What is Multi-adjoint logic programming?

Multi-adjoint logic programming defines syntax and semantics of a logic programming program in such a way that the underlying maths justifying the results are a residuated lattice and/or MV-algebra.

The definition of a multi-adjoint logic program is given, as usual in fuzzy logic programming, as a set of weighted rules and facts of a given formal language F. Notice that we are allowed to use different implications in our rules.

Definition: A multi-adjoint logic program is a set P of rules of the form <, δ> such that:

1. The rule is a formula of F;