18th International Workshop on Types for Proofs and Programs, TYPES 2011, September 8-11, 2011, Bergen, Norway
نویسندگان
چکیده
Winding numbers are fundamental objects arising in algebraic topology, with many applications in non-constructive complex analysis. We present a formalization in Coq of the winding numbers and their main properties. As an application of this development, we also give non-constructive proofs of the following theorems: the Fundamental Theorem of Algebra, the 2-dimensional Brouwer Fixed-Point theorem and the 2-dimensional Borsuk-Ulam theorem. 1998 ACM Subject Classification F.4.1 Mathematical Logic
منابع مشابه
Types for Proofs and Programs, International Workshop, TYPES 2006, Nottingham, UK, April 18-21, 2006, Revised Selected Papers
When there are many people who don't need to expect something more than the benefits to take, we will suggest you to have willing to reach all benefits. Be sure and surely do to take this types for proofs and programs international workshop types 2006 nottingham uk april 18 21 2006 that gives the best reasons to read. When you really need to get the reason why, this types for proofs and program...
متن کاملAssessing fear of hypoglycemia in a population - based study among parents of 1 children with type 1 diabetes – psychometric properties of the Hypoglycemia 2 Fear Survey
8 Department of Nursing and Centre for Evidence Based Practice, Bergen 9 University College, Bergen, Norway; Centre for Child and Adolescent Mental 10 Health for Eastern and Southern Norway, Oslo, Norway; Norwegian Centre for 11 Violence and Traumatic Stress Studies, Oslo, Norway; Centre for Clinical 12 Research, Department of Research and Development and Department of 13 Pediatrics, Haukeland ...
متن کاملIntersectoral Planning for Public Health: Dilemmas and Challenges
Background Intersectoral action is often presented as essential in the promotion of population health and health equity. In Norway, national public health policies are based on the Health in All Policies (HiAP) approach that promotes whole-of-government responsibility. As part of the promotion of this intersectoral responsibility, p...
متن کاملLong Waiting Times for Elective Hospital Care – Breaking the Vicious Circle by Abandoning Prioritisation
Background Policies assigning low-priority patients treatment delays for care, in order to make room for patients of higher priority arriving later, are common in secondary healthcare services today. Alternatively, each new patient could be granted the first available appointment. We aimed to investigate whether prioritisation can be part of the reason why waiting times for care are often...
متن کاملCardioprotective effect of the PPAR ligand 1 tetradecylthioacetic acid in type 2 diabetic mice
tetradecylthioacetic acid in type 2 diabetic mice 2 3 Ahmed M. Khalid, Anne Dragøy Hafstad, Terje S. Larsen, David L. Severson, Neoma 4 Boardman, Martin Hagve, Rolf K. Berge and Ellen Aasum 5 6 (Ahmed M. Khalid and Anne D. Hafstad have made equal contributions to this paper) 7 1 Cardiovascular Research Group, Department of Medical Biology, Faculty of Health 8 Sciences, University of Tromsø, Nor...
متن کامل