We give machine characterisations and logical descriptions of a number of parameterized complexity classes. The focus of our attention is the class W[P], which we characterise as ...
Existing definitions of the relativizations of NC1 , L and NL do not preserve the inclusions NC1 ⊆ L, NL ⊆ AC1 . We start by giving the first definitions that preserve them....
Complexity theory typically studies the complexity of computing a function h(x) : {0, 1}m {0, 1}n of a given input x. A few works have suggested to study the complexity of genera...
By a Euclidean logic, we understand a formal language whose variables range over subsets of Euclidean space, of some fixed dimension, and whose non-logical primitives have fixed me...
t This paper describes how recent linguistic results in explaining Japanese short and long distance scram hling (:an be directly incorporated into an existing principles-and-parame...