Catálogo de publicaciones - libros

, a proof-checking system, is used to build the Mathematical Library (MML). MML Query is a semantics-based tool for managing the mathematical knowledge in including searching, browsing and presentation of the evolving MML content. The tool is becoming widely used as an aid for authors and plays an essential role in the ongoing reorganization of MML. We present new features of MML Query implemented in the third release and describe the possibilities offered by them.

The axiomatic presentation of geometry fills the gap between formal logic and our spatial intuition. The study of geometry is, and will always be, very important for a mathematical practitioner. GCLCprover, an automatic theorem prover (ATP) integrated with dynamic geometry software (DGS) gives its user a tool to bridge his/her spatial intuition with formal, Euclidean geometry proofs. GeoThms, a system consisting of the mentioned programs and a database geoDB, provides a framework for exploring geometrical knowledge. A GeoThms user can browse through a list of available geometric problems, their statements, illustrations, and proofs. He/she can also interactively produce new geometrical constructions, theorems, and proofs and add new results to the existing ones. GeoThms framework provides an environment suitable for new ways of studying and teaching geometry at different levels. GeoThms also provides a system for storing mathematical knowledge (in a explicit, declarative form) — not only theorem statements, but also their (automatically generated) proofs and corresponding illustrations.