A first-order logic with no logical constants.

Connecting a Logical Framework to a First-Order Logic Prover

We present one way of combining a logical framework and first-order logic. The logical framework is used as an interface to a first-order theorem prover. Its main purpose is to keep track of the structure of the proof and to deal with the high level steps, for instance, induction. The steps that involve purely propositional or simple first-order reasoning are left to a first-order resolution pr...

Logic , Reasoning and the Logical Constants

First-Order Logical Filtering

Logical filtering is the process of updating a belief state (set of possible world states) after a sequence of executed actions and perceived observations. In general, it is intractable in dynamic domains that include many objects and relationships. Still, potential applications for such domains (e.g., semantic web, autonomous agents, and partial-knowledge games) encourage research beyond immed...

First-order logical duality

From a logical point of view, Stone duality for Boolean algebras relates theories in classical propositional logic and their collections of models. The theories can be seen as presentations of Boolean algebras, and the collections of models can be topologized in such a way that the theory can be recovered from its space of models. The situation can be cast as a formal duality relating two categ...

First Order Logic with Dependent