Madre, J. C.; Coudert, O. A logically complete reasoning maintenance system based on a logical contraint solver. (English) Zbl 0747.68072 Artificial intelligence, IJCAI-91, Proc. 12th Int. Conf., Sydney/Australia 1991, 295-299 (1991). [For the entire collection see Zbl 0741.68016.]The paper describes an original assumption-based truth maintenance system (ATMS) that is logically complete. The power of the system comes from the properties of the canonical representation of propositional formulas by typed decision graphs. Typed decision graphs are amongst the most compact representations of Boolean functions, and have been successfully used to formal verification of digital circuits and VLSI circuit design. The reasoning maintenance system, integrated into the proposed ATMS, and based on the mentioned representation, is implemented in the \(C\) language and contains an incremental garbage collector that guarantees that the memory use is kept minimal during execution. This ATMS was integrated in the prototype version of a complex blast furnace computer aided piloting system. Reviewer: N.Curteanu (Iaşi) Cited in 9 Documents MSC: 68T20 Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.) 68T27 Logic in artificial intelligence 68T35 Theory of languages and software systems (knowledge-based systems, expert systems, etc.) for artificial intelligence Keywords:reasoning maintenance system; logically complete ATMS; Typed decision graphs Citations:Zbl 0741.68016 PDF BibTeX XML Cite \textit{J. C. Madre} and \textit{O. Coudert}, in: IJCAI 91, Proceedings of the 12th International Conference on Artificial Intelligence. Sydney, Australia, 24-30 August 1991. Vol. 1-2. San Mateo, CA: Morgan Kaufmann Publ.. 295--299 (1991; Zbl 0747.68072)