# Generalized semantics and abstract interpretation for
constraint logic programs

**
****By: R. Giacobazzi, S. K. Debray and G. Levi**

**
Roberto
Giacobazzi**

Dip. di Informatica

Univ. di Pisa

Corso
Italia 40, 56125 Pisa
(Italy)

`giaco@di.unipi.it`

### Abstract:

* We present a simple and powerful generalized
algebraic semantics for constraint logic programs that is
parameterized with respect to the underlying constraint system. The
idea is to abstract away from standard semantic objects by focusing on
the general properties of any--possibly non-standard--semantic
definition. In constraint logic programming, this corresponds to a
suitable definition of the constraint system supporting the semantic
definition. An algebraic structure is introduced to formalize the
notion of a constraint system, thus making classical mathematical
results applicable. Both top-down and bottom-up semantics are
considered. Non-standard semantics for constraint logic programs can
then be formally specified using the same techniques used to define
standard semantics. Different non-standard semantics for constraint
logic languages can be specified in this framework. In particular
abstract interpretation of constraint logic programs can be viewed as
an instance of the constraint logic programming framework itself.
*

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* giaco@di.unipi.it *