We expose a strict hierarchy within monotone monadic strict NP without inequalities (MMSNP), based on the number of second-order monadic quantifiers. We do this by studying a fin...
Abstract. We consider an extensional version, called qmTT, of the intensional Minimal Type Theory mTT, introduced in a previous paper with G. Sambin, enriched with proof-irrelevanc...
Winfree (1998) showed that discrete Sierpinski triangles can self-assemble in the Tile Assembly Model. A striking molecular realization of this self-assembly, using DNA tiles a fe...
In the standard model of inductive inference, a learner gets as input the graph of a function, and has to discover (in the limit) a program for the function. In this paper, we cons...
We study Post’s Problem for the ordinal register machines defined in [6], showing that its general solution is positive, but that any set of ordinals solving it must be unbounde...
Abstract. The Ordinal Register Machine (ORM) is one of several different machine models for infinitary computability. We classify, by complexity, the sets that can be decided quic...
Joel David Hamkins, David Linetsky, Russell G. Mil...
In the framework of parameterized complexity, exploring how one parameter affects the complexity of a different parameterized (or unparameterized problem) is of general interest....
Geometrical Computation and the Linear Blum, Shub and Smale Model Geometrical Computation and the Linear Blum, Shub and Smale Model J´erˆome Durand-Lose Laboratoire d’Informati...