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D. Hilbert, in his famous program, formulated many open mathematical problems which were stimulating for the development of mathematics and a fruitful source of very deep and fundamental ideas. During the whole 20th century, mathematicians and specialists in other fields have been solving problems which can be traced back to Hilbert's program, and today there are many basic results stimulated by this program. It is sure that even at the beginning of the third millennium, mathematicians will still have much to do. One of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe ...
Reprint of the original, first published in 1875. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.
This volume contains the proceedings of the 11th International Conference on Veri?cation, Model Checking, and Abstract Interpretation (VMCAI 2010), held in Madrid, Spain, January 17–19, 2010. VMCAI 2010 was the 11th in a series of meetings. Previous meetings were held in Port Je?erson (1997), Pisa (1998), Venice (2002), New York (2003), Venice(2004),Paris(2005),Charleston(2006),Nice(2007),SanFrancisco(2008), and Savannah (2009). VMCAI centers on state-of-the-art research relevant to analysis of programs and systems and drawn from three research communities: veri?cation, model checking, and abstract interpretation. A goal is to facilitate interaction, cro- fertilization, and the advance of hybrid methods that combine two or all three areas. Topics covered by VMCAI include program veri?cation, program cert- cation, model checking, debugging techniques, abstract interpretation, abstract domains, static analysis, type systems, deductive methods, and optimization. The Program Committee selected 21 papers out of 57 submissions based on anonymous reviews and discussions in an electronic Program Committee me- ing. The principal selection criteria were relevance and quality.