from
The Free On-line Dictionary of Computing (8 July 2008)
Horn clause
<logic> A set of {atomic literals} with at most one {positive
literal}. Usually written
L <- L1, ..., Ln
or
<- L1, ..., Ln
where n>=0, "<-" means "is implied by" and comma stands for
{conjuction} ("AND"). If L is false the clause is regarded as
a {goal}. Horn clauses can express a subset of statements of
{first order logic}.
The name "Horn Clause" comes from the logician Alfred Horn,
who first pointed out the significance of such clauses in
1951, in the article "On sentences which are true of direct
unions of algebras", Journal of Symbolic Logic, 16, 14-21.
A {definite clause} is a Horn clause that has exactly one
positive literal.
(2000-01-24)