Loops Of Superexponential Lengths In One Rule String Rewriting

Author : Alfons Geser
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.07/5 ( download)

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Download or read book Loops of Superexponential Lengths in One-rule String Rewriting written by Alfons Geser and published by . This book was released on 2002 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Loops are the most frequent cause of non-termination in string rewriting. In the general case, non-terminating, non-looping string rewriting systems exist, and the uniform termination problem is undecidable. For rewriting with only one string rewriting rule, it is unknown whether non-terminating, non-looping systems exist and whether uniform termination is decidable. If in the one-rule case, non-termination is equivalent to the existence of loops, as McNaughton conjectures, then a decision procedure for the existence of loops also solves the uniform termination problem. As the existence of loops of bounded lengths is decidable, the question is raised how long shortest loops may be. We show that string rewriting rules exist whose shortest loops have superexponential lengths in the size of the rule.

Author : Sophie Tison
Publisher : Springer
ISBN 13 : 3540456104
Total Pages : 397 pages
Book Rating : 4.00/5 ( download)

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Download or read book Rewriting Techniques and Applications written by Sophie Tison and published by Springer. This book was released on 2003-08-02 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Conference on Rewriting Techniques and Applications, RTA 2002, held in Copenhagen, Denmark, in July 2002. The 20 regular papers, two application papers, and four system descriptions presented together with three invited contributions were carefully reviewed and selected from 49 submissions. All current aspects of rewriting are addressed.

Author : Robert Nieuwenhuis
Publisher : Springer
ISBN 13 : 3540448810
Total Pages : 527 pages
Book Rating : 4.15/5 ( download)

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Download or read book Rewriting Techniques and Applications written by Robert Nieuwenhuis and published by Springer. This book was released on 2007-03-06 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: The refereed proceedings of the 14th International Conference on Rewriting Techniques and Applications, RTA 2003, held in Valencia, Spain in June 2003. The 26 revised regular papers and 6 system descriptions presented together with 3 invited contributions were carefully reviewed and selected from 61 submissions. All current aspects of rewriting are addressed.

Author :
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.97/5 ( download)

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Download or read book ICASE Semiannual Report written by and published by . This book was released on 2002 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report summarizes research conducted at ICASE in applied mathematics, computer science, fluid mechanics, and structures and material sciences during the period October 1, 2000 through March 31, 2001.

Author :
Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.68/5 ( download)

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Download or read book Rewriting Techniques and Applications written by and published by . This book was released on 2002 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Alfons Geser
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.05/5 ( download)

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Download or read book Termination of String Rewriting Rules that Have One Pair of Overlaps written by Alfons Geser and published by . This book was released on 2002 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents a partial solution to the long standing open problem of termination of one-rule string rewriting. Overlaps between the two sides of the rule play a central rule in existing termination criteria. We characterize termination of all one-rule string rewriting systems that have one such overlap at either end. This both completes a result of Kurth and generalizes a result of Shikishima-Tsuji et al.

Author :
Publisher :
ISBN 13 :
Total Pages : 1852 pages
Book Rating : 4.57/5 ( download)

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Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1852 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Robert S. Boyer
Publisher : Academic Press
ISBN 13 : 1483277887
Total Pages : 414 pages
Book Rating : 4.82/5 ( download)

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Download or read book A Computational Logic written by Robert S. Boyer and published by Academic Press. This book was released on 2014-06-25 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: ACM Monograph Series: A Computational Logic focuses on the use of induction in proving theorems, including the use of lemmas and axioms, free variables, equalities, and generalization. The publication first elaborates on a sketch of the theory and two simple examples, a precise definition of the theory, and correctness of a tautology-checker. Topics include mechanical proofs, informal development, formal specification of the problem, well-founded relations, natural numbers, and literal atoms. The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions. Topics include nonrecursive functions, computing values, free variables in hypothesis, infinite backwards chaining, infinite looping, computing type sets, and type prescriptions. The manuscript takes a look at rewriting terms and simplifying clauses, eliminating destructors and irrelevance, using equalities, and generalization. Concerns include reasons for eliminating isolated hypotheses, precise statement of the generalization heuristic, restricting generalizations, precise use of equalities, and multiple destructors and infinite looping. The publication is a vital source of data for researchers interested in computational logic.

Author : Fosco Loregian
Publisher : Cambridge University Press
ISBN 13 : 1108746128
Total Pages : 331 pages
Book Rating : 4.20/5 ( download)

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Download or read book (Co)end Calculus written by Fosco Loregian and published by Cambridge University Press. This book was released on 2021-07-22 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-cite handbook gives the first systematic treatment of the (co)end calculus in category theory and its applications.

Author : Marek Cygan
Publisher : Springer
ISBN 13 : 3319212753
Total Pages : 613 pages
Book Rating : 4.53/5 ( download)

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Download or read book Parameterized Algorithms written by Marek Cygan and published by Springer. This book was released on 2015-07-20 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook presents a clean and coherent account of most fundamental tools and techniques in Parameterized Algorithms and is a self-contained guide to the area. The book covers many of the recent developments of the field, including application of important separators, branching based on linear programming, Cut & Count to obtain faster algorithms on tree decompositions, algorithms based on representative families of matroids, and use of the Strong Exponential Time Hypothesis. A number of older results are revisited and explained in a modern and didactic way. The book provides a toolbox of algorithmic techniques. Part I is an overview of basic techniques, each chapter discussing a certain algorithmic paradigm. The material covered in this part can be used for an introductory course on fixed-parameter tractability. Part II discusses more advanced and specialized algorithmic ideas, bringing the reader to the cutting edge of current research. Part III presents complexity results and lower bounds, giving negative evidence by way of W[1]-hardness, the Exponential Time Hypothesis, and kernelization lower bounds. All the results and concepts are introduced at a level accessible to graduate students and advanced undergraduate students. Every chapter is accompanied by exercises, many with hints, while the bibliographic notes point to original publications and related work.