We present an encoding of a sequent calculus for a multiagent epistemic logic in Athena, an interactive theorem proving system for many-sorted first-order logic. We then use Athena as a metalanguage in order to reason about the multi-agent logic an as object language. This facilitates theorem proving in the multi-agent logic in several ways. First, it lets us marshal the highly efficient theore...

We present an encoding of a sequent calculus for a multiagent epistemic logic in Athena, an interactive theorem proving system for many-sorted first-order logic. We then use Athena as a metalanguage in order to reason about the multi-agent logic an as object language. This facilitates theorem proving in the multi-agent logic in several ways. First, it lets us marshal the highly efficient theore...

Multi-adjoint logic programs were recently proposed as a generalisation of monotonic and residuated logic programs introduced, in that simultaneous use of several implications in the rules and rather general connectives in the bodies are allowed. In this work, the possible existence of biresiduated pairs is considered, later, on the resulting framework of biresiduated multi-adjoint logic progra...

Functional logic programming is a multi-paradigm programming that combines the best features of functional programming and logic programming. Functional programming provides mechanisms for demand-driven evaluation, higher order functions and polymorphic typing. Logic programming deals with non-determinism, partial information and constraints. Both programming paradigms fall under the umbrella o...