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» Proof nets sequentialisation in multiplicative linear logic
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LICS
1990
IEEE
13 years 11 months ago
Normal Process Representatives
This paper discusses the relevance of a form of cut elimination theorem for linear logic tensor theories to the concept of a process on a Petri net. We base our discussion on two ...
Vijay Gehlot, Carl A. Gunter
CORR
2008
Springer
91views Education» more  CORR 2008»
13 years 7 months ago
Taming Modal Impredicativity: Superlazy Reduction
Pure, or type-free, Linear Logic proof nets are Turing complete once cut-elimination is5 considered as computation. We introduce modal impredicativity as a new form of impredicati...
Ugo Dal Lago, Luca Roversi, Luca Vercelli
ICTCS
2003
Springer
14 years 23 days ago
On the Computational Complexity of Cut-Elimination in Linear Logic
Abstract. Given two proofs in a logical system with a confluent cutelimination procedure, the cut-elimination problem (CEP) is to decide whether these proofs reduce to the same no...
Harry G. Mairson, Kazushige Terui
JELIA
1998
Springer
13 years 11 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
LICS
1991
IEEE
13 years 11 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