Development of Entrepreneurial Class

Abstract

Cut-elimination theorems constitute one of the most important classes of theorems of proof theory. Since Gentzen's proof of the cut-elimination theorem for the system LK, several other proofs have been proposed. Even though the techniques of these proofs can be modified to sequent systems other than LK, they are essentially of a very particular nature; each of them describes an algorithm to transform a given proof to a cut-free proof. However, due to its reliance on heavy syntactic arguments and case distinctions, such an algorithm makes the fundamental structure of the argument rather opaque. We, therefore, consider rules abstractly, within the framework of logical structures familiar from universal logic in the sense of [2] and aim to clarify the essence of the so-called "elimination theorems". To do this, we first give a non-algorithmic proof of the cut-elimination theorem for the propositional fragment of LK. From this proof, we abstract the essential features of the argument and define something called normal sequent structures relative to a particular rule. We then prove a version of the rule-elimination theorem for these. Abstracting even more, we define abstract sequent structures and show that for these structures, the corresponding version of the rule-elimination theorem has a converse as well.

Model of Raw Material Inventory Control for Pinisi Shipbuilding in Bulukumba Regency, Indonesia

“…The inventory control method with the EOQ (Economic Order Quantity) method is an approach to determine the optimal number of orders that must be made to minimize the total cost of inventory. The EOQ method is based on the assumption that demand for inventory is constant, order costs are fixed, inventory holding costs are constant per unit and there are no delays in supply delivery (Roy, 2005;Mujiastuti, et al, 2018).…”

Historical Perspective: The Antiquity of Exercise, Exercise Physiology and the Exercise Prescription for Health

“…Archeological excavations in the Indus Valley of India, first described by Sir John Marshall [5] included Moenjodaro (in Sind) and Harappa (in Punjab) indicated the existence of an ancient Aryan civilization that select historians [20-23] believe was operational earlier than shown by the upper limit of the carbon dating value of 3300 BC [24]. Detailed descriptions of the excavations by Marshall as well as by Chowdhury and Chawdhury [25] revealed an advanced culture that had a concern for sanitation and public health as demonstrated by their water and sewage draining systems and by their massive public bathing building.…”