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.
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.
First book addressing both composition and decomposition of logics
Tool box for combining and decomposing logics in different guises
Several examples in such diverse areas as software specification, knowledge representation, argumentation theory, networks, security protocols and quantum computing
Written by internationally leading researchers in the field of pure and applied logic and philosophy