#### Filter Results:

- Full text PDF available (40)

#### Publication Year

1999

2007

- This year (0)
- Last 5 years (0)
- Last 10 years (4)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Erica Melis, Eric Andrès, +5 authors Carsten Ullrich
- 2001

ActiveMath is a generic web-based learning system that dynamically generates interactive (mathematical) courses adapted to the student’s goals, preferences, capabilities, and knowledge. The content is represented in an semantic xml-based format. For each user, the appropriate content is retrieved from a knowledge base and the course is generated… (More)

- John Harrison, Konrad Slind, +13 authors Jörg Siekmann

We compare the styles of several proof assistants for mathematics. We present Pythagoras’ proof of the irrationality of √ 2 both informal and formalized in (1) HOL, (2) Mizar, (3) PVS, (4) Coq, (5) Otter/Ivy, (6) Isabelle/Isar, (7) Alfa/Agda, (8) ACL2, (9) PhoX, (10) IMPS, (11) Metamath, (12) Theorema, (13) Lego, (14) Nuprl, (15) Ωmega, (16) B method, (17)… (More)

- Vladimir Brezhnev, Lassaad Cheikhrouhou, +10 authors Markus Mos hner
- 2002

- M. Pollet
- 2002

Freek Wiedijk proposed the well-known theorem about the irrationality of √ 2 as a case study and used this theorem for a comparison of fifteen (interactive) theorem proving systems, which were asked to present their solution (see [48]). This represents an important shift of emphasis in the field of automated deduction away from the somehow artificial… (More)

- Jörg H. Siekmann, Stephan M. Hess, +9 authors Volker Sorge
- Formal Aspects of Computing
- 1999

The capabilities of a automated theorem prover's interface are essential for the effective use of (interactive) proof systems. LΩUI is the multi-modal interface that combines several features: a graphical display of information in a proof graph, a selective term browser with hypertext facilities, proof and proof plan presentation in natural language, and an… (More)

- Mateja Jamnik, Manfred Kerber, Martin Pollet, Christoph Benzmüller
- Logic Journal of the IGPL
- 2003

In this paper we present an approach to automated learning within mathematical reasoning systems. In particular, the approach enables proof planning systems to automatically learn new proof methods from well-chosen examples of proofs which use a similar reasoning pattern to prove related theorems. Our approach consists of an abstract representation for… (More)

- Jörg H. Siekmann, Christoph Benzmüller, +14 authors Jürgen Zimmer
- CADE
- 2002

The Ωmega proof development system [2] is the core of several related and well integrated research projects of the Ωmega research group. Ωmega is a mathematical assistant tool that supports proof development in mathematical domains at a user-friendly level of abstraction. It is a modular system with a central data structure and several complementary… (More)

- Andreas Meier, Martin Pollet, Volker Sorge
- J. Symb. Comput.
- 2002

We report on a case study on combining proof planning with computer algebra systems. We construct proofs for basic algebraic properties of residue classes as well as for isomorphisms between residue classes using di erent proof techniques, which are implemented as strategies in a multi-strategy proof planner. The search space of the proof planner can be… (More)

- Martin Pollet, Volker Sorge, Manfred Kerber
- MKM
- 2004