Proof and Computation

ISBN-13: 9783642793639 / Angielski / Miękka / 2011 / 470 str.

Helmut Schwichtenberg

Opis

Logical concepts and methods are of growing importance in many areas of computer science. The proofs-as-programs paradigm and the wide acceptance of Prolog show this clearly. The logical notion of a formal proof in various constructive systems can be viewed as a very explicit way to describe a computation procedure. Also conversely, the development of logical systems has been influenced by accumulating knowledge on rewriting and unification techniques. This volume contains a series of lectures by leading researchers giving a presentation of new ideas on the impact of the concept of a formal proof on computation theory. The subjects covered are: specification and abstract data types, proving techniques, constructive methods, linear logic, and concurrency and logic.

Spis treści

Program Development by Proof Transformation.- Concurrent Processes and Petri Nets.- Using Reflection to Explain and Enhance Type Theory.- On Geometry of Interaction.- Behavioural Specifications.- A Deductive Approach to Logic Programming.- Rewrite Proofs and Computations.- Action Structures and the Pi Calculus.- Linear Logic and Computation: A Survey.- Computable Functions on Stream Algebras.- The Proof Theoretic Complexity of Recursive Programs.