Higman's theorem
WebApr 1, 1975 · It was first studied thoroughly in Theorem B of Hall and Higman (10). In this sequence of papers we look at the basic configurations arising out of Theorem B. In Hall-Higman Type Theorems. WebJan 13, 2024 · The theorem applies to (non-elementary) free products as they act …
Higman's theorem
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WebAbstract. The Nagata-Higman theorem for the nilpotency of nil algebras of bounded index was proved in 1953 by Nagata [Nal] over a field of characteristic 0 and then in 1956 by Higman [Hg] in the general setup. Much later it was discovered that this theorem was first established in 1943 by Dubnov and Ivanov [DI] but their paper was overlooked by ... WebTheorem (Novikov 1955, Boone 1957) There exists a nitely presented group with unsolvable word problem. These proofs were independent and are quite di erent, but interestingly they both involve versions of Higman’s non-hopf group. That is, both constructions contain subgroups with presentations of the form hx;s 1;:::;s M jxs b = s bx2;b = 1 ...
WebFeb 12, 2016 · By Higman's lemma, the subword order on A ∗ is a well-quasi-order. Therefore, for each language L, the set F of minimal words of L (for the subword ordering) is a finite set F and ш ш L ш A ∗ = F ш A ∗. It is now easy to show that ш F ш A ∗ is a regular language. In a vein similar to Pin's answer. WebJan 1, 1973 · This chapter discusses a proof of Higman's embedding theorem using …
WebThis involves considering type-theoretic formulations of bar induction, fan theorem, Ramsey theorem, and Higman 's lemma. The proof was formalized in Martin-Lof's type theory without universes, and edited and checked in the proof editor ALF. 1 Introduction Higman's lemma is a significant result in combinatorics. It was discovered by Higman ... WebThe Higman-Sims graph is the unique strongly regular graph on 100 nodes (Higman and …
Webthe Higman–Haines sets in terms of nondeterministic finite automata. c 2007 Published by Elsevier B.V. Keywords: Finite automata; Higman’s theorem; Well-partial order; Descriptional complexity; Non-recursive trade-offs 1. Introduction A not so well-known theorem in formal language theory is that of Higman [6, Theorem 4.4], which reads as ...
WebHigman essentially showed that if Ais any language then SUBSEQ(A) is regular, where … birmingham council bulky rubbish collectionWebAug 13, 2024 · Higman's proof of this general theorem contains several new ideas and is … dandy foods productsWebAbstract For a quasi variety of algebras K, the Higman Theorem is said to be true if every … birmingham council contact number switchboardHigman's theorem may refer to: • Hall–Higman theorem in group theory, proved in 1956 by Philip Hall and Graham Higman • Higman's embedding theorem in group theory, by Graham Higman birmingham council chief executiveWebHigman essentially showed that if Ais any language then SUBSEQ(A) is regular, where SUBSEQ(A) is the language of all subsequences of strings in A. Let s 1;s 2;s 3;::: be the standard lexicographic enumeration of all strings over some nite alphabet. We consider the following inductive inference problem: given A(s 1), A(s 2), A(s birmingham council conservation areasWebGraham Higman. The University Manchester, 13. Search for more papers by this author. B. … birmingham council cilWebOct 1, 1990 · The Nagata-Higman theorem for the nilpotency of nil algebras of bounded … birmingham council cmis