × file-heap → file-heap |
| . ≡ . | file-heap | p | file-heap × file-heap |
| . ≡ . | dir-heap | p | dir-heap × dir-heap |
| . ≤ . | nat | p | nat × nat |
| . ≥ . | nat | p | nat × nat |
| . ⊆ . | alink-set | p | alink-set × alink-set |
| . ⊆ . | file-heap | p | (file-heap → bool) × (file-heap → bool) |
| . ⊆ . | dir-entries | p | dir-entries × dir-entries |
| . ⊆ . | file-heap | p | file-heap × file-heap |
| . ⊆ . | dir-entries | p | stringset × stringset |
| . ⊆ . | file-content | p | file-content × file-content |
| . ⊆ . | dir-heap | p | nat-set × nat-set |
| . ⊆ . | dir-heap | p | (dir-heap → bool) × (dir-heap → bool) |
| . ⊆ . | dir-heap | p | dir-heap × dir-heap |
| . ⊑ . | string | p | string × string |
| . ⊑ . | path | p | path × path |
| . ⊒ . | path | p | path × path |
| . ⊒ . | string | p | string × string |
| . ⊕ . | dir-entries | f | dir-entries × dir-entries → dir-entries |
| . ⊗ . | 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 |
| . 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 |
| . upto . | afs-base | f | file-content × nat → file-content |
| _∃ . | dir-heap | f | (nat → dir-heap → bool) → dir-heap → bool |
| _∃ . | file-heap | f | (abstract-file → file-heap → bool) → file-heap → bool |
| _∃ . | dir-heap | f | (nat × nat → dir-heap → bool) → dir-heap → bool |
| _∃ . | file-heap | f | (nat × nat → file-heap → bool) → file-heap → bool |
| _∃ . | dir-heap | f | (abstract-dir → dir-heap → bool) → dir-heap → bool |
| _∃ . | file-heap | f | (nat → file-heap → bool) → file-heap → bool |
| { . } | dir-entries | f | string → stringset |
| { . } | alink-set | f | alink → alink-set |
| { . } | dir-heap | f | nat → nat-set |
| { . } | file-heap | f | file-heap → file-heap → bool |
| { . } | dir-heap | f | dir-heap → dir-heap → bool |
| ε | path | c | path |
| ∅ | dir-entries | c | dir-entries |
| ∅ | dir-entries | c | stringset |
| ∅ | dir-heap | c | nat-set |
| ∅ | dir-heap | c | dir-heap |
| ∅ | file-content | c | file-content |
| ∅ | file-heap | c | file-heap |
| ∅ | alink-set | c | alink-set |
| ⊏ | string | p | string × string |
| ⌜ . ⌝ | dir-heap | f | bool → dir-heap → bool |
| ⌜ . ⌝ | file-heap | f | bool → file-heap → bool |
| 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 |
| 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 |
| ROOT_INO | root-ino | c | nat |
| True | separation | p | bool |
| VFS_PAGE_SIZE | page | c | nat |
| 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 |
| alink | alink | s | |
| alink | alink | v | alink |
| alink-set | alink-set | s | |
| alink0 | alink-set | v | alink |
| alink1 | alink-set | v | alink |
| boolvar | inode | v | bool |
| boolvar0 | inode | v | bool |
| buf | buffer | v | buffer |
| buf0 | buffer | v | buffer |
| buf1 | buffer | v | buffer |
| buf2 | buffer | v | buffer |
| buffer | buffer | s | |
| 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 |
| char | char | s | |
| char | char | v | char |
| char0 | char | v | char |
| char1 | char | v | char |
| char2 | char | v | char |
| 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 |
| d | data | v | data |
| d0 | data | v | data |
| d1 | data | v | data |
| d2 | data | v | data |
| data | data | s | |
| 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 | |
| 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 | path | p | path × path |
| disj | string | p | string × string |
| dom . | dir-entries | f | dir-entries → stringset |
| dups | path | p | path |
| dups | string | p | string |
| emp | file-heap | p | file-heap |
| emp | dir-heap | p | dir-heap |
| empty | buffer | c | data |
| entries | dir-entries | v | dir-entries |
| entries0 | dir-entries | v | dir-entries |
| entries1 | dir-entries | v | dir-entries |
| entries2 | dir-entries | v | dir-entries |
| false | dir-heap | p | dir-heap |
| false | file-heap | p | file-heap |
| file-content | file-content | s | |
| file-heap | file-heap | s | |
| 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 |
| firstn | path | pf | nat × path → path with λ n, p. n ≤ # p |
| firstn | string | pf | nat × string → string with λ n, str. n ≤ # str |
| frome | string | f | string × char → string |
| frome | path | f | path × string → path |
| getinode | afs-base | f | nat × dir-heap × file-heap → inode |
| 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 |
| ispath | afs-base | p | path × nat × nat × dir-heap × file-heap |
| ispath | afs-base | p | path × nat × dir-heap × file-heap |
| 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 | 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 |
| 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 |
| md | metadata | v | metadata |
| md0 | inode | v | metadata |
| meta | afs-base | f | path × nat × dir-heap × file-heap → metadata |
| metadata | metadata | s | |
| 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 |
| mkfile | abstract-file | f | nat × metadata × nat × file-content → abstract-file |
| mkinode | inode | f | nat × metadata × bool × nat × nat × nat → inode |
| mklink | alink | f | nat × string → alink |
| mklist | string | f | char × nat → string |
| mkpath | path | f | string × nat → path |
| mkzbuf | buffer | f | nat → buffer |
| n | nat-basic | v | nat |
| n0 | nat-basic | v | nat |
| n1 | nat-basic | v | nat |
| n2 | file-content | v | nat |
| n3 | file-content | v | nat |
| n4 | file-content | 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 | dir-heap | s | |
| negdentry | dentry | f | string → dentry |
| nnD | dir-heap | v | nat × nat → dir-heap → bool |
| nnF | file-heap | v | nat × nat → file-heap → bool |
| not . | dir-heap | f | (dir-heap → bool) → dir-heap → bool |
| not . | file-heap | f | (file-heap → bool) → file-heap → bool |
| ns | dir-heap | v | nat-set |
| ns0 | dir-heap | v | nat-set |
| ns1 | dir-heap | v | nat-set |
| ns2 | dir-heap | v | nat-set |
| orphans | afs-base | f | dir-heap × file-heap → nat-set |
| p | path | v | path |
| p' | path | v | path |
| p_ino | afs-base | v | nat |
| p0 | path | v | path |
| p1 | path | v | path |
| parent | path | pf | path → path with λ p. p ≠ ε |
| path | path | s | |
| pos | string | f | char × string → nat |
| pos | path | f | string × path → nat |
| precise | file-heap | p | (file-heap → bool) |
| precise | dir-heap | p | (dir-heap → bool) |
| q | path | v | path |
| range= | buffer | p | buffer × nat × buffer × nat × nat |
| resize | buffer | f | buffer × nat → buffer |
| 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 | path | f | path → path |
| rev | buffer | f | buffer → buffer |
| rmdup | string | f | string → string |
| rmdup | path | f | path → path |
| splice | buffer | f | buffer × nat × buffer × nat × nat → buffer |
| str | string | v | string |
| str0 | string | v | string |
| str1 | string | v | string |
| str2 | string | v | string |
| str3 | string | v | string |
| string | string | s | |
| strings | dir-entries | v | stringset |
| strings0 | dir-entries | v | stringset |
| strings1 | dir-entries | v | stringset |
| strings2 | dir-entries | v | stringset |
| stringset | dir-entries | 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 | path | pf | nat × nat × path → path with λ n, m, p. n + m ≤ # p |
| sublist | string | pf | nat × nat × string → string with λ n, m, str. n + m ≤ # str |
| true | dir-heap | p | dir-heap |
| true | file-heap | p | file-heap |
| valid-content | afs-base | p | nat × file-heap |
| valid-dentry | afs-base | p | dentry × dir-heap × file-heap |
| valid-dentry | afs-base | p | nat × dentry × dir-heap × file-heap |
| valid-dir-ino | afs-base | p | nat × dir-heap × file-heap |
| valid-file-ino | afs-base | p | nat × 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 |
| zero | buffer | c | data |
| zeropage | page | c | buffer |