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» Linear Logic, Totality and Full Completeness
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LICS
1994
IEEE
13 years 9 months ago
Linear Logic, Totality and Full Completeness
I give a `totality space' model for linear logic [4], detaking an abstract view of computations on a datatype. The model has similarities with both the coherence space model ...
Ralph Loader
LICS
1999
IEEE
13 years 9 months ago
Full Completeness of the Multiplicative Linear Logic of Chu Spaces
We prove full completeness of multiplicative linear logic (MLL) without MIX under the Chu interpretation. In particular we show that the cut-free proofs of MLL theorems are in a n...
Harish Devarajan, Dominic J. D. Hughes, Gordon D. ...
LICS
1999
IEEE
13 years 9 months ago
Concurrent Games and Full Completeness
A new concurrent form of game semantics is introduced. This overcomes the problems which had arisen with previous, sequential forms of game semantics in modelling Linear Logic. It...
Samson Abramsky, Paul-André Melliès
TLCA
2009
Springer
13 years 11 months ago
Algebraic Totality, towards Completeness
Finiteness spaces constitute a categorical model of Linear Logic whose objects can be seen as linearly topologised spaces, (a class of topological vector spaces introduced by Lefsc...
Christine Tasson
APAL
2005
89views more  APAL 2005»
13 years 4 months ago
Softness of hypercoherences and MALL full completeness
We prove a full completeness theorem for multiplicative-additive linear logic (i.e. MALL) using a double gluing construction applied to Ehrhard's -autonomous category of hype...
Richard Blute, Masahiro Hamano, Philip J. Scott