A logic programming language is a DeclarativeLanguage based on the application of PredicateLogic. PrologLanguage is the prime example.
There's also MercuryLanguage, OzLanguage... Lots of others, I'm sure. I think PrologLanguage is a really powerful tool for decision-making. I don't know if I'd ever want to write major applications in it, but having an InferenceEngine? around is really slick.
There's also ConstraintProgramming ... http://brownbuffalo.sourceforge.net/ has some great examples for teaching constraint logic programming with finite domains using Eclipse, which seems to be a lot like prolog. Eclipse is a pain to download (you have to fax stuff), but I found I could follow the examples fairly easily using OzLanguage, another ConstraintProgramming language.
Common Logic Controlled English (CLCE) http://www.jfsowa.com/clce/specs.htm is a language for logic in English-like syntax proposed by John F. Sowa. An implementation of the language in Scheme can be found at http://www.leidig-online.de/torsten/archives/2004-12.html#e2004-12-31T15_59_46.txt.
Logical statements read much like ordinary English and easier to understand as the following sample statements show:
Every person has some person as mother. ; Every cat is on a mat. ; Some person is between a dog and a blue cat. ; If some person x is the mother of a person y, then y is a child of x.-- TorstenLeidig
Is SETL a LogicProgrammingLanguage?
-- FinnWilcox?
See also: