| S. Mac Lane (ed.), Coherence in Categories, Lecture Notes in Mathematics 281 (Springer, 1972) |
....generating free categories resembled proof derivation in the Gentzen style calculi of sequents. In [26] he formalized the view of arrows as labelled proofs from and used the cut elimination to deal with some categorical questions. Category theory promptly accepted the proof theoretical methods [34], but proof theory never really profited from categorical methods 1 except perhaps indirectly, through categorical semantics of type theories, still based on Lambek s ideas [28] Lawvere s ideas, on the other hand, seem to be leading beyond type theory. The keyword is adjunction. It reduces ....
S. Mac Lane (ed.), Coherence in Categories, Lecture Notes in Mathematics 281 (Springer, 1972)
....generating free categories resembled proof derivation in the Gentzen style calculi of sequents. In [26] he formalized the view of arrows as labelled proofs from and used the cut elimination to deal with some categorical questions. Category theory promptly accepted the proof theoretical methods [34], but proof theory never really profited from categorical methods 1 except perhaps indirectly, through categorical semantics of type theories, still based on Lambek s ideas [28] Lawvere s ideas, on the other hand, seem to be leading beyond type theory. The keyword is adjunction. It reduces ....
S. Mac Lane (ed.), Coherence in Categories, Lecture Notes in Mathematics 281 (Springer, 1972)
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