Abstract
Chcl is a Connectionist inference system for Horn logic which is based on the Connection method and uses Limited resources. This paper gives an overview of the system and its implementation.
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A. V. Aho and J. D. Ullman. The Theory of Parsing, Translation, and Compiling, volume I: Parsing. Prentice-Hall, Englewood Cliffs, N. J., 1972.
D. H. Ballard. Parallel logic inference and energy minimization. In Proceedings of the AAAI National Conference on Artificial Intelligence, pages 203–208, 1986.
[Bibel et al., 1991] W. Bibel, S. Hölldobler, and J. Würtz. Cycle unification. Technical Report AIDA-91-15, FG Intellektik, FB Informatik, TH Darmstadt, 1991.
W. Bibel. Automated Theorem Proving, Vieweg Verlag, Braunschweig, second edition, 1987.
W. Bibel. Advanced topics in automated deduction. In Nossum, editor, Fundamentals of Artificial Intelligence II. Springer, 1988.
A. Colmerauer. Prolog and infinite trees. In Clark and Tarnlund, editors, Logic Programming, pages 231–251. Academic Press, 1982.
P. R. Cooper and M. J. Swain. Parallelism and domain dependence in constraint satisfaction. Technical Report 255, Computer Science Department, Univ. of Rochester, 1988.
J. Diederich. Connectionist recruitment learning. In Proceedings of the European Conference on Artificial Intelligence, pages 351–356, 1988.
W. F. Dowling and J. H. Gallier. Linear-time algorithms for testing the satisfiability of propositional Horn formulae. Journal of Logic Programming, 1984.
[Dwork et al., 1984] C. Dwork, P. C. Kannelakis, and J. C. Mitchell. On the sequential nature of unification. Journal of Logic Programming, 1:35–50, 1984.
J. L. Elman. Structured representations and connectionist models. In Proceedings of the Annual Conference of the Cognitive Science Society, pages 17–25, 1989.
J. A. Feldman and D. H. Ballard. Connectionist models and their properties. Cognitive Science, 6(3):205–254, 1982.
[Feldman et al., 1990] J. A. Feldman, G. Lakoff, A. Stolcke, and S. H. Weber. Miniature language acquisition: A touchstone for cognitive science. In Proceedings of the Annual Conference of the Cognitive Science Society, pages 686–693, 1990.
J. A. Feldman. Dynamic connections in neural networks. Biological Cybernetics, 46:27–39, 1982.
H.-W. Güsgen and S. Hölldobler. Connectionist inference systems. In B. Fronhöfer and G. Wrightson, editors, Parallelization in Inference Systems. Springer, 1991.
H. W. Güsgen. A connectionist approach to symbolic constraint satisfaction. Technical Report TR-90-018, International Computer Science Institute, Berkeley, CA, 1990.
S. Hölldobler and W. Hower. Constraint satisfaction in a connectionist inference system. In Proceedings of the 4th International Symposium on Artificial Intelligence, pages 215–221, 1991.
S. Hölldobler. CHCL — A connectionist inference system for a limited class of Horn clauses based on the connection method. Technical Report TR-90-042, International Computer Science Institute, Berkeley, CA, 1990.
S. Hölldobler. A structured connectionist unification algorithm. In Proceedings of the AAAI National Conference on Artificial Intelligence, pages 587–593, 1990. A long version appeared as Technical Report TR-90-012, International Computer Science Institute, Berkeley, California.
M. I. Jordan. Attractor dynamics and parallelism in a connectionist sequential machine. In Proceedings of the Annual Conference of the Cognitive Science Society, 1986.
F. Kurfeß. Unification on a connectionist simulator. In Proceedings of the International Conference on Artificial Neural Networks, 1991. ICSI.
F. Kurfeß. Unification with Icsim. Technical report, International Computer Science Institute, Berkeley, CA, 1991.
A. Mackworth. Constraint satisfaction. In Shapiro, editor, Encyclopedia of Artificial Intelligence, pages 205–211. John Wiley & Sons, 1987.
B. Meyer. Object-Oriented Software Construction. Prentice Hall, 1988.
N. Morgan. The ring array processor (RAP): Algorithms and architecture. Technical Report TR-90-47, International Computer Science Institute, Berkeley, CA, 1990.
S. Omohundro. Differences between Sather and Eiffel. Eiffel Outlook, 1991.
M. S. Paterson and M. N. Wegman. Linear unification. Journal of Computer and System Sciences, 16:158–167, 1978.
J. B. Pollack. Recursive auto-associative memory: Devising compositional distributed representations. In Proceedings of the Annual Conference of the Cognitive Science Society, 1988.
J. B. Pollack. Recursive distributed representations. Artificial Intelligence, 46:77–105, 1990.
J. A. Robinson. A machine-oriented logic based on the resolution principle. Journal of the ACM, 12:23–41, 1965.
H. W. Schmidt. ICSIM: Initial design of an object-oriented net simulator. Technical Report TR-90-055, International Computer Science Institute, Berkeley, CA, 1990.
[Schumann et al., 1989] J. Schumann, W. Ertel, and C. Suttner. Learning heuristics for a theorem prover using back propagation. In österreichische AI Tagung, 1989.
M. G. Scutella. A note on Dowling and Gallier's top-down algorithm for propositional Horn satisfiability. Journal of Logic Programming, 8(265–273), 1990.
L. Shastri and V. Ajjanagadde. From associations to systematic reasoning: A connectionist representation of rules, variables and dynamic bindings. Technical Report MS-CIS-90-05, Department of Computer and Information Science, University of Pennsylvania, Philadelphia, School of Engineering and Applied Science, PA 19104-6389, 1990.
L. Shastri and V. Ajjanagadde. An optimally efficient limited inference system. In Proceedings of the AAAI National Conference on Artificial Intelligence, pages 563–570, 1990.
P. Smolensky. On variable binding and the representation of symbolic structures in connectionist systems. Technical Report CU-CS-355-87, Department of Computer Science & Institute of Cognitive Science, University of Colorado, Boulder, CO 80309-0430, 1987.
M. E. Stickel. An introduction to automated deduction. In W. Bibel and P. Jorrand, editors, Fundamentals of Artificial Intelligence, pages 75–132. Springer, 1987.
A. Stolcke and D. Wu. Tree matching with recursive distributed representations. International Computer Science Institute, Berkeley, CA, 1991. submitted to NIPS 91.
C. Suttner. Learning heuristics for automated theorem proving. Master's thesis, Institut für Informatik, Technische Universität München, 1989.
Thinking Machines Corporation. Connection Machine Model CM-2 Technical Summary. Technical Report HA87-4, 1987.
D. S. Touretzky and G. E. Hinton. A distributed connectionist production system. Cognitive Science, 12:423–466, 1988.
[Ultsch et al., 1990] A. Ultsch, R. Hannuschka, U. Hartmann, and V. Weber. Learning of control knowledge for symbolic proofs with backpropagation networks. In R. Eckmiller, G. Hartmann, and G. Hauske, editors, Parallel Processing in Neural Systems and Computers, pages 499–502. Elsevier, 1990.
S. H. Weber and A. Stolcke. L o: A testbed for miniature language aquisition. Technical Report TR-90-010, International Computer Science Institute, Berkeley, CA, 1990.
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Hölldobler, S., Kurfeß, F. (1992). CHCL — A connectionist inference system. In: Fronhöfer, B., Wrightson, G. (eds) Parallelization in Inference Systems. Lecture Notes in Computer Science, vol 590. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55425-4_17
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DOI: https://doi.org/10.1007/3-540-55425-4_17
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