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On Modularity in Term Rewriting and Narrowing (1994)  (Make Corrections)  (4 citations)
Christian Prehofer
Proceedings of the First International Conference on Constraints in Computational Logics, Munich (Germany)



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Abstract: Weintroduce a modular property of equational proofs, called modularity of normalization, for the union of term rewrite systems with shared symbols. The idea is, that every normalization with R = R1 + R2 may be obtained by first normalizing with R1 followed byanR2 normalization. (Update)

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.... Finally, we should mention that critical pair conditions for the pentagon property could be formulated, along the lines of the work in [12, 3, 23]. Appendix This section contains diagrammatic proofs of several key lemmas. We use dashed arrows for steps in R and solid for S....

...is a modular property of left linear composable TRSs. A somewhat different approach to modularity of TRSs has been presented in Prehofer (1994). This paper deals with a property called modular normalization , meaning that every R = R 1 [ R 2 normal form of some term s...

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Innocuous Constructor-Sharing Combinations - Dershowitz (1997)   (Correct)
Final CCL report - Jouannaud   (Correct)
Modular Properties of Composable Term Rewriting Systems - Ohlebusch (1995)   (Correct)

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2.0:   On Modularity in Term Rewriting and Narrowing - Prehofer (1994)   (Correct)
0.2:   Semantic Unification for Convergent Systems - Mitra (1994)   (Correct)
0.2:   The Integration of Functions into Logic Programming: A Survey - Hanus (1994)   (Correct)

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0.2:   Higher-Order Narrowing with Convergent - Systems Christian Prehofer (1995)   (Correct)
0.2:   Higher-Order Narrowing with Convergent Systems - Prehofer (1995)   (Correct)
0.1:   An Efficient Constraint Language for Polymorphic Order-sorted.. - Prehofer (1992)   (Correct)

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3:   Modularity of Simple Termination of Term Rewriting Systems (context) - Kurihara, Ohuchi - 1990
3:   Rewrite systems - Dershowitz, Jouannaud - 1990
3:   Completeness of Combinations of Constructor Systems - Middeldorp, Toyama - 1993

BibTeX entry:   (Update)

Christian Prehofer. On modularity in term rewriting and narrowing. In J.-P. Jouannaud, editor, Proceedings of the First International Conference on Constraints in Computational Logics, volume 845 of Lecture Notes in Computer Science, pages 253--268, Berlin, 1994. Springer-Verlag. http://citeseer.ist.psu.edu/prehofer94modularity.html   More

@inproceedings{ prehofer94modularity,
    author = "Christian Prehofer",
    title = "On Modularity in Term Rewriting and Narrowing",
    booktitle = "Proceedings of the First International Conference on Constraints in Computational Logics, Munich (Germany)",
    volume = "845",
    publisher = "Springer-Verlag",
    editor = "J.-P.~Jouannaud",
    year = "1994",
    url = "citeseer.ist.psu.edu/prehofer94modularity.html" }
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171   A needed narrowing strategy - Antoy, Echahed et al. - 1994
126   Canonical forms and unification (context) - Hullot - 1980
87   Narrowing as the operational semantics of functional languag.. (context) - Reddy - 1985
79   the Church-Rosser property for the direct sum of term rewrit.. (context) - Toyama - 1987
63   Modular Properties of Term Rewriting Systems (context) - Middeldorp - 1991
50   Generalized sufficient conditions for modular termination of.. - Gramlich - 1992
48   Basic narrowing revisited (context) - Nutt, R'ety - 1990
34   and termination (context) - Bachmair, Dershowitz et al. - 1986
29   Theoretical Computer Science (context) - Bosco, Giovanetti et al. - 1988
22   Modular aspects of properties of term rewriting systems rela.. (context) - Middeldorp - 1989
19   Relative Termination (context) - Geser - 1990
17   Lazy unification with simplification - Hanus - 1994
14   The integration of functions into logic programming: A surve.. - Hanus - 1994
14   Operational and semantic equivalences between recursive prog.. (context) - Raoult, Vuillemin - 1980
14   Some termination criteria for narrowing and E-narrowing (context) - Christian - 1990
13   Completeness of hierarchical combinations of term rewriting .. (context) - Rao - 1993
13   An optimal narrowing strategy for general canonical systems (context) - Bockmayr, Krischer et al. - 1992
13   Decidable matching for convergent systems - Dershowitz, Mitra et al.
4   The union of rewrite systems (context) - Stroetmann - 1992
2   Narrowing with inductively defined functions (context) - Bockmayr - 1986
2   Operationelle Semantik axiomatisch spezifizierter Abstrakter.. (context) - Nipkow, Weikum - 1982
1   th International ConferenceonAutomatedDeduction (context) - Kapur - 1992

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