By Pierre Florent

ISBN-10: 2711720357

ISBN-13: 9782711720354

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Dissertation, Department of Computer Science, University of Bologna, Italy, January 2002. il Abstract. We present a formalization of the axiomatic set theory ZF which reflects real mathematical practice, and is easy for mechanical manipulation and interactive theorem proving. Unlike the standard firstorder formalizations, our version provides a rich class of abstraction terms denoting sets on the one hand, and is based on purely syntactical (rather than semantic) considerations on the other hand.

Bancerek and J. Urban 46 interface, however it has also standard command-line interface, and other output formats are easily added. We use this possibility and define a simple output format easily parsable by Emacs for the work presented here. Finally, we can mention the earlier browsing features available in the Emacs authoring environment for Mizar. e. theorems, definitions and schemes), which is sufficient and works well, because no overloading of their names is allowed in Mizar and every MML reference is unique.

95–113. 2 It is surprising how some of these statements may look odd and amusing when read in the “wrong” direction. Efficient Retrieval of Mathematical Statements 31 4. D. Delahaye and R. Di Cosmo, Information retrieval in a Coq proof library using type isomorphisms, in: Proceedings of TYPES 99, Lökeberg, Springer-Verlag LNCS, 1999. 5. R. Di Cosmo, Isomorphisms of Types: from Lambda Calculus to Information Retrieval and Language Design, Birkhauser, 1995, IBSN-0-8176-3763-X. 6. H. Ganzinger, R.

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Calcul vectoriel, géométrie analytique (Outils et modèles mathématiques) by Pierre Florent


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