Abstract In this paper we treat metasequents—objects which stand to sequents as formulas—as first class logical citizens. To end provide a metasequent calculus, sequent calculus allows us directly manipulate metasequents. We show that the various calculi consider are sound and complete w.r.t. appropriate classes of tetravaluations where validity is understood locally. Finally use our give direc...

We introduce a tableau calculus for a nonmonotonic extension of low complexity Description Logic EL that can be used to reason about typicality and defeasible properties. The calculus deals with Left Local knowledge bases in the logic EL⊥Tmin recently introduced in [8] . The calculus performs a twophase computation to check whether a query is minimally entailed from the initial knowledge base. ...

the object of this paper is to establish certain generalized fractional integration and differentiation involving generalized mittag-leffler function defined by salim and faraj [25]. the considered generalized fractional calculus operators contain the appell's function $f_3$ [2, p.224] as kernel and are introduced by saigo and maeda [23]. the marichev-saigo-maeda fractional calculus operat...

In this paper a calculus for solving the semantic matching problem with respect to left-linear or variable-preserving convergent termrewriting systems is presented. Narrowing calculi usually use advanced selection rules to reduce the search space. Our approach to designing a special calculus for special goals is another way of reducing the efficiency defects of narrowing. Our calculus construct...

We develop a coinductive calculus of streams based on the presence of a final coalgebra structure on the set of streams (infinite sequences of real numbers). The main ingredient is the notion of stream derivative, which can be used to formulate both coinductive proofs and definitions. In close analogy to classical analysis, the latter are presented as behavioural differential equations. A numbe...

A 35 years old lady presented with history of something coming out of the genitalia for the last 5 days. She also had history of pain in the left lumbar region which was initially investigated but the patient did not follow-up. About 15 years ago she also underwent left ureteric reimplantation. On examination, a stick like tube was protruding out of the urethral meatus which was fixed to the un...

1. INTRODUCTION. A common theme in all of mathematics is deciding when two seemingly different objects are actually the same in some sense. For example, every elementary school student knows that, despite outward appearances, the fractions 2/3 and 10/15 are the same. The calculus student knows that the functions f (x) = 3x and g(x) = (3x

‎‎in this paper‎, ‎the existence and uniqueness of positive solutions for a class of nonlinear initial value problem for a finite fractional difference equation obtained by constructing the upper and lower control functions of nonlinear term without any monotone requirement‎ .‎the solutions of fractional difference equation are the size of tumor in model tumor growth described by the gompertz f...