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Substitution in Non-wellfounded Syntax with Variable Binding (2003)  (Make Corrections)  (3 citations)
Ralph Matthes, Tarmo Uustalu



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Abstract: Inspired from the recent developments in theories of non-wellfounded syntax (coinductively defined languages) and of syntax with binding operators, the structure of algebras of wellfounded and non-wellfounded terms is studied for a very general notion of signature permitting both simple variable binding operators as well as operators of explicit substitution. This is done in an extensional mathematical setting of initial algebras and final coalgebras of endofunctors on a functor category. In... (Update)

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Generalizing Substitution - Uustalu (2003)   (Correct)
Coproducts Of Ideal Monads - Ghani, Uustalu   (Correct)
Explicit Substitutions and Higher-Order Syntax (Extended Abstract) - Ghani (2003)   (Correct)

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BibTeX entry:   (Update)

R. Matthes and T. Uustalu. Substitution in non-wellfounded syntax with variable binding. In H. P. Gumm, ed., Proc. of 6th Int. Wksh. on Coalg. Methods in Comp. Sci., CMCS'03, v. 82(4) of Electr. Notes in Theor. Comp. Sci. Elsevier, 2003. http://citeseer.ist.psu.edu/matthes03substitution.html   More

@misc{ matthes03substitution,
  author = "R. Matthes and T. Uustalu",
  title = "Substitution in non-wellfounded syntax with variable binding",
  text = "R. Matthes and T. Uustalu. Substitution in non-wellfounded syntax with
    variable binding. In H. P. Gumm, ed., Proc. of 6th Int. Wksh. on Coalg.
    Methods in Comp. Sci., CMCS'03, v. 82(4) of Electr. Notes in Theor. Comp.
    Sci. Elsevier, 2003.",
  year = "2003",
  url = "citeseer.ist.psu.edu/matthes03substitution.html" }
Citations (may not include all citations):
106   Lambda calculus notation with nameless dummies (context) - de Bruijn - 1972
69   Abstract syntax and variable binding (context) - Fiore, Plotkin et al.
59   Semantical analysis of higher-order abstract syntax (context) - Hofmann
45   Nested datatypes - Bird, Meertens
27   A framework for de ning logics (context) - Harper, Honsell et al. - 1993
25   truth and set (context) - Aczel
25   Generalised folds for nested datatypes - Bird, Paterson - 1999
23   De Bruijn notation as a nested datatype - Bird, Paterson - 1999
16   Monadic presentations of lambda terms using generalized indu.. - Altenkirch, Reus
13   Locus solum: From the rules of logic to the logic of rules (context) - Girard - 2001
13   Polytypic functions over nested datatypes - Hinze - 1999
8   Monotone inductive and coinductive constructors of rank - Matthes
7   Substitution: A formal methods case study using monads and t.. - Bellegarde, Hook - 1994
6   iteration for higher-order nested datatypes (context) - Abel, Matthes - 2002
5   monads and comonads (context) - Ghani, uth et al.
5   Coequalizers and free triples (context) - Barr - 1970
4   Coalgebraic monads - Ghani, uth et al.
3   On continuous normalization - Aehlig, Joachimski
3   A coalgebraic view of in nite trees and iteration (context) - Aczel, Ad et al.
2   Generalized iteration and coiteration for higher-order neste.. - Abel, Matthes et al. - 2003
2   Basic category theory for models of syntax - Crole - 2002
2   on Algebraic and Coalgebra (context) - Aczel, Algebras et al.
1   Finite investigations of in nite derivations (context) - Mints
1   Sleep and F (context) - Kennaway, Klop - 1997

Documents on the same site (http://www.tcs.informatik.uni-muenchen.de/~matthes/works.html):   More
Characterizing Strongly Normalizing Terms for a Lambda Calculus.. - Matthes (2000)   (Correct)
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Lambda Calculus: A Case for Inductive Definitions - Matthes (2000)   (Correct)

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