Non-commutative logic II: sequent calculus and phase semantics
2000 ◽
Vol 10
(2)
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pp. 277-312
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Keyword(s):
Non-commutative logic, which is a unification of commutative linear logic and cyclic linear logic, is extended to all linear connectives: additives, exponentials and constants. We give two equivalent versions of the sequent calculus (directly with the structure of order varieties, and with their presentations as partial orders), phase semantics and a cut-elimination theorem. This involves, in particular, the study of the entropy relation between partial orders, and the introduction of a special class of order varieties: the series–parallel order varieties.
2018 ◽
Vol 29
(8)
◽
pp. 1177-1216
2007 ◽
Vol 17
(5)
◽
pp. 957-1027
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Keyword(s):
Keyword(s):
2020 ◽
Vol 30
(1)
◽
pp. 157-174
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Keyword(s):
Keyword(s):
2014 ◽
Vol 26
(3)
◽
pp. 367-423
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Keyword(s):
2005 ◽
Vol 70
(4)
◽
pp. 1108-1126
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