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By Mirian Andrés, Laureano Lambán, Julio Rubio (auth.), Manuel Kauers, Manfred Kerber, Robert Miner, Wolfgang Windsteiger (eds.)

This quantity includes the gathered contributions of 2 meetings, Calcu- mus2007andMKM2007.Calculemus2007wasthe14thinaseriesofconferences devoted to the combination of laptop algebra platforms (CAS) and automatic deduction platforms (ADS). MKM 2007 was once the 6th foreign convention on Mathematical wisdom administration, an rising interdisciplinary ?eld of study within the intersection of arithmetic, computing device technology, library s- ence, and scienti?c publishing. either meetings aimed to supply mechanized mathematical assistants. even if the 2 meetings have separate groups and separate foci, there's a signi?cant overlap within the pursuits in construction mechanized mathem- ical assistants. therefore it used to be made up our minds to collocate the 2 occasions in 2007 for the ?rst time, at RISC in Hagenberg, Austria. The quantity and caliber of the submissions convey that this used to be a superb choice. whereas the court cases are shared, the submission approach was once separate. The accountability for acc- tance/rejection rests thoroughly with the 2 separate software Committees. by way of this collocation we made a contribution opposed to the fragmentation of groups which paintings on di?erent features of di?erent self reliant branches, conventional branches (e.g., desktop algebra and theorem proving), in addition to newly rising ones (on consumer interfaces, wisdom administration, concept exp- ration, etc.). it will additionally facilitate the improvement of built-in mechanized mathematical assistants that may be generally utilized by mathematicians, c- puter scientists, and engineers of their every-day business.

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TYPES 2003. LNCS, vol. : Interpretation of locales in Isabelle: Theories and proof contexts. M. ) MKM 2006. LNCS (LNAI), vol. : The Coq Proof Assistant Reference Manual. INRIA, vol. : Ein algorithmisches Kriterium f¨ ur die L¨ osbarkeit eines algebraischen Gleichungssystems. : Verifying mixed real-integer quantifier elimination. , Shankar, N. ) IJCAR 2006. LNCS (LNAI), vol. : Verifying and reflecting quantifier elimination for Presburger arithmetic. , Voronkov, A. ) Logic for Programming, Artificial Intelligence, and Reasoning, vol.

3097, pp. 400–414. Springer, Heidelberg (2004) 9. : Isotopy Invariants in Quasigroups. Transactions of the American Mathematical Society 151(2), 511–526 (1970) 10. : STMM: A set theory for mechanized mathematics. J. Autom. Reasoning 26(3), 269–289 (2001) 11. : Biform theories in Chiron. , Windsteiger, W. ) Towards Mechanized Mathematical Assistants. LNCS (LNAI), vol. 4573, Springer, Heidelberg (2007) 12. : Transformers for symbolic computation and formal deduction. , Sorge, V. ) CADE-17 Workshop on the Role of Automated Deduction in Mathematics, pp.

LNCS (LNAI), vol. : The Coq Proof Assistant Reference Manual. INRIA, vol. : Ein algorithmisches Kriterium f¨ ur die L¨ osbarkeit eines algebraischen Gleichungssystems. : Verifying mixed real-integer quantifier elimination. , Shankar, N. ) IJCAR 2006. LNCS (LNAI), vol. : Verifying and reflecting quantifier elimination for Presburger arithmetic. , Voronkov, A. ) Logic for Programming, Artificial Intelligence, and Reasoning, vol. : Dealing with Algebraic Expressions over a Field in Coq using Maple. : Quantifier Elimination over Algebraically Closed Fields in a Proof Assistant using a Computer Algebra System.

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