| Symbol | Specification | Kind | Type |
|---|---|---|---|
| . + . | nat-basic | f | Nat × Nat → Nat |
| . +1 | nat-basic | f | Nat → Nat |
| . - . | nat | pf | Nat × Nat → Nat with λ n, m. n ≥ m |
| . -1 | nat-basic | pf | Nat → Nat with λ n. n ≠ 0 |
| . < . | nat-basic | p | Nat × Nat |
| . > . | nat | p | Nat × Nat |
| . ^ . | approx-fixpoint | f | ((Elem → Bool) → Elem → Bool) × Nat → (Elem → Bool) → Elem → Bool |
| . ≤ . | nat | p | Nat × Nat |
| . ≥ . | nat | p | Nat × Nat |
| . ⊆ . | monotone-set-fixpoint | p | (Elem → Bool) × (Elem → Bool) |
| μ | monotone-set-fixpoint | pf | ((Elem → Bool) → Elem → Bool) → Elem → Bool with λ f. λ x. monotone(f) |
| ν | monotone-set-fixpoint | pf | ((Elem → Bool) → Elem → Bool) → Elem → Bool with λ f. λ x. monotone(f) |
| ∅ | approx-fixpoint | p | Elem |
| Elem | setelems | s | |
| IS | monotone-set-fixpoint | f | ((Elem → Bool) → Bool) → Elem → Bool |
| Nat | nat-basic | s | |
| UN | monotone-set-fixpoint | f | ((Elem → Bool) → Bool) → Elem → Bool |
| chain | approx-fixpoint | p | (Nat → (Elem → Bool)) |
| chn | approx-fixpoint | v | Nat → Elem → Bool |
| compl | monotone-set-fixpoint | f | ((Elem → Bool) → Elem → Bool) → (Elem → Bool) → Elem → Bool |
| cont | approx-fixpoint | p | ((Elem → Bool) → (Elem → Bool)) |
| f | approx-fixpoint | v | (Elem → Bool) → Elem → Bool |
| iset | approx-fixpoint | v | Elem → Bool |
| m | approx-fixpoint | v | Nat |
| monotone | monotone-set-fixpoint | p | ((Elem → Bool) → (Elem → Bool)) |
| n | approx-fixpoint | v | Nat |
| x | approx-fixpoint | v | Elem |