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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.
| Autorius: | Norihiro Kamide |
| Leidėjas: | LAP LAMBERT Academic Publishing |
| Išleidimo metai: | 2011 |
| Knygos puslapių skaičius: | 268 |
| ISBN-10: | 3844324283 |
| ISBN-13: | 9783844324280 |
| Formatas: | 220 x 150 x 17 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Extending resource-aware logics: Proof systems, semantics and applications“
