Computers arechanging the way wethink. Of course, nearly all desk-workers have access to
computers and use them to email their colleagues, search the Web for information and …

Rippling is a radically new technique for the automation of mathematical reasoning. It is
widely applicable whenever a goal is to be proved from one or more syntactically similar …

Classical automated theorem proving of today is based on ingenious search techniques to
find a proof for a given theorem in very large search spaces—often in the range of several …

Natural language interaction between a student and a tutoring or an assistance system for
mathematics is a new multi-disciplinary challenge that requires the interaction of (i) …

We present the CoRe calculus for contextual reasoning which supports reasoning directly at
the assertion level, where proof steps are justified in terms of applications of definitions …

We study challenges that are imposed to mathematical domain reasoning in the context of
natural language tutorial dialog on mathematical proofs. The focus is on proof step …

Abstract1 In1934, in Bernays' preface to the first edition of the first volume of Hilbert and
Bernays' monograph “Grundlagen der Mathematik”, a nearly completed draft of the the …

Our work addresses assertion retrieval and application in theorem proving systems or proof
planning systems for classical firstorder logic. We propose a distributed mediator M between …

The year 2004 marks the fiftieth birthday of the first computer generated proof of a
mathematical theorem:“the sum of two even numbers is again an even number”(with Martin …

Interactive theorem proving systems for mathematics require user interfaces which allow for
user interaction that is as natural as possible. However, this interaction is often limited by the …