P
Paul E. Schupp
Researcher at University of Illinois at Urbana–Champaign
Publications - 87
Citations - 6332
Paul E. Schupp is an academic researcher from University of Illinois at Urbana–Champaign. The author has contributed to research in topics: Decidability & Natural density. The author has an hindex of 26, co-authored 87 publications receiving 6168 citations. Previous affiliations of Paul E. Schupp include University of Bordeaux.
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Book
Combinatorial Group Theory
Roger C. Lyndon,Paul E. Schupp +1 more
TL;DR: In this article, the authors introduce the concept of Free Products with Amalgamation (FPAM) and Small Cancellation Theory over free products with amalgamation and HNN extensions.
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The theory of ends, pushdown automata, and second-order logic
David E. Muller,Paul E. Schupp +1 more
TL;DR: These graphs are generalizations of Cayley graphs of context-free groups and shown to be definable in a very natural way in terms of push-down automata and to have a decidable monadic second-order theory.
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Groups, the Theory of ends, and context-free languages
David E. Muller,Paul E. Schupp +1 more
TL;DR: This first paper discusses the interaction of group theory and formal language theory, and conjecture that a finitely generated group is context-free if the word problem is a context- free language for finitely generate presentations of G.
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Simulating alternating tree automata by nondeterministic automata: new results and new proofs of the theorems of Rabin, McNaughton and Safra
David E. Muller,Paul E. Schupp +1 more
TL;DR: A unified proof of the theorems of Rabin, McNaughton and Safra is given and a simple axiomatic framework for uniformizing strategies is given.
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Generic-case complexity, decision problems in group theory, and random walks
TL;DR: In this article, it was shown that for a large class of finitely generated groups the classical decision problems of group theory (the word, conjugacy, and membership problems) all have linear-time generic-case complexity.