Abstract—We investigate some basic questions about the interaction of regular and rational relations on words. The primary motivation comes from the study of logics for querying ...
Consider the initial-value problem with computable parameters dx dt = p(t, x) x(t0) = x0, where p : Rn+1 Rn is a vector of polynomials and (t0, x0) Rn+1 . We show that the proble...
We propose here an extension of Rice's Theorem to first-order logic, proven by totally elementary means. If P is any property defined over the collection of all first-order t...
Existing undecidability proofs of checking secrecy of cryptographic protocols have the limitations of not considering protocols common in literature, which are in the form of comm...
In this paper, we complete the construction of paper [9, 11]. Together with the proof contained in [9, 11], this paper definitely proves that the general problem of tiling the hy...