Cut Elimination in Categories


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Proof theory and category theory were first drawn together by Lambek some 30 years ago but, until now, the most fundamental notions of category theory (as opposed to their embodiments in logic) have not been explained systematically in terms of proof theory. Here it is shown that these notions, in particular the notion of adjunction, can be formulated in such as way as to be characterised by composition elimination. Among the benefits of these composition-free formulations are syntactical and simple model-theoretical ...

Cut Elimination in Categories 2010, Springer, Dordrecht

ISBN-13: 9789048152261


Cut Elimination in Categories 1999, Springer, Dordrecht, Netherlands

ISBN-13: 9780792357209

1999 edition