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  1 Properties of Infinite Reduction Paths in Untyped

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by Morten Heine S��rensen
ftp://ftp.diku.dk/diku/semantics/papers/D-298.ps.gz
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Abstract:

In the untyped-calculus some terms have an infinite reduction path. The simplest example is the

Citations

414 Termination of rewriting – Dershowitz - 1987
168 Ordering by divisibility in abstract algebras – Higman - 1952
152 R.Feys: Combinatory logic – Curry - 1958
113 The Lambda Calculus: Its Syntax and Semantics. North-Holland, revised edition – Barendregt - 1984
85 the Tree Theorem, and Vazsonyi's conjecture – Well-quasi-ordering - 1960
45 On well-quasi-ordering finite trees – Nash-Williams - 1963
36 What’s so Special about Kruskal’s Theorem and the Ordinal Γ0 – Gallier - 1991
30 An analysis of loop checking mechanisms for logic programs – Bol, Krzysztof, et al. - 1991
21 The longest perpetual reductions in orthogonal expression reduction systems – Khasidashvili - 1994
16 The Undecidability of Self-Embedding for Term Rewriting Systems – Plaisted - 1985
13 Degrees, reductions and representability in the lambda calculus – Barendregt, Bergstra, et al. - 1976
11 Perpetuality and strong normalization in orthogonal term rewriting systems – Khasidashvili - 1994
9 terms as total or partial functions on normal forms – Bohm, Dezani-Ciancaglini - 1975
7 Nichtbeweisbarkeit von gewissen kombinatorischen Eigenschaften endlicher Baume – Simpson - 1985
6 BCK-Algebras and Lambda Calculus – Komori - 1987
6 Effective longest and infinite reduction paths in untyped -calculus – Srensen - 1996
4 Semantics of lambda-I and of other substructure calculi – Jacobs - 1993
3 Infinitary Normalization – Klop, Vrijer - 2005
3 A loop-detecting interpreter for lazy programs – Holst, Hughes - 1992
3 Lambda-calculus terms that reduce to themselves. Notre Dame – Lercher - 1976
2 Termination tests inside -calculus – Bohm, Coppo, et al. - 1975
2 Naive Set Theory. Springer-Verlag. Undergraduate texts in mathematics – Halmos - 1960
1 BCK-Combinators and Linear -Terms have Types. Theoretical Computer Science 64:97--105 – Hindley - 1989
1 Centre de Recherche en Informatique de Nancy – INRIA-Lorraine - 1995
1 Combinatory Reduction Systems. Doctoral dissertation – Klop - 1980