Winning strategies for robotic wars: defense applications of linguistic geometry

Abstract

This paper reports new results of research, which started in 1972 in Moscow, USSR. For 16 years Boris Stilman was involved in the advanced research project PIONEER led by a formed World Chess champion, Professor Mikhail Botvinnik. The goal of the project was, at first, to discover and mathematically formalize methodologies utilized by the most advanced chess experts (including Botvinnik himself) in solving chess problems almost without search. The next step was to apply this new theory to complex search problems from various problem domains. In the 1980s, in Moscow, Stilman developed the foundations of the new approach. In 1991, while at McGill University, Montreal, Canada, 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 results 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,Linguistic Geometry: From 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.