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A PSPACE-complete fragment of second-order linear logic

Guy Perrier 1
1 CALLIGRAMME - Linear logic, proof networks and categorial grammars
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : Existentially quantified variables are the source of non decidability for second order linear logic without exponentials (MALL2). We present a decision procedure for a fragment of MALL2 based on a canonical instantiation of these variables and using inference permutability in proofs. We also establish that this fragment is PSPACE-complete.
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Submitted on : Tuesday, September 26, 2006 - 8:38:49 AM
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  • HAL Id : inria-00098816, version 1



Guy Perrier. A PSPACE-complete fragment of second-order linear logic. Theoretical Computer Science, Elsevier, 1999, 224 (1-2), pp.267-289. ⟨inria-00098816⟩



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