We introduce a novel logical notion–partial entailment–to propositional logic. In contrast with classical entailment, that a formula P partially entails another formula Q with...
Artificial neural networks can be trained to perform excellently in many application areas. While they can learn from raw data to solve sophisticated recognition and analysis prob...
This work belongs to a wider effort aimed at eliminating syntactic bureaucracy from proof systems. In this paper, we present a novel cut elimination procedure for classical propos...
Abstract. In this paper, we present a logic R for rule bases by introducing a set of rule connectives. We define both the models and extensions of a rule base. The semantics of ex...
Nilsson's Probabilistic Logic is a set theoretic mechanism for reasoning with uncertainty. We propose a new way of looking at the probability constraints enforced by the fram...