| Symbol | Specification | Kind | Type |
|---|---|---|---|
| # . | store | f | store → nat |
| # . | set-basic | f | set → nat |
| . + . | nat-basic | f | nat × nat → nat |
| . ++ . | set-basic | f | set × elem → set |
| . +1 | nat-basic | f | nat → nat |
| . - . | nat | pf | nat × nat → nat with λ n, m. n ≥ m |
| . -- . | store | f | store × elem → store |
| . -- . | set-union | f | set × elem → set |
| . -1 | nat-basic | pf | nat → nat with λ n. n ≠ 0 |
| . .butmax | oset | pf | set → set with λ s. s ≠ ∅ |
| . .butmin | oset | pf | set → set with λ s. s ≠ ∅ |
| . .butmin | ostore | pf | store → store with λ st. st ≠ ∅ |
| . .keys | ostore | f | store → set |
| . .max | oset | pf | set → elem with λ s. s ≠ ∅ |
| . .min | oset | pf | set → elem with λ s. s ≠ ∅ |
| . .min | ostore | pf | store → elem with λ st. st ≠ ∅ |
| . < . | oelem | p | elem × elem |
| . < . | nat-basic | p | nat × nat |
| . < . | oset | p | elem × set |
| . < . | oset | p | set × elem |
| . > . | nat | p | nat × nat |
| . [ . ] | store | f | store × elem × data → store |
| . [ . ] | store | pf | store × elem → data with λ st, a. a ∈ st |
| . \ . | set-union | f | set × set → set |
| . ∈ . | store | p | elem × store |
| . ∈ . | set-basic | p | elem × set |
| . ∩ . | set-union | f | set × set → set |
| . ∪ . | set-union | f | set × set → set |
| . ≤ . | nat | p | nat × nat |
| . ≥ . | nat | p | nat × nat |
| . ⊆ . | store | p | store × store |
| . ⊆ . | set-basic | p | set × set |
| { . } | set-union | f | elem → set |
| ∅ | store | c | store |
| ∅ | set-basic | c | set |
| data | data | s | |
| elem | elem | s | |
| nat | nat-basic | s | |
| set | set-basic | s | |
| st | ostore | v | store |
| store | store | s |