| 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 | (('a → bool) → 'a → bool) × nat → ('a → bool) → 'a → bool |
| . ≤ . | nat | p | nat × nat |
| . ≥ . | nat | p | nat × nat |
| . ⊆ . | monotone-set-fixpoint | p | ('a → Type(bool)) × ('a → Type(bool)) |
| μ | monotone-set-fixpoint | pf | (('a → bool) → 'a → bool) → 'a → bool with λ f. λ x. monotone(f) |
| ν | monotone-set-fixpoint | pf | (('a → bool) → 'a → bool) → 'a → bool with λ f. λ x. monotone(f) |
| IS | monotone-set-fixpoint | f | (('a → bool) → bool) → 'a → bool |
| UN | monotone-set-fixpoint | f | (('a → bool) → bool) → 'a → bool |
| chain | approx-fixpoint | p | (nat → Type('a->bool)) |
| chn | approx-fixpoint | v | nat → 'a → bool |
| compl | monotone-set-fixpoint | f | (('a → bool) → 'a → bool) → ('a → bool) → 'a → bool |
| cont | approx-fixpoint | p | (('a → Type(bool)) → Type('a->bool)) |
| f | approx-fixpoint | v | ('a → bool) → 'a → bool |
| iset | approx-fixpoint | v | 'a → bool |
| m | approx-fixpoint | v | nat |
| monotone | monotone-set-fixpoint | p | (('a → Type(bool)) → Type('a->bool)) |
| n | approx-fixpoint | v | nat |
| nat | nat-basic | s | |
| x | approx-fixpoint | v | 'a |