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LICS
1991
IEEE
13 years 9 months ago
Logic Programming in a Fragment of Intuitionistic Linear Logic
When logic programming is based on the proof theory of intuitionistic logic, it is natural to allow implications in goals and in the bodies of clauses. Attempting to prove a goal ...
Joshua S. Hodas, Dale Miller
ICALP
2004
Springer
13 years 11 months ago
A Categorical Model for the Geometry of Interaction
We consider the multiplicative and exponential fragment of linear logic (MELL) and give a Geometry of Interaction (GoI) semantics for it based on unique decomposition categories. ...
Esfandiar Haghverdi, Philip J. Scott
CTCS
1989
Springer
13 years 9 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
JELIA
1998
Springer
13 years 10 months ago
A Matrix Characterization for MELL
We present a matrix characterization of logical validity in the multiplicative fragment of linear logic with exponentials. In the process we elaborate a methodology for proving mat...
Heiko Mantel, Christoph Kreitz
CSL
2001
Springer
13 years 10 months ago
Non-commutativity and MELL in the Calculus of Structures
We introduce the calculus of structures: it is more general than the sequent calculus and it allows for cut elimination and the subformula property. We show a simple extension of m...
Alessio Guglielmi, Lutz Straßburger