| Symbol | Specification | Kind | Type |
|---|---|---|---|
| # . | set-basic | f | Set[A] → Nat |
| . + . | nat-basic | f | Nat × Nat → Nat |
| . ++ . | set-basic | f | Set[A] × A → Set[A] |
| . +1 | nat-basic | f | Nat → Nat |
| . - . | nat | pf | Nat × Nat → Nat with λ n, m. n ≥ m |
| . -- . | set-union | f | Set[A] × A → Set[A] |
| . -1 | nat-basic | pf | Nat → Nat with λ n. n ≠ 0 |
| . < . | nat-basic | p | Nat × Nat |
| . > . | nat | p | Nat × Nat |
| . \ . | set-union | f | Set[A] × Set[A] → Set[A] |
| . ^* | relops | f | (A × A → Bool) → A × A → Bool |
| . ^-1 | relops | f | (A × B → Bool) → B × A → Bool |
| . ∈ . | set-basic | p | 'A × Set('A) |
| . ∩ . | set-union | f | Set[A] × Set[A] → Set[A] |
| . ∪ . | set-union | f | Set[A] × Set[A] → Set[A] |
| . ≤ . | nat | p | Nat × Nat |
| . ≥ . | nat | p | Nat × Nat |
| . ⊆ . | set-basic | p | Set('A) × Set('A) |
| . exists ( . ) | set-union | p | Set('A) × ('A → Bool) |
| . filter ( . ) | set-union | f | Set[A] × (A → Bool) → Set[A] |
| . forall ( . ) | set-union | p | Set('A) × ('A → Bool) |
| . map ( . ) | set-union | f | Set[A] × (A → B) → Set[B] |
| . o . | relops | f | (A × B → Bool) × (B × C → Bool) → A × C → Bool |
| . toFun | relops | pf | (A × B → Bool) → A → B with λ rel. λ a. funp(rel) |
| { . } | set-union | f | A → Set[A] |
| ∅ | set-basic | c | Set[A] |
| Nat | nat-basic | s | |
| Ref | polyref | s | |
| Set | set-basic | s | |
| cod . | relops | f | (A × B → Bool) → B → Bool |
| disjoint | set-union | p | Set('A) × Set('A) |
| dom . | relops | f | (A × B → Bool) → A → Bool |
| funp | relops | p | ('A × 'B → Bool) |
| inj | relops | p | ('A × 'B → Bool) |
| null | polyref | c | Ref[A] |
| pfunp | relops | p | ('A × 'B → Bool) |
| r | reachable | v | Ref[A] |
| reach | reachable | f | Ref[A] × (Ref[A] × Ref[A] → Bool) → Set[Ref[A]] |
| rrp | reachable | v | Ref[A] × Ref[A] → Bool |
| rtc | relops | f | Nat × (A × A → Bool) → A × A → Bool |
| surj | relops | p | ('A × 'B → Bool) |
| total | relops | p | ('A × 'B → Bool) |