Proof Theory of Modal Logic (Applied Logic Series)
Edition: 1 edition
Publisher: Springer
Published: December 31, 1899
Language: eng
Format: Hardcover
Number of pages: 328
ISBN-13: 9780792341208
Subjects: Philosophy Of Mathematics; Model Theory; Mathematics; Philosophy; Science/Mathematics; Proof theory; Logic; Mathematics : Logic; Philosophy / Logic; Congresses; Modality (Logic)
First sentence: Theorem proving in the modal logic S4 is notoriously difficult, because in conventional sequent style calculi for this logic lengths of deductions are not bounded in terms of the length of their endsequent.
Description: This volume deals with formal, mechanizable reasoning in modal logics, that is, logics of necessity, possibility, belief, time computations etc. It is therefore of immense interest for various interrelated disciplines such as philosophy, AI, computer science, logic, cognitive science and linguistics.

The book consists of 15 original research papers, divided into three parts. The first part contains papers which give a profound description of powerful proof-theoretic methods as applied to the normal modal logic S4. Part II is concerned with a number of generalizations of the standard proof-theoretic formats, while the third part presents new and important results on semantics-based proof systems for modal logic.