The basis for the language GCLA is a generalization of the concept inductive definitions, called partial inductive definitions. The program defines a logic, which is used to make inferences to prove if a query holds or not. This report first presents a short introduction to these ideas. Then, an abstract machine, called GAM, for GCLA is presented; the instructions as well as an introduction to the compiling schema is given together with some examples. The GAM instructions are also presented as transitions in an appendix.