| Symbol | Specification | Kind | Type |
|---|
| # . | list-data | f | list('a) → nat |
| # . | stream | f | stream('a) → natinf |
| . ' | list | f | 'a → list('a) |
| . + . | nat-basic | f | nat × nat → nat |
| . + . | list-data | f | 'a × list('a) → list('a) |
| . + . | list | f | list('a) × list('a) → list('a) |
| . + . | list | f | list('a) × 'a → list('a) |
| . + . | nat-inf | f | natinf × natinf → natinf |
| . + . | stream | f | 'a × stream('a) → stream('a) |
| . + . | stream | f | stream('a) × stream('a) → stream('a) |
| . ++ . | list-dup | f | list('a) × 'a → list('a) |
| . +1 | nat-basic | f | nat → nat |
| . +2 . | list | f | 'a × 'a → list('a) |
| . - . | nat | pf | nat × nat → nat with λ n, m. n ≥ m |
| . -1 | nat-basic | pf | nat → nat with λ n. n ≠ 0 |
| . -1l . | list-del | f | list('a) × 'a → list('a) |
| . -l . | list-del | f | list('a) × 'a → list('a) |
| . -p . | list-del | f | list('a) × nat → list('a) |
| . .butlast | list-last | pf | list('a) → list('a) with λ x. x ≠ [] |
| . .f | stream-basic | pf | stream('a) → nat → 'a with λ σ. λ m. ∃ nf. σ = ⌜nf⌝ |
| . .foldLeft ( . ) | list | f | list('a) × 'b × ('b × 'a → 'b) → 'b |
| . .head | list-data | pf | list('a) → 'a with λ x. x ≠ [] |
| . .l | stream-basic | pf | stream('a) → list('a) with λ σ. finp(σ) |
| . .last | list-last | pf | list('a) → 'a with λ x. x ≠ [] |
| . .n | nat-inf | pf | natinf → nat with λ n∞. n∞ ≠ ∞ |
| . .tail | list-data | pf | list('a) → list('a) with λ x. x ≠ [] |
| . < . | nat-basic | p | nat × nat |
| . < . | list-data | p | list('a) × list('a) |
| . < . | nat-inf | p | natinf × natinf |
| . > . | nat | p | nat × nat |
| . [ . := . ] | list-getput | pf | list('a) × nat × 'a → list('a) with λ x, n, a. n < # x |
| . [ . := . ] | stream | pf | stream('a) × nat × 'a → stream('a) with λ σ, n, a. finp(σ) → ⌜n⌝ < # σ |
| . [ . ] | list-getput | pf | list('a) × nat → 'a with λ x, n. n < # x |
| . [ . ] | stream | pf | stream('a) × nat → 'a with λ σ, n. finp(σ) → ⌜n⌝ < # σ |
| . ∈ . | list | p | 'a × list('a) |
| . ≤ . | nat | p | nat × nat |
| . ≥ . | nat | p | nat × nat |
| . ⊑ . | list-last | p | list('a) × list('a) |
| . ⊑ . | stream | p | stream('a) × stream('a) |
| . ⊒ . | list-last | p | list('a) × list('a) |
| . from . | stream | f | (nat → 'a) × nat → nat → 'a |
| . from . | stream | pf | stream('a) × nat → stream('a) with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ |
| . from . | stream | pf | list('a) × nat → list('a) with λ x, n. n ≤ # x |
| . map . | list | f | list('a) × ('a → 'b) → list('b) |
| . to . | stream | f | (nat → 'a) × nat → list('a) |
| . to . | stream | pf | stream('a) × nat → list('a) with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ |
| . to . | stream | pf | list('a) × nat → list('a) with λ x, n. n ≤ # x |
| . to∞ . | stream | pf | stream('a) × natinf → stream('a) with λ σ, n∞. finp(σ) → n∞ < # σ ∨ n∞ = # σ |
| [] | list-data | c | list('a) |
| [] | stream | c | stream('a) |
| σf | stut-mon | v | nat → stream('a) |
| ∞ | nat-inf | c | natinf |
| ⌜ . ⌝ | stream-basic | f | list('a) → stream('a) |
| ⌜ . ⌝ | stream-basic | f | (nat → 'a) → stream('a) |
| ⌜ . ⌝ | nat-inf | f | nat → natinf |
| butlastn | list-last | pf | nat × list('a) → list('a) with λ n, x. n ≤ # x |
| cnt | mon-lim-filter-count | f | 'a × stream('a) → natinf |
| disj | list-dup | p | list('a) × list('a) |
| dups | list-dup | p | list('a) |
| fillfirst | list-last | f | nat × 'a × list('a) → list('a) |
| filter | mon-lim-filter-count | f | ('a → bool) × stream('a) → stream('a) |
| finp | stream-basic | p | stream('a) |
| firstn | list-del | pf | nat × list('a) → list('a) with λ n, x. n ≤ # x |
| frome | list-del | f | list('a) × 'a → list('a) |
| hd | stream | pf | stream('a) → 'a with λ σ. σ ≠ [] |
| inv | stut-mon | pf | stream(nat) → stream(nat) with λ nσ. stutf(nσ) |
| lastn | list-del | pf | nat × list('a) → list('a) with λ n, x. n ≤ # x |
| lastoc | mon-lim-filter-count | f | 'a × stream('a) → natinf |
| leninv | stut-mon | f | stream(nat) → natinf |
| lim | mon-lim-filter-count | pf | (nat → stream('a)) → stream('a) with λ σf. mon(σf) |
| list | list-data | s | |
| m | stut-mon | v | nat |
| max∞ | stut-mon | f | (nat → bool) → natinf |
| min | nat-inf | f | natinf × natinf → natinf |
| min | stut-mon | pf | stream(nat) × nat → nat with λ nσ, n. mon<(nσ) |
| mklist | list-last | f | 'a × nat → list('a) |
| mon | mon-lim-filter-count | p | (nat → Type(stream('a))) |
| mon< | stut-mon | p | stream(nat) |
| mon≤ | stut-mon | p | stream(nat) |
| n | stut-mon | v | nat |
| nσ | stut-mon | v | stream(nat) |
| nσf | stut-mon | v | nat → stream(nat) |
| n∞ | stut-mon | v | natinf |
| nat | nat-basic | s | |
| natinf | nat-inf | s | |
| nf | stut-mon | v | nat → nat |
| nl | stut-mon | v | list(nat) |
| nnf | stut-mon | v | nat → nat |
| np | stut-mon | v | nat → bool |
| p | stut-mon | v | 'a → bool |
| pos | list-del | f | 'a × list('a) → nat |
| rem | mon-lim-filter-count | f | stream('a) × (nat → bool) → stream('a) |
| restn | list-del | pf | nat × list('a) → list('a) with λ n, x. n ≤ # x |
| rev | list-last | f | list('a) → list('a) |
| rmdup | list-dup | f | list('a) → list('a) |
| stream | stream-basic | s | |
| stutf | stut-mon | p | stream(nat) |
| sublist | list-del | pf | nat × nat × list('a) → list('a) with λ n, m, x. n + m ≤ # x |
| tl | stream | pf | stream('a) → stream('a) with λ σ. σ ≠ [] |