论文信息 - Some Mathematical Case Studies in ProofPower -

Some Mathematical Case Studies in ProofPower -

This paper gives an overview of three case studies in developing pure mathematical theory using ProofPower-HOL. The case studies cover real analysis, group theory and topology and expose some interesting issues for formalising mathematics.

R. Arthan | R. D. Arthan

[1] Joe Hurd. Predicate Subtyping with Predicate Sets , 2001, TPHOLs.

[2] Michael Henle,et al. A combinatorial introduction to topology , 1978 .

[3] MA John Harrison PhD. Theorem Proving with the Real Numbers , 1998, Distinguished Dissertations.

[4] J. Michael Spivey,et al. The Z notation - a reference manual , 1992, Prentice Hall International Series in Computer Science.

[5] J. Harrison. Formalized Mathematics , 1996 .

[6] Hanne Gottliebsen. Automated theorem proving for mathematics : real analysis in PVS , 2002 .

[7] Lawrence C. Paulson. Defining functions on equivalence classes , 2006, TOCL.