Abstract. We investigate the question of what constitutes a proof when quantifiers and multiplicative units are both present. On the technical level this paper provides two new as...
Abstract. In this paper we show how to extend a constructive type theory with a principle that captures the spirit of Markov’s principle from constructive recursive mathematics. ...
In this paper we bring together the areas of combinatorics and propositional satisfiability. Many combinatorial theorems establish, often constructively, the existence of positive...
Michael R. Dransfield, Lengning Liu, Victor W. Mar...
In a peer-to-peer inference system, there is no centralized control or hierarchical organization: each peer is equivalent in functionality and cooperates with other peers in order...
Philippe Chatalic, Gia Hien Nguyen, Marie-Christin...
Abstract. We present a theory of proof denotations in classical propologic. The abstract definition is in terms of a semiring of weights, and two concrete instances are explored. ...