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sync spec & code (#107)

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* sync spec & code

* move primitives (merkletree) into the backend

* comment on the ops spec and link to issue #108

* typo

* fix github-ci mdbook-publish pages
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33
book/src/statements.md
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@ -18,28 +18,29 @@ The POD system has several builtin statements. These statements are associated t
### Backend statements
<font color="red">TODO: update table of backend statements </font>
A statement is a code (or, in the frontend, string identifier) followed by 0 or more arguments. These arguments may consist of up to three anchored keys and up to one POD value.
The following table summarises the natively-supported statements, where we write `value_of(ak)` for 'the value anchored key `ak` maps to', which is of type `PODValue`, and `key_of(ak)` for the key part of `ak`:
| Code | Identifier | Args | Meaning |
|------|-------------|---------------------|-------------------------------------------------------------------|
| 0 | `None` | | no statement (useful for padding) |
| 1 | `ValueOf` | `ak`, `value` | `value_of(ak) = value` |
| 2 | `Eq` | `ak1`, `ak2` | `value_of(ak1) = value_of(ak2)` |
| 3 | `NEq` | `ak1`, `ak2` | `value_of(ak1) != value_of(ak2)` |
| 4 | `Gt` | `ak1`, `ak2` | `value_of(ak1) > value_of(ak2)` |
| 5 | `LEq` | `ak1`, `ak2` | `value_of(ak1) <= value_of(ak2)` |
| 6 | `Contains` | `ak1`, `ak2` | `(key_of(ak2), value_of(ak2)) ∈ value_of(ak1)` (Merkle inclusion) |
| 7 | `Sintains` | `ak1`, `ak2` | `(key_of(ak2), value_of(ak2)) ∉ value_of(ak1)` (Merkle exclusion) |
| 8 | `SumOf` | `ak1`, `ak2`, `ak3` | `value_of(ak1) = value_of(ak2) + value_of(ak3)` |
| 9 | `ProductOf` | `ak1`, `ak2`, `ak3` | `value_of(ak1) = value_of(ak2) * value_of(ak3)` |
| 10 | `MaxOf` | `ak1`, `ak2`, `ak3` | `value_of(ak1) = max(value_of(ak2), value_of(ak3))` |
| Code | Identifier | Args | Meaning |
|------|---------------|---------------------|-------------------------------------------------------------------|
| 0 | `None` | | no statement (useful for padding) |
| 1 | `ValueOf` | `ak`, `value` | `value_of(ak) = value` |
| 2 | `Eq` | `ak1`, `ak2` | `value_of(ak1) = value_of(ak2)` |
| 3 | `NEq` | `ak1`, `ak2` | `value_of(ak1) != value_of(ak2)` |
| 4 | `Gt` | `ak1`, `ak2` | `value_of(ak1) > value_of(ak2)` |
| 5 | `LEq` | `ak1`, `ak2` | `value_of(ak1) <= value_of(ak2)` |
| 6 | `Contains` | `ak1`, `ak2` | `(key_of(ak2), value_of(ak2)) ∈ value_of(ak1)` (Merkle inclusion) |
| 7 | `NotContains` | `ak1`, `ak2` | `(key_of(ak2), value_of(ak2)) ∉ value_of(ak1)` (Merkle exclusion) |
| 8 | `SumOf` | `ak1`, `ak2`, `ak3` | `value_of(ak1) = value_of(ak2) + value_of(ak3)` |
| 9 | `ProductOf` | `ak1`, `ak2`, `ak3` | `value_of(ak1) = value_of(ak2) * value_of(ak3)` |
| 10 | `MaxOf` | `ak1`, `ak2`, `ak3` | `value_of(ak1) = max(value_of(ak2), value_of(ak3))` |
### Frontend statements
<span style="color:red">TODO: Current implementation frontend Statements reuse the middleware Statements, which:</span><br>
<span style="color:red">- 1: GEq & LEq don't appear in the frontend impl</span><br>
<span style="color:red">- 2: frontend impl has Contains & NotContains, which don't appear at the following block</span>
```
ValueOf(key: AnchoredKey, value: ScalarOrVec)
@ -150,4 +151,4 @@ ecdsa_priv_to_pub_of(A.pubkey, B.privkey)
[^builtin]: <font color="red">TODO</font> List of built-in statements is not yet complete.
[^fillsum]: <font color="red">TODO</font> Does sum mean x+y = z or x = y+z?
[^fillsum]: <font color="red">TODO</font> Does sum mean x+y = z or x = y+z?