Andreas Franke

Proof Development with OMEGA

The Ωmega proof development system [2] is the core of several related and well integrated research projects of the Ωmega research group.

System Description: MathWeb, an Agent-Based Communication Layer for Distributed Automated Theorem Proving

Real-world applications of theorem proving require open and modern software environments that enable modularization, distribution, inter-operability, networking, and coordination. This system description presents the MathWeb1 approach for distributed automated theorem proving that connects a wide-range of mathematical services by a common, mathematical software bus. The MathWeb system provides the functionality to turn existing theorem proving systems and tools into mathematical services that are homogeneously integrated into a networked proof development environment. The environment thus gains the services from these particular modules, but each module in turn gains from using the features of other, plugged-in components.

System Description: MBASE, an Open Mathematical Knowledge Base

In this paper we describe the MBase system, a web-based, distributed mathematical knowledge base. This system is a mathematical service in MathWeb that offers a universal repository of formalized mathematics where the formal representation allows semantics-based retrieval of distributed mathematical facts.

MBase: Representing mathematical Knowledge in a Relational Data Base

Abstract We describe the current (v.0.1) data model of the MB ase system, a web-based, distributed mathematical knowledge base. This system is a mathematical service in M ath W eb that offers a universal repository of formalized mathematics where the formal representation allows semantics-based retrieval of distributed mathematical facts.