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

Enayat, Ali (EDT)/ Kalantari, Iraj (EDT)/ Moniri, Mojtaba (EDT)

A K Peters（2006/05発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 362 p.
• 言語 ENG
• 商品コード 9781568812960
• DDC分類 511.3

Full Description

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.

Contents

Preface, Workshop and conference on logic, algebra, and arithmetic: Tehran, October 18-22,2003, Foreword, Mathematical logic in Iran: A perspective, Real closed fields and IP-sensitivity, Categoricity and quantifier elimination for intuitionistic theories, Primes and irreducibles in truncation integer parts of real closed fields, On explicit definability in arithmetic, From bounded arithmetic to second order arithmetic via Automorphisms, Local-global principles and approximation theorems, Beatty sequences and the arithmetical hierarchy, Specker's theorem, cluster points, and computable quantum Functions, Additive polynomials and their role in the model theory of valued Field, 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, Remarks on algebraic D-varieties and the model theory of differential fields, A simple positive Robinson theory with LSTP of STP, Categories of theories and interpretations.