Some programming languages for LOGSPACE and PTIME

Guillaume Bonfante 1
1 CALLIGRAMME - Linear logic, proof networks and categorial grammars
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We propose two characterizations of complexity classes by means of programming languages. The first concerns Logspace while the second leads to Ptime. This latter characterization shows that adding a choice command to a Ptime language (the language WHILE of Jones) may not necessarily provide NPtime computations. The result is close to Cook who used “auxiliary push-down automata”. Logspace is obtained through a decidable mechanism of tiering. It is based on an analysis of deforestation due to Wadler in. We get also a characterization of NLogspace.
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Guillaume Bonfante. Some programming languages for LOGSPACE and PTIME. 11th International Conference on Algebraic Methodology and Software Technology - AMAST'06, Jul 2006, Kuresaare/Estonie. ⟨inria-00105744⟩

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