A Foundational View on Integration Problems

Abstract
The integration of reasoning and computation services across system and language boundaries has been mostly treated from an engineering perspective. In this paper we take a foundational point of view. We identify the following form of integration problems: an informal (mathematical; i.e, logically underspecified) specification has multiple concrete formal implementations between which queries and results have to be transported. The integration challenge consists in dealing with the implementation-specific details such as additional constants and properties. We pinpoint their role in safe and unsafe integration schemes and propose a proof-theoretic solution based on modular theory-graphs that include the meta-logical foundations. This also gives a clean conceptual basis for earlier attempts that explain integration via “content/semantic markup”.
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