PureQL Specification

PureQL is a JSON-based declarative query language for relational data. Queries are plain JSON objects validated against a JSON Schema, making them easy to generate programmatically, serialize, transmit, and validate without a parser.

Quick Reference

Property	Required	Description
`from`	yes	Entity (table) to query from, with optional alias
`select`	yes	Array of expressions to return
`where`	no	Boolean filter applied before grouping
`joins`	no	Array of join clauses
`groupBy`	no	Fields to group rows by
`having`	no	Boolean filter applied after grouping
`orderBy`	no	Fields to order results by
`pagination`	no	`skip` and `take` for paging
`distinct`	no	When `true`, deduplicate result rows (default: `false`)

Type System

Scalar types

Type name	JSON representation
`string`	`"name": "string"`
`number`	`"name": "number"`
`boolean`	`"name": "boolean"`
`null`	`"name": "null"`
`date`	`"name": "date"` — ISO 8601 date string
`time`	`"name": "time"` — ISO 8601 time string
`datetime`	`"name": "datetime"` — ISO 8601 date-time string
`uuid`	`"name": "uuid"` — UUID string

Array types

Each scalar type has a corresponding array variant: stringArray, numberArray, booleanArray, nullArray, dateArray, timeArray, datetimeArray, uuidArray.

Core Concepts

Field references

A field reference selects a column from an entity. The entity value should match the entity name (or from alias). Fields are typed using the scalar type name.

{ "entity": "users", "field": "email", "type": { "name": "string" } }

Fields carry their type as an array type in the schema — they represent a column of values. Use them in select, groupBy, orderBy, as operands of per-row predicates (eachEqual, eachGreaterThan, etc.), and as arguments to aggregate functions.

Scalars

A scalar is a literal constant value embedded in the query.

{ "type": { "name": "number" }, "value": 42 }
{ "type": { "name": "string" }, "value": "active" }
{ "type": { "name": "date" }, "value": "2024-01-01" }

Array scalars hold an array of literal values:

{ "type": { "name": "stringArray" }, "value": ["active", "pending"] }

Parameters

Parameters are named placeholders resolved at execution time, analogous to prepared statement bindings.

{ "param_name": "user_role", "type": { "name": "stringArray" } }
{ "param_name": "min_amount", "type": { "name": "number" } }

Query Clauses

`from`

{ "entity": "orders" }
{ "entity": "orders", "alias": "o" }

`select`

Each item in select is a value-returning expression (field, scalar, aggregate, arithmetic, boolean expression) with an optional alias.

"select": [
{ "entity": "users", "field": "name", "type": { "name": "string" } },
{ "entity": "users", "field": "email", "type": { "name": "string" }, "alias": "contact_email" },
{ "operator": "count", "arg": { "entity": "orders", "field": "id", "type": { "name": "uuid" } }, "alias": "order_count" }
]

`where` / `having`

They accept different shapes because they evaluate in different scopes:

where is evaluated per row. It accepts either a boolean-returning expression (single boolean) or a boolean-array-returning expression (per-row boolean column). Use the each* family for per-row predicates against fields.
having is evaluated per group, after groupBy. It accepts only a boolean-returning expression. Operands must reduce to a single value per group — typically aggregates compared with greaterThan / equal / etc. Per-row each* operators do not fit in having.

where example using per-row predicates:

"where": {
"operator": "eachAnd",
"conditions": [
{ "operator": "eachEqual",
"left": { "entity": "orders", "field": "status", "type": { "name": "string" } },
"right": { "type": { "name": "string" }, "value": "completed" } },
{ "operator": "eachEqual",
"left": { "entity": "orders", "field": "is_paid", "type": { "name": "boolean" } },
"right": { "type": { "name": "boolean" }, "value": true } }
]
}

`joins`

Each join specifies its type (inner, left, right, full), the entity to join, and an on condition. Like where, on accepts either a boolean-returning or a boolean-array-returning expression. For column-to-column matching (the typical join), use eachEqual:

"joins": [
{
"type": "inner",
"entity": "users",
"on": {
"operator": "eachEqual",
"left": { "entity": "o", "field": "user_id", "type": { "name": "uuid" } },
"right": { "entity": "users", "field": "id", "type": { "name": "uuid" } }
}
}
]

`groupBy` / `orderBy`

groupBy accepts an array of field references. orderBy accepts an array of orderByItem objects, each pairing a field with an optional direction ("asc" | "desc", default "asc").

"groupBy": [
{ "entity": "orders", "field": "user_id", "type": { "name": "uuid" } }
],
"orderBy": [
{ "field": { "entity": "users", "field": "name", "type": { "name": "string" } }, "direction": "asc" },
{ "field": { "entity": "orders", "field": "total", "type": { "name": "number" } }, "direction": "desc" }
]

`pagination`

"pagination": { "skip": 0, "take": 25 }

Operations

Two operator families

Every operator in the schema belongs to one of two parallel families that you choose between based on whether you're working with single values or with columns/rows:

Family	Operands	Result	Operators
Single-value	reduce to one value per query (or per group)	one value	`and`, `or`, `not`, `equal`, `greaterThan`/`lessThan`/…, `add`/`subtract`/`multiply`/`divide`, aggregates
*Per-row (`each`)**	at least one operand is a field or per-row computed column	one value per row	`eachAnd`/`eachOr`/`eachNot`, `eachEqual`, `eachGreaterThan`/`eachLessThan`/…, `eachAdd`/`eachSubtract`/`eachMultiply`/`eachDivide`, `eachDateAddDays`/`eachDateDiffDays`, `eachTimeAddSeconds`/`eachTimeDiffSeconds`, `eachDatetimeAddSeconds`/`eachDatetimeDiffSeconds`

Where each family fits:

Clause	Accepts
`where` / `join.on`	per-row boolean (typical) or single-value boolean
`having`	single-value boolean only — non-aggregated fields are structurally rejected
`select`	any value-returning expression, including per-row computed columns
`sum.arg` / `min_.arg` / `max_.arg` / `average_*.arg`	any array-returning expression (field, per-row computation)
right operand of any `each*` comparison	matching `Returning` (broadcast scalar) or `ArrayReturning` (element-wise)

Do not mix families inside the same boolean operator.and/or/not accept only single-value boolean children; eachAnd/eachOr/eachNot accept only per-row boolean children. The schema enforces this via type.

Single-value boolean operations

Operator	Shape
`and`	`{ "operator": "and", "conditions": [ ...booleanReturning ] }`
`or`	`{ "operator": "or", "conditions": [ ...booleanReturning ] }`
`not`	`{ "operator": "not", "condition": booleanReturning }`

Conditions must be single-boolean expressions: a boolean scalar, parameter, single-value equality, or single-value comparison. Typical use: combining aggregate comparisons in having.

"having": {
"operator": "and",
"conditions": [
{ "operator": "greaterThan",
"left": { "operator": "count", "arg": { "entity": "orders", "field": "id", "type": { "name": "uuid" } } },
"right": { "type": { "name": "number" }, "value": 5 } }
]
}

Per-row boolean operations (`eachAnd` / `eachOr` / `eachNot`)

Operator	Shape
`eachAnd`	`{ "operator": "eachAnd", "conditions": [ ...booleanArrayReturning ] }`
`eachOr`	`{ "operator": "eachOr", "conditions": [ ...booleanArrayReturning ] }`
`eachNot`	`{ "operator": "eachNot", "condition": booleanArrayReturning }`

These combine per-row boolean columns element-wise. The result is also a per-row boolean column. Use them to compose multiple each* predicates in where or join.on. There is no dedicated eachNotEqual — express it as eachNot(eachEqual(...)).

Single-value equality (`equal`)

Compares two single-value expressions of the same type and returns one boolean. Useful in having against aggregates, or anywhere both operands reduce to scalars.

{
"operator": "equal",
"left": { "operator": "max_number", "arg": { "entity": "orders", "field": "total", "type": { "name": "number" } } },
"right": { "param_name": "target_max", "type": { "name": "number" } }
}

Whole-sequence equality (`equal` on arrays)

The same equal operator, when both sides are array-returning expressions of the same type, asks "are these two sequences equal as wholes?" and returns one boolean. This is rarely needed; most "field equals value" filtering should use eachEqual instead.

{
"operator": "equal",
"left": { "param_name": "expected_ids", "type": { "name": "uuidArray" } },
"right": { "param_name": "received_ids", "type": { "name": "uuidArray" } }
}

Per-row equality (`eachEqual`)

For each row, returns true when left equals right. The left operand is an array-returning expression (typically a field). The right operand is either a single-value-returning expression (the threshold/literal case) or another array-returning expression (element-wise field-to-field comparison).

Supported types: boolean, number, string, date, time, datetime, uuid.

Field-to-literal:

{
"operator": "eachEqual",
"left": { "entity": "users", "field": "role", "type": { "name": "string" } },
"right": { "type": { "name": "string" }, "value": "admin" }
}

Field-to-field (per-row, used in joins or cross-column filters):

{
"operator": "eachEqual",
"left": { "entity": "orders", "field": "user_id", "type": { "name": "uuid" } },
"right": { "entity": "users", "field": "id", "type": { "name": "uuid" } }
}

Single-value range comparisons

Range comparisons on single-value-returning expressions (scalars, parameters, aggregates). They return a boolean.

Operator	Meaning
`greaterThan`	`>`
`lessThan`	`<`
`greaterThanOrEqual`	`>=`
`lessThanOrEqual`	`<=`

Supported types: number, string, date, time, datetime.

{
"operator": "greaterThan",
"left": { "operator": "sum", "arg": { "entity": "orders", "field": "total", "type": { "name": "number" } } },
"right": { "type": { "name": "number" }, "value": 500 }
}

Per-row range comparisons (`each*`)

Per-row analogues of the range comparisons. left is array-returning (typically a field), right is either single-value-returning (one threshold for all rows) or array-returning (element-wise field-to-field).

Operator	Meaning
`eachGreaterThan`	`>`
`eachLessThan`	`<`
`eachGreaterThanOrEqual`	`>=`
`eachLessThanOrEqual`	`<=`

Supported types: number, string, date, time, datetime.

Field vs literal:

{
"operator": "eachGreaterThan",
"left": { "entity": "orders", "field": "total", "type": { "name": "number" } },
"right": { "type": { "name": "number" }, "value": 100 }
}

Field vs field (per-row):

{
"operator": "eachGreaterThan",
"left": { "entity": "order_items", "field": "unit_price", "type": { "name": "number" } },
"right": { "entity": "order_items", "field": "sale_price", "type": { "name": "number" } }
}

Single-value arithmetic

Combines single-value-returning numeric expressions. Use aggregates to bridge field data into single-value arithmetic.

Operator	Meaning
`add`	`+`
`subtract`	`-`
`multiply`	`*`
`divide`	`/`

values is an array with at least 2 operands. For subtract and divide, evaluation is left-to-right ([a, b, c] means a - b - c / a / b / c).

{
"operator": "multiply",
"values": [
{ "operator": "sum", "arg": { "entity": "orders", "field": "amount", "type": { "name": "number" } } },
{ "type": { "name": "number" }, "value": 0.9 }
],
"alias": "discounted_total"
}

Per-row arithmetic (`eachAdd` / `eachSubtract` / `eachMultiply` / `eachDivide`)

Per-row analogues of arithmetic. Each values[i] is numericReturning (broadcast scalar) or numericArrayReturning (zipped per-row column). Result is a numeric column aligned with the row set.

Use in select for computed columns, inside aggregates (sum(eachMultiply(unit_price, quantity))), or on the right side of any each* comparison.

{
"operator": "eachMultiply",
"values": [
{ "entity": "order_items", "field": "unit_price", "type": { "name": "number" } },
{ "entity": "order_items", "field": "quantity", "type": { "name": "number" } }
],
"alias": "subtotal"
}

Broadcast and zip: mixing single-value and array operands

Any each* slot that accepts both *Returning and *ArrayReturning follows the same evaluation rule. The surrounding row set fixes a row count N (from from + joins + where, or from the group size when nested inside an aggregate after groupBy). Then:

Each *Returning operand is broadcast — repeated N times so it has one value per row.
Each *ArrayReturning operand is already aligned with N rows by construction (same query context).
The operator runs element-wise across all operands, producing a length-N result vector.

So eachAdd([fieldA, scalar, fieldB]) over three rows with fieldA = [10, 20, 30], scalar = 5, fieldB = [1, 2, 3] evaluates to [16, 27, 38]. This is what makes patterns like eachMultiply(unit_price, 1.05) (5% per-row markup) and eachAdd(base_price, tax, shipping) (sum three columns per row) work naturally.

The return type is always *ArrayReturning even if every operand is a scalar — eachAdd(2, 3) in a select over a 4-row table yields the vector [5, 5, 5, 5], not the scalar 5. Use the single-value add for purely scalar work.

Date math (`eachDateAddDays` / `eachDateDiffDays`)

Per-row date arithmetic, days as the unit.

Operator	Shape	Returns
`eachDateAddDays`	`{ left: date, right: number }`	`date` (per row)
`eachDateDiffDays`	`{ left: date, right: date }`	`number` (per row)

left / right accept the broadcast vs zipped polymorphism (*Returning | *ArrayReturning).

{
"operator": "eachDateAddDays",
"left": { "entity": "orders", "field": "order_date", "type": { "name": "date" } },
"right": { "type": { "name": "number" }, "value": 30 },
"alias": "delivery_eta"
}

Datetime math (`eachDatetimeAddSeconds` / `eachDatetimeDiffSeconds`)

Per-row datetime arithmetic, seconds as the unit. Larger units are expressed by composing with eachMultiply (e.g. add N hours via eachDatetimeAddSeconds(dt, eachMultiply(n, 3600))).

Operator	Shape	Returns
`eachDatetimeAddSeconds`	`{ left: datetime, right: number }`	`datetime` (per row)
`eachDatetimeDiffSeconds`	`{ left: datetime, right: datetime }`	`number` (per row)

{
"operator": "eachGreaterThan",
"left": {
"operator": "eachDatetimeDiffSeconds",
"left": { "entity": "orders", "field": "shipped_at", "type": { "name": "datetime" } },
"right": { "entity": "orders", "field": "ordered_at", "type": { "name": "datetime" } }
},
"right": { "type": { "name": "number" }, "value": 172800 }
}

Time math (`eachTimeAddSeconds` / `eachTimeDiffSeconds`)

Per-row time-of-day arithmetic, seconds as the unit. Same broadcast / zip rules as the rest of the each* family.

Operator	Shape	Returns
`eachTimeAddSeconds`	`{ left: time, right: number }`	`time` (per row)
`eachTimeDiffSeconds`	`{ left: time, right: time }`	`number` (per row)

eachTimeAddSeconds overflow behaviour around 00:00:00 (wrap, saturate, error) is interpreter-defined — the schema doesn't constrain it.

{
"operator": "eachTimeAddSeconds",
"left": { "entity": "shifts", "field": "clock_in", "type": { "name": "time" } },
"right": { "type": { "name": "number" }, "value": 1800 },
"alias": "break_start"
}

Aggregates

Aggregates reduce an array of field values to a single value. The arg is any array-returning expression (typically a field reference).

Operator	Input type	Returns
`count`	any array	number
`sum`	number	number
`average_number`	number	number
`min_number`	number	number
`max_number`	number	number
`min_string`	string	string
`max_string`	string	string
`min_date`	date	date
`max_date`	date	date
`average_date`	date	date
`min_time`	time	time
`max_time`	time	time
`average_time`	time	time
`min_datetime`	datetime	datetime
`max_datetime`	datetime	datetime
`average_datetime`	datetime	datetime

{ "operator": "sum", "arg": { "entity": "items", "field": "price", "type": { "name": "number" } } }
{ "operator": "count", "arg": { "entity": "items", "field": "id", "type": { "name": "uuid" } } }
{ "operator": "max_date","arg": { "entity": "orders","field": "order_date","type": { "name": "date" } } }

Samples

The samples/ directory contains query examples ordered by complexity.

File	Description
`01_simple_select.json`	Select several fields from a single entity
`02_aliases_and_pagination.json`	`from` alias, field aliases, and `pagination`
`03_where_equality.json`	Filter rows with a single `eachEqual` condition
`04_boolean_logic.json`	Nested `eachAnd` / `eachOr` / `eachNot` over field equalities
`05_joins.json`	`inner` and `left` joins using `eachEqual` for per-row key matching
`06_count_aggregate.json`	`count` aggregate with a `where` filter
`07_group_by.json`	Multiple aggregates with `groupBy`
`08_having.json`	`having` clause with `and` of two aggregate comparisons
`09_arithmetic.json`	`add`, `multiply`, `divide` on aggregate results
`10_parameters.json`	Named scalar parameters in per-row predicates
`11_distinct.json`	`distinct: true` to deduplicate results
`12_complex_query.json`	Full query: joins, per-row `where`, groupBy, single-value `having`, arithmetic, parameters, orderBy with direction, pagination
`13_range_filter.json`	`eachGreaterThan` and `eachLessThan` combined with `eachAnd`
`14_each_field_to_field.json`	Per-row range comparison between two fields (no scalar threshold)
`15_each_not_equal.json`	`eachNot` wrapping `eachEqual` — the idiom for "field ≠ literal"
`16_each_or_composition.json`	Mixing `eachEqual` and `eachGreaterThan` via `eachAnd` + `eachOr`
`17_each_arithmetic_select.json`	`eachMultiply` of two fields as a computed `select` column (`subtotal`)
`18_aggregate_of_each_multiply.json`	`sum(eachMultiply(unit_price, quantity))` grouped by user — line-item revenue
`19_each_date_add_days.json`	`eachDateAddDays` to derive a `delivery_eta` column from `order_date + 30 days`
`20_each_datetime_diff_where.json`	`eachDatetimeDiffSeconds` inside `eachGreaterThan` to filter orders by ship-time
`21_each_time_math.json`	`eachTimeAddSeconds` (time + offset) and `eachTimeDiffSeconds` (shift duration)

Name		Name	Last commit message	Last commit date
.claude		.claude
.github/workflows		.github/workflows
samples		samples
.gitignore		.gitignore
CHANGELOG.md		CHANGELOG.md
CLAUDE.md		CLAUDE.md
CODEOWNERS		CODEOWNERS
CODE_OF_CONDUCT.md		CODE_OF_CONDUCT.md
LICENSE		LICENSE
PureQL-Specification.json		PureQL-Specification.json
README.md		README.md

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PureQL Specification

Quick Reference

Type System

Scalar types

Array types

Core Concepts

Field references

Scalars

Parameters

Query Clauses

`from`

`select`

`where` / `having`

`joins`

`groupBy` / `orderBy`

`pagination`

Operations

Two operator families

Single-value boolean operations

Per-row boolean operations (`eachAnd` / `eachOr` / `eachNot`)

Single-value equality (`equal`)

Whole-sequence equality (`equal` on arrays)

Per-row equality (`eachEqual`)

Single-value range comparisons

Per-row range comparisons (`each*`)

Single-value arithmetic

Per-row arithmetic (`eachAdd` / `eachSubtract` / `eachMultiply` / `eachDivide`)

Broadcast and zip: mixing single-value and array operands

Date math (`eachDateAddDays` / `eachDateDiffDays`)

Datetime math (`eachDatetimeAddSeconds` / `eachDatetimeDiffSeconds`)

Time math (`eachTimeAddSeconds` / `eachTimeDiffSeconds`)

Aggregates

Samples

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PureQL Specification

Quick Reference

Type System

Scalar types

Array types

Core Concepts

Field references

Scalars

Parameters

Query Clauses

from

select

where / having

joins

groupBy / orderBy

pagination

Operations

Two operator families

Single-value boolean operations

Per-row boolean operations (eachAnd / eachOr / eachNot)

Single-value equality (equal)

Whole-sequence equality (equal on arrays)

Per-row equality (eachEqual)

Single-value range comparisons

Per-row range comparisons (each*)

Single-value arithmetic

Per-row arithmetic (eachAdd / eachSubtract / eachMultiply / eachDivide)

Broadcast and zip: mixing single-value and array operands

Date math (eachDateAddDays / eachDateDiffDays)

Datetime math (eachDatetimeAddSeconds / eachDatetimeDiffSeconds)

Time math (eachTimeAddSeconds / eachTimeDiffSeconds)

Aggregates

Samples

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`from`

`select`

`where` / `having`

`joins`

`groupBy` / `orderBy`

`pagination`

Per-row boolean operations (`eachAnd` / `eachOr` / `eachNot`)

Single-value equality (`equal`)

Whole-sequence equality (`equal` on arrays)

Per-row equality (`eachEqual`)

Per-row range comparisons (`each*`)

Per-row arithmetic (`eachAdd` / `eachSubtract` / `eachMultiply` / `eachDivide`)

Date math (`eachDateAddDays` / `eachDateDiffDays`)

Datetime math (`eachDatetimeAddSeconds` / `eachDatetimeDiffSeconds`)

Time math (`eachTimeAddSeconds` / `eachTimeDiffSeconds`)