Abstract
The mission of mechanized mathematics is to develop software systems that support the process people use to create, explore, connect, and apply mathematics. Working mathematicians routinely leverage a powerful synergy between deduction and computation. The artificial division between (axiomatic) theorem proving systems and (algorithmic) computer algebra systems has broken this synergy. To significantly advance mechanized mathematics, this synergy needs to be recaptured within a single framework. MathScheme [6] is a long-term project being pursued at McMaster University with the aim of producing such a framework in which formal deduction and symbolic computation are tightly integrated. In the short-term, we are developing tools and techniques to support this approach, with the long-term objective to produce a new system.
This research was supported by NSERC.
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References
Carette, J., Farmer, W.M.: High-level theories. In: Autexier, S., Campbell, J., Rubio, J., Sorge, V., Suzuki, M., Wiedijk, F. (eds.) AISC 2008, Calculemus 2008, and MKM 2008. LNCS (LNAI), vol. 5144, pp. 232–245. Springer, Heidelberg (2008)
Carette, J., Kiselyov, O.: Multi-stage programming with functors and monads: Eliminating abstraction overhead from generic code. Science of Computer Programming 76(5), 349–375 (2011)
Farmer, W.M.: Biform theories in Chiron. In: Kauers, M., Kerber, M., Miner, R.R., Windsteiger, W. (eds.) MKM/CALCULEMUS 2007. LNCS (LNAI), vol. 4573, pp. 66–79. Springer, Heidelberg (2007)
Farmer, W.M.: Chiron: A multi-paradigm logic. In: Matuszewski, R., Zalewska, A. (eds.) From Insight to Proof: Festschrift in Honour of Andrzej Trybulec. Studies in Logic, Grammar and Rhetoric, vol. 10(23), pp. 1–19. University of Białystok (2007)
Farmer, W.M.: Chiron: A set theory with types, undefinedness, quotation, and evaluation. SQRL Report No. 38, McMaster University (2007) (revised 2011)
MathScheme Web Site, http://www.cas.mcmaster.ca/research/mathscheme/
Ni, H.: Chiron: Mechanizing Mathematics in OCaml. Master’s thesis, McMaster University (2009)
Objective Caml, http://www.caml.inria.fr/
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Carette, J., Farmer, W.M., O’Connor, R. (2011). MathScheme: Project Description. In: Davenport, J.H., Farmer, W.M., Urban, J., Rabe, F. (eds) Intelligent Computer Mathematics. CICM 2011. Lecture Notes in Computer Science(), vol 6824. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22673-1_23
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