In this paper we give a natural deduction formulation of hybrid logic. Our natural deduction system can be extended with additional inference rules corresponding to conditions on the accessibility relations expressed by so-called geometric theories. Thus, we give natural deduction systems in a uniform way for a wide class of hybrid logics which appears to be impossible in the context of ordinar...

Deduction modulo and Supernatural deduction are two extentions of predicate logic with computation rules. Whereas the application of computation rules in deduction modulo is transparent, these rules are used to build non-logical deduction rules in Supernatural deduction. In both cases, adding computation rules may jeopardize proof normalization, but various conditions have been given in both ca...

This paper introduces the configuration and investigation of Neuro-Fuzzy controller taking into account Adaptive Neuro-Fuzzy Inference System (ANFIS) structural engineering for Load recurrence control of a segregated wind-smaller scale hydro-diesel half and half power framework, to manage the recurrence deviation and force deviations. Because of the sudden burden changes and discontinuous wind ...

We introduce new proof systems for propositional logic, simple deduction Frege systems, general deduction Frege systems and nested deduction Frege systems, which augment Frege systems with variants of the deduction rule. We give upper bounds on the lengths of proofs in these systems compared to lengths in Frege proof systems. As an application we give a near-linear simulation of the proposition...

A new predicate calculus deduction system based on production rules is pro. Logical deduction is a basic activity in many artificial intelligence Al systems.ideas that support many of the useful applications of artificial intelligence. Many Rule-Based Systems Are Deduction Systems. One of the most important aspects of rule-based systems is the. For instance, in deduction systems, forward.They a...

We present rst steps towards fully automated deduction that merely requires the user to submit proof problems and pick up results. Essentially, this necessitates the automation of the crucial step in the use of a deduction system, namely choosing and connguring an appropriate search-guiding heuristic. Furthermore, we motivate why learning capabilities are pivotal for satisfactory performance. T...

The goal of this paper is to introduce a deductive system for Tichý’s Transparent Intensional Logic (TIL). Tichý defined a sequent calculus for pre-1988 TIL, that is TIL based on the simple theory of types. Thus we first briefly recapitulate the rules of this simple-type calculus. Then we describe the adjustments of the calculus so that it be applicable to hyperintensions within the ramified hi...

Mathematical deduction is not useful to the physicist if interpreted rigorously. It is necessary to know that its validity is unaltered when the premise and conclusion are only ”approximately true”. But the indeterminacy thus introduced, it is necessary to add in criticism, well invalidate the deduction unless the permissible limits of variation are specified. The same need was expressed by L.A...