Goal-Directed Proof Theory

2000
ISBN: 978-0-7923-6473-3
Verlag: Springer Netherlands

Buch, Englisch, 268 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1270 g

Goal Directed Proof Theory presents a uniform and coherent methodology for automated deduction in non-classical logics, the relevance of which to computer science is now widely acknowledged. The methodology is based on goal-directed provability. It is a generalization of the logic programming style of deduction, and it is particularly favourable for proof search. The methodology is applied for the first time in a uniform way to a wide range of non-classical systems, covering intuitionistic, intermediate, modal and substructural logics. The book can also be used as an introduction to these logical systems form a procedural perspective.

Readership: Computer scientists, mathematicians and philosophers, and anyone interested in the automation of reasoning based on non-classical logics. The book is suitable for self study, its only prerequisite being some elementary knowledge of logic and proof theory.

Zielgruppe

Research

Autoren/Hrsg.

Olivetti, N.

Gabbay, Dov M.

Fachgebiete

• Geisteswissenschaften Philosophie Philosophische Logik, Argumentationstheorie
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Prozedurale Programmierung
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik

Inhaltsverzeichnis

1 Introduction.- 2 Intuitionistic and Classical Logics.- 3 Intermediate Logics.- 4 Modal Logics of Strict Implication.- 5 Substructural Logics.- 6 Conclusions and Further Work.