A multi-modi Proof Planner

Abstract

Proof planning is a novel knowledge-based approach for proof construction, which supports the incorporation of mathematical knowledge and the common mathematical proof techniques of a particular mathematical field. This paradigm is adopted in the\Omega mega proof development system, to provide support for the user. A considerable part of the proof construction and even sometimes the whole work can be undertaken by a proof planner. In the \Omega mega project we are investigating the aspect of computation under bounded resources in mathematical theorem proving. The relevant resources are, in addition to time and memory space, user availability as well as the frequency of user interaction. At this issue, the proof planner of\Omega mega is conceived in such a way that it has a resource-adaptive behaviour. This property of the planner is achieved by a planner modus which defines the planner behaviour depending on which and how many resources are available. In this paper, we describe the..