Lecture Notes in Logic #26: Logic in Tehran: Proceedings of the Workshop and Conference on Logic, Algebra, and Arithmetic, Held October 18-22, 2003, Lecture Notes

This proceedings volume contains research papers in mathematical logic, especially in model theory and its applications to algebra and formal theories of arithmetic. Other papers address interpretability theory, computable analysis, modal logic, and the history of mathematical logic in Iran. The conference was held in Tehran, Iran, in October 2003, with the expressed purpose of bringing together researchers with connections to Iranian logicians and promoting further research in mathematical logic in Iran.

These proceedings from the October 2003 workshop and conference include invited and contributed talks on mathematical logic. Topics include real closed fields and IP-sensitivity, categoricity and quantifier elimination for intuitive theories, primes and irreducibles in truncation integer parts of real closed fields, explicit definability in arithmetic, bounded arithmetic to second order arithmetic by way of automorphisms, local-global principles and approximation theorems, Beatty sequences and the arithmetic hierarchy, Specker's theorem and its relation to cluster points and computable quantum functions, additive polynomials and their role in the model theory of valued fields, dense subfields of henselian fields and integer parts, a recursive nonstandard model for open induction with GCD property and cofinal primes, model theory of bounded arithmetic with applications to independence results, Ibn-Sina's anticipation of the formulas of Buridan and Barcan, algebraic D-varieties and the model theory of differential fields, a simple positive Robinson theory, and categories of theories and interpretations. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)