Since 1991, Professor Stilman has been developing a new area in Artificial Intelligence entitled a Linguistic Geometry (LG). LG is based on his experiences of the PIONEER Project, on the investigation of sophisticated human heuristics resulting in highly selective searches, on integration of experimental and theoretical approaches. These heuristics were gleaned from the best known experts in the field, in particular, from Botvinnik's self-analysis of his brilliant method of playing chess.
Extensive research experience, unique experimental data, and mathematics/computer science background helped Dr. Stilman to make generalizations, construct the new mathematical model, taking into account the theoretical concepts which seemed to be unrelated to the main problem. This resulted in the development of the syntactic approach to complex hierarchical systems, Linguistic Geometry. LG promises considerable advances in Robotics, Space Navigation, Control, Planning, Scheduling, VLSI Design, Intelligent Manufacturing, and other practical areas. This research includes the development of syntactic tools for knowledge representation and reasoning about large-scale hierarchical complex systems. It relies on the formalization and transfer of search heuristics of highly-skilled human experts that have resulted in the development of successful applications in different areas. It is based on the broad application of the theory of formal languages and grammars. The syntactic tools allow us to decompose complex systems into a dynamic hierarchy of subsystems in the form of hierarchical networks of paths, and thus solve intractable problems by reducing the search dramatically (e.g., from billions to tens).
Since 1992, 12 journal and more than 40 conference papers on LG have been published or accepted for publication. Currently, Professor Stilman is working on a special issue of the journal devoted exclusively to LG. A list of journal papers is given below. For a complete list of related publications click HERE.
1. Stilman, B., From Serial to Concurrent Motions in Multiagent Systems: A Linguistic Geometry Approach, Journal of Systems Engineering, (invited paper), 1996 (to appear). 2. Stilman, B., Network Languages for Concurrent Multiagent Systems, An International Journal: Computers & Mathematics with Applications., 1996 (to appear) Download Draft. 3. Stilman, B., Network Languages for Intelligent Control, An International Journal: Computers & Mathematics with Applications, Vol. 31, No. 3, pp. 91-118, 1996, Download Draft. 4. Stilman, B., A Linguistic Geometry: Methodology and Techniques, Cybernetics and Systems Ð An International Journal, Vol. 26, No. 5, pp. 343-405, Sept. 1995 5. Stilman, B., A Linguistic Geometry for Control Systems Design, International Journal of Computers and Their Applications, Vol. 1, No. 2, pp. 89-110, (invited paper), Dec. 1994. 6. Stilman, B., Heuristic Networks for Space Exploration, Telematics and Informatics, An Int. Journal on Telecommunications & Information Technology, Vol. 11, No. 4, pp. 403-428, (invited paper), 1994. 7. Stilman, B., A Linguistic Geometry of the Chess Model, Advances in Computer Chess 7, pp. 91-117, 1994. 8. Stilman, B., Translations of Network Languages, An International Journal: Computers & Mathematics with Applications, Vol. 27, No. 2, pp. 65-98, 1994, Download Draft. 9. Stilman, B., A Formal Language for Hierarchical Systems Control, Languages of Design, Vol. 1, No.4, pp. 333-356, 1993. 10. Stilman, B., A Syntactic Hierarchy for Robotic Systems, Integrated Computer-Aided Engineering, Vol. 1, No. 1, pp. 57-82, (invited paper), 1993. 11. Stilman, B., Network Languages for Complex Systems, An International Journal: Computers & Mathematics with Applications, Vol. 26, No. 8, pp. 51-80, 1993, Download Draft. 12. Stilman, B., A Linguistic Approach to Geometric Reasoning, An international Journal: Computers & Mathematics with Applications, Vol. 26, No. 7, pp. 29-58, 1993, Download Draft.
At UCD Professor Stilman teaches Linguistic Geometry in his graduate course "Complex Intelligent Systems". Two students are currently working with Dr. Stilman on their Master Theses on practical applications of Linguistic Geometry to Robotics and Planning. Dr. Stilman teaches two courses in Artificial Intelligence at UCD, undergraduate "Introduction to Artificial Intelligence" and graduate "Knowledge Representation for Intelligent Systems". Both should be considered as introductions to research in Linguistic Geometry.