We define the notion of ordinal computability by generalizing standard Turing computability on tapes of length ω to computations on tapes of arbitrary ordinal length. The general...
Abstract. Church's Problem, stated fifty years ago, asks for a finitestate machine that realizes the transformation of an infinite sequence into an infinite sequence such tha...
This paper contributes towards establishing the category QCB, of topological quotients of countably based spaces, and its subcategory TP, of topological predomains, as a flexible ...
A specification theory combines notions of specifications and implementations with a satisfaction relation, a refinement relation and a set of operators supporting stepwise design...
Alexandre David, Kim G. Larsen, Axel Legay, Ulrik ...
Leftist grammars [Motwani et al., STOC 2000] are special semi-Thue systems where symbols can only insert or erase to their left. We develop a theory of leftist grammars seen as wor...