New PDF release: Algorithms and Data Structures: Third Workshop, WADS '93

By Mikhail J. Atallah, Danny Z. Chen (auth.), Frank Dehne, Jörg-Rüdiger Sack, Nicola Santoro, Sue Whitesides (eds.)

ISBN-10: 3540571558

ISBN-13: 9783540571551

The papers during this quantity have been provided on the 3rd Workshop on Algorithmsand facts constructions (WADS '93), held in Montreal, Canada, August 1993. the quantity opens with 5 invited displays: "Computing the all-pairs longest chains within the aircraft" by means of M.J. Atallah and D.Z. Chen, "Towards a greater knowing of natural packet routing" by means of A. Borodin, "Tolerating faults in meshes and different networks" (abstract) via R. Cole, "A generalization of binary seek" by way of R.M. Karp, and "Groups and algebraic complexity" (abstract) by means of A.C. Yao. the amount keeps with fifty two ordinary shows chosen from a hundred sixty five submissions, each one of which was once evaluated via at the least 3 application committee participants, lots of whom referred to as upon extra reviewers.

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Additional info for Algorithms and Data Structures: Third Workshop, WADS '93 Montréal, Canada, August 11–13, 1993 Proceedings

Example text

The question as to whether each finitely presented monoid with a decidable word problem always allows a finite complete presentation [152] was open for quite a while, but solved recently by C. C. Squier in [265]. 30 in [272]). Thus those groups obviously do not admit a finite complete monoid presentation S(G). Now the question arises as to whether the standard algorithm has a better complexity if the STS used has no length increasing rules, because they were the reason for the bad quality of this rewriting algorithm.

T. (S, »)}. t. (S, » ). In order to prove this result we will use the undecidability of the word problem for groups, hence we need the presentation of groups as semigroups, cf. 2 (f). Proof Let G be a finitely presented group with undecidable word problem. " is undecidable too. t. (S, ») were decidable. Then for a given WE X + one decides whether W is minimal or not as follows. When W is minimal, then [w] i= [A], otherwise there exists some v E [w] with w » v. Since [w] is recursively enumerable we eventually find this string v.

34, is from Autebert, Boasson, and Senizergues [7b] and relates NTS languages and context-free groups. 4. 1 Introduction and General Results Groups are often described as quotient groups of free groups: G ~ F(X)/ N, where F(X) is a free group with basis X and N is the normal subgroup generated by a set R in F(X). Usually, this will then be written as G =

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Algorithms and Data Structures: Third Workshop, WADS '93 Montréal, Canada, August 11–13, 1993 Proceedings by Mikhail J. Atallah, Danny Z. Chen (auth.), Frank Dehne, Jörg-Rüdiger Sack, Nicola Santoro, Sue Whitesides (eds.)


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