David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
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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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