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Different types of arrow between logical frameworks

by: Till Mossakowski
Automata, Languages and Programming (1996), pp. 158-169.


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We argue that there are problems with the distinction between signatures and sentences within the notion of institution. While the distinction is useful and necessary, maps between institutions ofter have to go beyond this distinction. Therefore, three new notions of map between institutions, conjunctive maps, weak maps and semi-maps, have been introduced. These allow to relax the distinction between signatures and sentences while still being sentence-structured, opposed to mere maps of specification frames.


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