Shortwood Mechanization

The Mechanization of Mathematics

The mechanization of mathematics refers to the use of computers to find, or to help find, mathematical proofs. Turing showed that a complete reduction of mathematics to computation is not possible, but nevertheless the art and science of automated deduction has made progress. This paper describes some of the history and surveys the state of the art.

Structural Embeddings: Mechanization with Method

The most powerful tools for analysis of formal speci cations are general-purpose theorem provers and model checkers, but these tools provide scant methodological support. Conversely, those approaches that do provide a well-developed method generally have less powerful automation. It is natural, therefore, to try to combine the better-developed methods with the more powerful general-purpose tool...

A Mechanization of Type Theory

A r e f u t a t i o n a l sys tem o f l o g i c f o r a l a n g u a g e o f o r d e r w i a p r e s e n t e d . T h i s langage i s a s l i g h t m o d i f i c a t i o n o f C h u r c h ' s \ c a l c u l u s w i t h t y p e s . The sys tem i s c o m p l e t e , i n the sense t h a t a r e f u t a t i o n o f a s e t o f sen tences e x i s t s i f and o n l y i f t h i s s e t does n o t possess...

A Mechanization of Phylogenetic Trees

Training Systems for Mechanization in Vineyards

Most 'Concord' vineyards in Arkansas have been trained to the Umbrella Kniffin (UK) system and pruned to a 30+10 schedule. In the Geneva Double Curtain (GDC) training system (a 1.2 m divided double curtain "T" type trellis) shoots are positioned vertically toward the vineyard floor. Under northern conditions, this system allows better distribution of fruiting spurs, reduced shading of interior ...