We show that the following problem is decidable: given expressions E1 and E2 constructed from variables by the regular operations and shuffle, is the identity E1 = E2 true for all...
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
In this paper we present an alternative order-theoretic proof of the Banach fixed point theorem for selfmaps on complete metric spaces which is based on formal balls and, contrary...
We give two generic proofs for cut elimination in propositional modal logics, interpreted over coalgebras. We first investigate semantic coherence conditions between the axiomati...
In [6], we proved an asymptotic O(n−α/(α+1)) bound for the approximation of SU(N) loops (N ≥ 2) with Lipschitz smoothness α > 1/2 by polynomial loops of degree ≤ n. Th...