This volume presents the lecture notes of short courses given by three leading experts in mathematical logic at the 2012 Asian Initiative for Infinity Logic Summer School. The major topics cover set-theoretic forcing, higher recursion theory, and applications of set theory to C*-algebra. This volume offers a wide spectrum of ideas and techniques introduced in contemporary research in the field of mathematical logic to students, researchers and mathematicians.Contents:

• Selected Applications of Logic to Classification Problem for C*-Algebras (Ilijas Farah)
• Subcomplete Forcing and L-Forcing (Ronald Jensen)
• E-Recursion (Gerald E Sacks)

Readership: Mathematics graduate students, researchers in logic, set theory and related areas. Key Features:

• These are notes based on short courses given by three leading experts in set theory, recursion theory and their applications