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» A Term Calculus for Intuitionistic Linear Logic
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CSL
2005
Springer
14 years 1 months ago
Permutative Logic
Recent work establishes a direct link between the complexity of a linear logic proof in terms of the exchange rule and the topological complexity of its corresponding proof net, ex...
Jean-Marc Andreoli, Gabriele Pulcini, Paul Ruet
FM
2001
Springer
130views Formal Methods» more  FM 2001»
14 years 1 days ago
Towards a Topos Theoretic Foundation for the Irish School of Constructive Mathematics
The Irish School of Constructive Mathematics (M♣ c ), which extends the VDM, exploits an algebraic notation based upon monoids and their morphisms for the purposes of abstract mo...
Mícheál Mac an Airchinnigh
CSL
2010
Springer
13 years 8 months ago
Ordered Sets in the Calculus of Data Structures
Our goal is to identify families of relations that are useful for reasoning about software. We describe such families using decidable quantifier-free classes of logical constraints...
Viktor Kuncak, Ruzica Piskac, Philippe Suter
CTCS
1989
Springer
13 years 11 months ago
Quantitative Domains, Groupoids and Linear Logic
We introduce the notion of a candidate for “multiple valued universal constructions” and define stable functors (which generalise functors with left adjoints) in terms of fac...
Paul Taylor 0002
CSL
2009
Springer
14 years 2 months ago
Focalisation and Classical Realisability
We develop a polarised variant of Curien and Herbelin’s ¯λµ˜µ calculus suitable for sequent calculi that admit a focalising cut elimination (i.e. whose proofs are focalised ...
Guillaume Munch-Maccagnoni