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Titlebook: Advanced Topics in Term Rewriting; Enno Ohlebusch Textbook 2002 Springer-Verlag New York 2002 Automat.Boolean algebra.TAL.automated theore

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期刊全称Advanced Topics in Term Rewriting
影响因子2023Enno Ohlebusch
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发行地址First book on advanced topics in term rewriting.Covers the newest techniques for proving termination of rewrite systems.Contains a comprehensive chapter on conditional term rewriting systems.Contains
图书封面Titlebook: Advanced Topics in Term Rewriting;  Enno Ohlebusch Textbook 2002 Springer-Verlag New York 2002 Automat.Boolean algebra.TAL.automated theore
影响因子Term rewriting techniques are applicable in various fields of computer sci­ ence: in software engineering (e.g., equationally specified abstract data types), in programming languages (e.g., functional-logic programming), in computer algebra (e.g., symbolic computations, Grabner bases), in pro­ gram verification (e.g., automatically proving termination of programs), in automated theorem proving (e.g., equational unification), and in algebra (e.g., Boolean algebra, group theory). In other words, term rewriting has applications in practical computer science, theoretical computer science, and mathematics. Roughly speaking, term rewriting techniques can suc­ cessfully be applied in areas that demand efficient methods for reasoning with equations. One of the major problems one encounters in the theory of term rewriting is the characterization of classes of rewrite systems that have a desirable property like confluence or termination. If a term rewriting system is conflu­ ent, then the normal form of a given term is unique. A terminating rewrite system does not permit infinite computations, that is, every computation starting from a term must end in a normal form. Therefore, in a system t
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https://doi.org/10.1007/978-3-642-12657-4that date back to the third millennium . This is not surprising because equational reasoning (replacing equals with equals, that is) occurs frequently in day-to-day life. For example, in calculating a simple arithmetic expression like (3 + 3) * 6, one first uses the equation 3 + 3 = 6 to replace the
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John Robert Brucato,Teresa Fornaromentation of the dependency pair method is able to prove innermost termination of ℛ automatically. In view of the fact that nonterminating but innermost terminating systems hardly occur in practice, it is most likely that ℛ is in fact terminating. But how can we prove this?
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Alexei V. Ivanov,Elena I. Demonterovaion of small programs. These so-called modules are implemented separately and are then integrated to form the program as a whole. Because TRSs have many important applications in computer science, it is important (not only from a theoretical viewpoint but also from a practical point of view) to know
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