Programs and Abstract Complexity A. Beckmann University of Wales Swansea Swansea, UK Axiom systems are ubiquitous in mathematical logic, one famous and well studied example being ï...
The logic of proofs is known to be complete for the semantics of proofs in PA. In this paper we present a refinement of this theorem, we will show that we can assure that all the ...
In this paper we give reconstruction algorithms for depth-3 arithmetic circuits with k multiplication gates (also known as ΣΠΣ(k) circuits), where k = O(1). Namely, we give an ...
We show that proving exponential lower bounds on depth four arithmetic circuits imply exponential lower bounds for unrestricted depth arithmetic circuits. In other words, for expo...
We address the problem of a finite delay constraint in an arithmetic coding system. Due to the nature of the arithmetic coding process, source sequences causing arbitrarily large ...