LAP Lambert Academic Publishing ( 2011-03-29 )
€ 79,00
This book introduces some extensions of resource- aware logics, and shows some fundamental (e.g., cut- elimination and completeness) theorems for these extensions. By resource-aware logics, we mean substructural logics without the structural rule of contraction in Gentzen-type sequent calculi. Typical examples of these resource-aware logics are linear logics, which are known to be useful for describing concurrent systems, and non-commutative logics, which are known to be useful for formalizing grammatical reasoning. These logics are known to be appropriate for representing resource-sensitive reasoning. In this book, we study (1) some temporal extensions (i.e., extensions by adding some temporal operators) of linear and non-commutative logics, (2) some generalizations of these temporal linear and non-commutative logics, (3) some paraconsistent and involutive extensions (i.e., extensions by adding a paraconsistent negation connective or an involution operator) of linear and non-commutative logics.
Book Details: |
|
ISBN-13: |
978-3-8443-2428-0 |
ISBN-10: |
3844324283 |
EAN: |
9783844324280 |
Book language: |
English |
By (author) : |
Norihiro Kamide |
Number of pages: |
268 |
Published on: |
2011-03-29 |
Category: |
General Natural Sciences |