Abstract   The Analytic Network Process (ANP) is a generalization of the Analytic Hierarchy Process (AHP). The basic structure is an influence network of clusters and nodes contained within the clusters. Priorities are established in the same way they are in the AHP using pairwise comparisons and judgment. Many decision problems cannot be structured hierarchically because they involve the inter...

hi this paper we present an algorithm for translating from a particular non-anMytic proof system to analytic proofs. Moreover, some results about the translation in the other direction are refornmlated and known algorithms improved, hnplementation of the algorithms presented for use in research and teaching logic is under way at Carnegie-Mellon University in the framework of TPS and its educati...