A Framework for Developing Embeddable Customized Logics

Logic-based applications often use customized logics which are composed of several logics. These customized logics are also often embedded as a black-box in an application. Their implementation requires the speciication of a well-deened interface with common operations such as a parser, a printer, and a theorem prover. In order to be able to compose these logics, one must also deene composition laws, and prove their properties. We present the principles of logic functors and their compositions for constructing customized logics. An important issue is how the operations of diierent sublogics inter-operate. We propose a formalization of the logic functors, their semantics, implementations, and their composition.