We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
We prove in this paper that if r and s are two semilinear power series in commuting variables and s has bounded coefficients, then r-s is a rational series. This result can be tho...
Abstract. Proof erasure plays an essential role in the paradigm of programming with theorem proving. In this paper, we introduce a form of attributive types that carry an attribute...
The proof theory of multi-agent epistemic logic extended with operators for distributed knowledge is studied. Distributed knowledge of A within a group G means that A follows from ...
We pursue the program of exposing the intrinsic mathematical structure of the “space of proofs” of a logical system [AJ94b]. We study the case of Multiplicative-Additive Linea...