4 Racket Interoperability

package: datalog

The Datalog database can be directly used by Racket programs through this API.

Examples:

> (define family (make-theory))
> (datalog family
           (! (parent joseph2 joseph1))
           (! (parent joseph2 lucy))
           (! (parent joseph3 joseph2)))
'()
> (datalog family
           (? (parent X joseph2)))
'(#hasheq((X . joseph3)))
> (datalog family
           (? (parent X (string->symbol "joseph2"))))
'(#hasheq((X . joseph3)))
> (let ([atom 'joseph2])
    (datalog family
             (? (parent X #,atom))))
'(#hasheq((X . joseph3)))
> (let ([table 'parent])
    (datalog family
             (? (#,table X joseph2))))
'(#hasheq((X . joseph3)))
> (datalog family
           (? (parent joseph2 X)))
'(#hasheq((X . joseph1)) #hasheq((X . lucy)))
> (datalog family
           (? (parent joseph2 X))
           (? (parent X joseph2)))
'(#hasheq((X . joseph3)))
> (datalog family
           (! (:- (ancestor A B)
                  (parent A B)))
           (! (:- (ancestor A B)
                  (parent A C)
                  (= D C)
                  (ancestor D B))))
'()
> (datalog family
           (? (ancestor A B)))
'(#hasheq((A . joseph3) (B . joseph2))
  #hasheq((A . joseph2) (B . lucy))
  #hasheq((A . joseph2) (B . joseph1))
  #hasheq((A . joseph3) (B . lucy))
  #hasheq((A . joseph3) (B . joseph1)))
> (let ([x 'joseph2])
    (datalog family
             (? (parent x X))))
'(#hasheq((X . joseph1)) #hasheq((X . lucy)))
> (datalog family
           (? (add1 1 :- X)))
'(#hasheq((X . 2)))
> (datalog family
           (? (add1 X :- 2)))
'()
> (datalog family
           (? (#,(λ (x) (+ x 1)) 1 :- X)))
'(#hasheq((X . 2)))

value
theory/c : contract?

A contract for Datalog theories.

procedure
(make-theory) → theory/c

Creates a theory for use with datalog.

procedure
(write-theory t) → void
t : theory/c

Writes a theory to the current output port. Source location information is lost.

procedure
(read-theory) → theory/c

Reads a theory from the current input port.

syntax
(datalog thy-expr
stmt ...)

thy-expr : theory/c

Executes the statements on the theory given by thy-expr. Returns the answers to the final query as a list of substitution dictionaries or returns empty.

syntax
(datalog! thy-expr
stmt ...)

thy-expr : theory/c

Executes the statements on the theory given by thy-expr. Prints the answers to every query in the list of statements. Returns (void).

Statements are either assertions, retractions, or queries.

syntax
(! clause)

Asserts the clause.

syntax
(~ clause)

Retracts the literal.

syntax
(:- literal question ...)

A conditional clause.

syntax
(? question)

Queries the literal and prints the result literals.

Questions are either literals or external queries.

Literals are represented as identifier or (table term ...).

A table is either an identifier or #,expr where expr evaluates to a symbol.

External queries are represented as (ext-table term ... :- term ...), where ext-table is an identifier bound to a procedure or #,expr where expr evaluates to a procedure that when given the first set of terms as arguments returns the second set of terms as values.

A term is either a non-capitalized identifiers for a constant symbol, a Racket expression for a constant datum, or a capitalized identifier for a variable symbol, or #,expr where expr evaluates to a constant datum. Bound identifiers in terms are treated as the datum they are bound to.

External queries fail if any logic variable is not fully resolved to a datum on the Datalog side. In other words, unbound logic variables never flow to Racket.

External queries invalidate Datalog’s guaranteed termination. For example, this program does not terminate:

(datalog (make-theory)
         (! (:- (loop X)
                (add1 X :- Z)
                (loop Z)))
         (? (loop 1)))

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1	Datalog Module Language
2	Tutorial
3	Parenthetical Datalog Module Language
4	Racket Interoperability
5	Acknowledgments