Four approaches to automated reasoning with differential algebraic structures
- Aransay, J. 1
- Ballarin, C. 2
- Rubio, J. 1
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1
Universidad de La Rioja
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2
Technical University Munich
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ISSN: 0302-9743
Datum der Publikation: 2004
Ausgabe: 3249
Seiten: 222-235
Art: Artikel
beta Ver similares en nube de resultadosAndere Publikationen in: Lecture Notes in Computer Science
Zusammenfassung
While implementing a proof for the Basic Perturbation Lemma (a central result in Homological Algebra) in the theorem prover Isabelle one faces problems such as the implementation of algebraic structures, partial functions in a logic of total functions, or the level of abstraction in formal proofs. Different approaches aiming at solving these problems will be evaluated and classified according to features such as the degree of mechanization obtained or the direct correspondence to the mathematical proofs. From this study, an environment for further developments in Homological Algebra will be proposed. © Springer-Verlag 2004.