In this paper we study the relation between reversible and irreversible computation applicable to different models of computation -- here we are considering classical and quantum ...
We give a broad discussion of reflection principles in explicit mathematics, thereby addressing various kinds of universe existence principles. The proof-theoretic strength of the...
Computational phonology studies sound patterns in the world’s languages from a computational perspective. This article shows that the similarities between different generative t...
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
Abstract. We present a personal view and strategy for algorithm-supported mathematical theory exploration and draw some conclusions for the desirable functionality of future mathem...