Team, Visitors, External Collaborators
Overall Objectives
Research Program
Highlights of the Year
New Software and Platforms
New Results
Bilateral Contracts and Grants with Industry
Partnerships and Cooperations
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Section: New Results

Mathematical Components Analysis

Participants : Cyril Cohen, Damien Rouhling, Reynald Affeldt [AIST Japan] , Assia Mahboubi [Inria Gallinette] , Pierre-Yves Strub [Ecole Polytechnique] .

As a synthesis of the lessons learned in the usage of Mathematical Components and Coquelicot, we develop an extension of the Mathematical Components library to cover questions of analysis. This work includes a new tactic called near to handle reasoning steps around limits and filters and little-o notation (following Landau's style of asymptotic reasoning). This work is described in [6]. There also contains a new formalization of topoligical structures, Rolle's theorem, the intermediate value theorem, and Heine Borel's theorem. Ongoing work concentrates on a better design of the topological hierarchy and a simplification of the properties expected from real numbers (following a design by A. Mahboubi and P.-Y. Strub).

Some of this work also includes experiments performed with the Lean theorem prover (developed at Microsoft Research).