The use of higher order logic simple type theory is often limited by its restrictive type system Set theory allows many constructions on sets that are not possible on types in higher order logic This paper presents a comparison of two theorem provers supporting set theory namely HOL ST and Isabelle ZF based on a formalization of the inverse limit construction of domain theory this construction ...

Background and Objectives: Recently, photonic crystals have been considered as the basic structures for the realization of various optical devices for high speed optical communication. Methods: In this research, two dimensional photonic crystals are used for designing all optical logic gates. A photonic crystal structure with a triangular lattice is proposed for making NAND, XNOR, and OR optica...

The word 'logic' in the title of this chapter is ambiguous. In its first meaning, a logic is a collection of closely related artificial languages. There are certain languages called first-order languages, and together they form first-order logic. In the same spirit, there are several closely related languages called modal languages, and together they form modal logic. Likewise second-order logi...

A logic LTD is defined, inspired by [37]. It is syntactically like basic modal logic with an additional unary operator but it has an interval-based semantics on structures with arbitrary linear frames. ψ is interpreted as meaning ‘the current interval has a finite partition whose all members satisfy ψ.’ LTD is translatable into weak monadic secondorder logic but not into first-order logic. The ...

This study is intended to improve the lack of recruitment processes as well as reduce individual senses of supervisory level by fuzzy logic and Analytic Hierarchy Process methods. This study tries to identify appropriate personality traits and key professional skills through the information statistics and analysis of Analytic Hierarchy Process in order to expect the recruitment process be more ...

In this paper presents a Maximum Power Point Tracking (MPPT) technique based on the Hill Climbing Search (HCS) method and fuzzy logic system for Wind Turbines (WTs) including of Permanent Magnet Synchronous Generator (PMSG) as generator. In the conventional HCS method the step size is constant, therefor both steady-state response and dynamic response of method cannot provide at the same time an...

What does it mean to write an “efficient” theorem prover for first-order intuitionistic logic? This paper suggests a possible answer to the question, following the philosophy of logic programming. We decompose intuitionistic logic into two syntactically restricted subsets: (i) the class of simple embedded implications and (ii) the class of disjunctive and existential assertions. Each of these s...