Titlebook: Rewriting Techniques and Applications; 13th International C Sophie Tison Conference proceedings 2002 Springer-Verlag Berlin Heidelberg 2002

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Axiomatic Rewriting Theory VI: Residual Theory Revisited took its modern shape in Lévy’s PhD thesis, after Church, Rosser and Curry’s seminal steps. There, Lévy introduces a . between rewriting paths, and establishes that among all confluence diagrams . → . ← . completing a span . ← . → ., there exists a . such one, modulo permutation equivalence. Catego

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Static Analysis of Modularity of β-Reduction in the Hyperbalanced λ-Calculusn). In technical terms, we study the family relation on redexes in λ., and the contribution relation on redex-families, and show that the latter is a forest (as a partial order). This means that hyperbalanced λ-terms allow for maximal possible parallelism in computation. To prove our results, we use

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Deriving Focused Lattice Calculicedure, theory axioms are first transformed into independent bases. Focused inference rules are then extracted from inference patterns in refutations. The derivation is guided by mathematical and procedural background knowledge, in particular by ordered chaining calculi for quasiorderings (forgettin

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Layered Transducing Term Rewriting System and Its Recognizability Preserving Property layered transducing TRSs (LT-TRSs) is defined and its recognizability preserving property is discussed. The class of LT-TRSs contains some EPR-TRSs, e.g., .(.) → .(.(.)) which do not belong to any of the known decidable subclasses of EPR-TRSs. Bottom-up linear tree transducer, which is a well-known

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Decidability and Closure Properties of Equational Tree Languageswe show the emptiness problem for AC-tree automata and the intersection-emptiness problem for regular AC-tree automata, each of which was open in our previous work [.], are decidable, by a straightforward reduction to the reachability problem for ground AC-term rewriting. The newly obtained results

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Rewrite Games redex in .., ..,..., and player 2 choses the redex in .., ..,... The player who cannot move (because .. is a normal form), loses..In this note, we propose some challenging problems related to certain rewrite games. In particular, we re-formulate an open problem from combinatorial game theory (do al

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Tradeoffs in the Intensional Representation of Lambda Termsks. Systems that support such representations often depend on the implementation of an intensional view of the terms of suitable typed lambda calculi. Refined lambda calculus notations have been proposed that can be used in realizing such implementations. There are, however, choices in the actual de

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