Analysis and Synthesis of Logics: How to Cut and Paste Reasoning Systems / Edition 1 available in Hardcover
- Pub. Date:
- Springer Netherlands
Starting with simple examples showing the relevance of cutting and pasting logics, the monograph develops a mathematical theory of combining and decomposing logics, ranging from propositional and first-order based logics to higher-order based logics as well as to non-truth functional logics. The theory covers mechanisms for combining semantic structures and deductive systems either of the same or different nature. The issue of preservation of properties is addressed.
Table of Contents
Introductory overview.- Splicing logics: Syntactic fibring.- Splicing logics: Semantic fibring.- Heterogeneous fibring.- Fibring non-truth functional logics.- Fibring first-order logics.- Fibring higher-order logics.- Modulated fibring.- Splitting logics.- New trends: Network fibring.- Summing-up and outlook.