In this paper we consider an extension of the answer set semantics allowing arbitrary use of strong negation. We prove that the strong negation extension of any intermediate logic ...
General Epistemic Logics suffer from the problem of logical omniscience, which is that an agent's knowledge and beliefs are closed under implication. There have been many att...
In this paper we investigate the addition of arbitrary independent involutive negations to t-norm based logics. We deal with several extensions of MTL and establish general comple...
Logical connectives familiar from the study of hybrid logic can be added to the logical framework LF, a constructive type theory of dependent functions. This extension turns out t...