This accessible and comprehensive volume addresses modern developments in semantics and logic of computation and will be an important source for graduate students and researchers working in this area.

Summer school lecture courses on modern logic and computation are presented here.

This book brings together philosophers, mathematicians and logicians to explore important problems in the philosophy and foundations of mathematics. Contrasts classical logic and set theory with predicativistic constructivism based on Martin-Lof type theory.

This book brings together philosophers, mathematicians and logicians to penetrate important problems in the philosophy and foundations of mathematics. In philosophy, one has been concerned with the opposition between constructivism and classical mathematics and the different ontological and epistemological views that are reflected in this opposition. The dominant foundational framework for current mathematics is classical logic and set theory with the axiom of choice (ZFC). This framework is, however, laden with philosophical difficulties. One important alternative foundational programme that...