We introduce a framework for presenting non-classical logics in a modular and uniform way as labelled natural deduction systems. The use of algebras of truth-values as the labelling algebras of our systems allows us to give generalized systems for multiple-valued logics. More specifically, our framework generalizes previous work where labels represent worlds in the underlying Kripke structure: ...

Multiple-valued logics can be effectively used to reason about incomplete and/or inconsistent systems, e.g. during early software requirements or as the systems evolve. We specify multiple-valued logics using finite lattices. In this paper, we use lattice representation theory to cast the multiple-valued modelchecking problem in terms of symbolic operations on classical sets of states, provided...

We present a general way that allows to construct systematically analytic calculi for a large family of non-Archimedean many-valued logics: hyperrational-valued, hyperreal-valued, and p-adic valued logics characterized by a special format of semantics with an appropriate rejection of Archimedes’ axiom. These logics are built as different extensions of standard many-valued logics (namely, Lukasi...

Due to the high density and the low consumption power in the digital integrated circuits, mostly technology of CMOS is used. During the past times, the Metal oxide silicon field effect transistors (MOSFET) had been used for the design and implementation of the digital integrated circuits because they are compact and also they have the less consumption power and delay to the other transistors. B...

One of the obstacles against the use of tableau-based theorem provers for non-standard logics is the ineeciency of tableau systems in practical applications, though they are highly intuitive and extremely exible from a proof theoretical point of view. We present a method for increasing the eeciency of tableau systems in the case of multiple-valued logics by introducing a generalized notion of s...

Due to the high density and the low consumption power in the digital integrated circuits, mostly technology of CMOS is used. During the past times, the Metal oxide silicon field effect transistors (MOSFET) had been used for the design and implementation of the digital integrated circuits because they are compact and also they have the less consumption power and delay to the other transistors. B...

We contribute to the theory of implications and conjunctions related by adjointness, in multiple-valued logics. We suggest their use in Zadeh s compositional rule of inference, to interpret generalized modus ponens inference schemata. We provide new complete characterizations of implications that distinguish left arguments, implications that satisfy the exchange principle, divisible conjunction...