By N. G. de Bruijn (auth.), Harrie de Swart (eds.)

ISBN-10: 3540644067

ISBN-13: 9783540644064

ISBN-10: 3540697780

ISBN-13: 9783540697787

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Additional info for Automated Reasoning with Analytic Tableaux and Related Methods: International Conference, TABLEAUX’98 Oisterwijk, The Netherlands, May 5–8, 1998 Proceedings

Sample text

Availability: The sources are not available except via request from the author. Advantages of the prover: ✷KE has no distinguishing features with regards to its size, speed, efficacity, correctness, portability, and maintenance. The total size of all the code is approximately 52K, with an extra 27K if the modules for recording a proof tree and displaying the output in HTML or LATEX are required. It is implemented in Prolog, with all the concomitant implications for speed and efficiency that this entails.

Bresciani, E. Franconi, and S. Tessaris. Implementing and testing expressive description logics: a preliminary report. In Gerard Ellis, Robert A. Levinson, Andrew Fall, and Veronica Dahl, editors, Knowledge Retrieval, Use and Storage for Efficiency: Proceedings of the First International KRUSE Symposium, pages 28–39, 1995. 4. F. Giunchiglia and R. Sebastiani. A SAT-based decision procedure for ALC. In L. C. Aiello, J. Doyle, and S. Shapiro, editors, Principals of Knowledge Representation and Reasoning: Proceedings of the Fifth International Conference (KR’96), pages 304–314.

Recursion schemas available for the definition of CL functions are extremely programmer-friendly in that that they permit arbitrarily nested recursion where a previously defined measure of arguments goes down. By the well-known theorem of Tait on nested ordinal recursion (restricted in CL to ω) this does not lead outside of primitive recursive functions. Thus the Tait’s theorem characterizes the CL programming language as being able to define exactly the unary primitive recursive functions (the effect of n-ary functions is achieved via pairing).

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Automated Reasoning with Analytic Tableaux and Related Methods: International Conference, TABLEAUX’98 Oisterwijk, The Netherlands, May 5–8, 1998 Proceedings by N. G. de Bruijn (auth.), Harrie de Swart (eds.)


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