—Alan Turing proposed a test for the intelligence of machines in 1950 [1]. Despite great efforts, no computer has passed this test so far. Each year, chat bots compete for the Lo...
Abstract. We develop techniques to investigate relativized hierarchical unambiguous computation. We apply our techniques to push forward some known constructs involving relativized...
The busy beaver is an example of a function which is not computable. It is based on a particular class of Turing machines, and is defined as the largest number of 1's that ca...
A computably enumerable (c.e.) degree is a maximal contiguous degree if it is contiguous and no c.e. degree strictly above it is contiguous. We show that there are infinitely many ...
In [7] Nash, Remmel, and Vianu have raised the question whether a logic L, already introduced by Gurevich in 1988, captures polynomial time, and they give a reformulation of this ...