Reductive Logic and Proof-search Proof Theory, Semantics, and Control [Hardcover]

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

Drawing somewhat on the techniques and culture of philosophy, but mostly on those of mathematics and computing, Pyn (U. of Bath) and Ritter (U. of Birmingham) introduce reductive logic and proof-search. They argue that the reductive view of logic is at least as fundamental as the deductive view; identify some of the problems that must be addressed in order to provide a semantics of proof-searches of comparable value to the corresponding semantics of proof; and explain how to solve these problems in intuitionistic logic, which adequately models not only the logical but also the operational aspects of the reductive system. --SciTech Book News