Processes, Terms and Cycles: Steps on the Road to Infinity: Essays Dedicated to Jan Willem Klop on the Occasion of his 60th Birthday: 3838 (Lecture Notes in Computer Science, 3838) - Softcover

 
9783540309116: Processes, Terms and Cycles: Steps on the Road to Infinity: Essays Dedicated to Jan Willem Klop on the Occasion of his 60th Birthday: 3838 (Lecture Notes in Computer Science, 3838)

Synopsis

This Festschrift is dedicated to Jan Willem Klop on the occasion of his 60th birthdayon December 19,2005.Its focus is on the lambda calculus, term rewr- ing and process algebra, the ?elds where Jan Willem has made fundamental contributions. Without attempting to give a balanced account of Jan Willem's scienti?c achievements, we recall three accomplishments from the early years of his career that especially stand out. The ?rst is his counterexample showing that the extension of the lambda calculus with surjective pairing lacks the Church-Rosserproperty,or, in modern terminology, is not con?uent [7,9]. This settled a famous open problem, which had challenged several researchers in the lambda calculus community for years. The secondis his pioneeringworkintermrewriting.In hisPhDthesis[9],Jan Willem gave a systematic study of orthogonal rewriting in the general setting of combinatoryreductionsystems(CRSs),therebyputtingtheareasofhigher-order rewriting and orthogonality ?rmly on the map. Some of the ideas in the thesis trace back to the famous Blue Preprint [2], from the period that Jan Willem and some other students were graduating in mathematics and logic, under the supervision of Dirk van Dalen and Henk Barendregt. The third feat is the creation, together with Jan Bergstra [23], of the algebra of communicating processes (ACP). With his early work,Jan Willem provided inspiration for many years of fru- ful research, continuing to this day. For decades he has been a creative and stimulating force in the areas of term rewriting and process algebra. Some of his recent interests are in?nitary rewriting, graph rewriting and the geometry of processes.

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Synopsis

This Festschrift is dedicated to Jan Willem Klop on the occasion of his 60th birthday. The volume comprises a total of 23 scientific papers by close friends and colleagues, written specifically for this book. The papers are different in nature: some report on new research, others have the character of a survey, and again others are mainly expository. Every contribution has been thoroughly refereed at least twice. In many cases the first round of referee reports led to significant revision of the original paper, which was again reviewed. The articles especially focus upon the lambda calculus, term rewriting and process algebra, the fields to which Jan Willem Klop has made fundamental contributions.

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9783540818861: Processes, Terms and Cycles: Steps on the Road to Infinity

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ISBN 10:  3540818863 ISBN 13:  9783540818861
Publisher: Springer, 2008
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