This book is a specialized monograph on the development of the mathematical and computational metatheory of reductive logic and proof-search including proof-theoretic, semantic/model-theoretic and algorithmic aspects. The scope ranges from the conceptual background to reductive logic, through its mathematical metatheory, to its modern applications in the computational sciences.

• Preface


• Foreword by Lincoln Wallen


• 1: Deductive Logic, Reductive Logic, and Proof-search


• 2: Lambda-calculi for Intuitionistic and Classical Proofs


• 3: The Semantics of Intuitionistic and Classical Proofs


• 4: Proof Theory for Reductive Logic


• 5: Semantics for Reductive Logic


• 6: Intuitionistic and Classical Proof-search and Their Semantics


• References


• Index

David J. Pym hold a Royal Society Industry Fellowship at Hewlett-Packard Laboratories, Bristol and the University of Bath.