A PSPACE-complete fragment of second-order linear logic

A PSPACE-complete fragment of second-order linear logic

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 establi...

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Veröffentlicht in:Theoretical computer science 1999-08, Vol.224 (1), p.267-289
1. Verfasser: Perrier, G.
Format: Artikel
Sprache:eng
Schlagworte:
Computer Science
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Zusammenfassung: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.
ISSN:0304-3975
1879-2294
DOI:10.1016/S0304-3975(98)00315-6