Stilman coined the term "Linguistic Geometry" (LG) as a name for the new theory for solving Abstract Board Games. After 1991, this research continued at the University of Colorado at Denver, USA. In 1995, V. Yakhnis joined the LG effort. In the 1990s, it was shown that LG is applicable to a wide class of higher-dimensional, multi-agent games with concurrently moving agents, which are ideally suited for combat planning and control. Also, it was proved that for several classes of games LG generates optimal strategies in polynomial time. This groundbreaking result also suggests that for much wider classes of games LG strategies are also optimal or close to optimal. Over a hundred papers on LG have been published. Stilman wrote the first scholarly book on LG, Search to Construction, published in February 2000. Over the last two years, defense applications of LG have attracted so much attention at the Defense Advanced Research Projects Agency (DARPA), Rockwell, and Boeing that the number of LG-based projects has skyrocketed. In 1999, recognizing the maturity and power of this technology, a group of scientists, engineers, and entrepreneurs founded a company, STILMAN Advanced Strategies, to facilitate development of government and commercial applications of LG.
Linguistic Geometry (LG) is a type of game theory for extensive discrete games scalable to the level of real life defense systems. This scalability is based on changing the paradigm for game solving: from search to construction. LG was developed by generalizing experiences of the advanced chess players. In this paper we embolden further a hypothesis that LG is an objective reality that existed long before the invention of the game of chess. We suggest that LG is a formal model of human thinking about armed conflict, a mental reality that existed for thousands of years.LG is a special purpose networkbased language, a warfighting component of the Primary Language of the human brain. (Existence of the Primary Language was suggested by J. von Neumann in 1957.) Moreover, the origin of the warfighting component could be traced back for hundreds of thousands of years to the origin of human species. We suggest that the development of this model of the human brain was stimulated by constant hunting and fighting. In this paper we also discuss striking similarities and differences of the LG language and another biological coding system, the genetic code. A major part of this paper is devoted to the detailed LG-based analysis of the three battles of Hannibal demonstrating that the LG-based software will generate the same resource allocation, deception and courses of action as those reported by the historians. It appears that by the time of Hannibal, the LG component and, probably, the entire Primary Language, had already been developed to full capacity.
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