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Domain Theory (1994)  (Make Corrections)  (211 citations)
Samson Abramsky, Achim Jung
Handbook of Logic in Computer Science Volume 3



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Abstract: Least fixpoints as meanings of recursive definitions. (Update)


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45:   A Compendium of Continuous Lattices (context) - Gierz, Hofmann et al. - 1980
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BibTeX entry:   (Update)

S. Abramsky and A. Jung. Domain theory. In S. Abramsky, D. M. Gabbay, and T. S. E. Maibaum, editors, Handbook of Logic in Computer Science, volume 3, pages 1--168. Clarendon Press, 1994. http://citeseer.ist.psu.edu/abramsky94domain.html   More

@incollection{ abramsky94domain,
    author = "Samson Abramsky and Achim Jung",
    title = "Domain Theory",
    booktitle = "Handbook of Logic in Computer Science Volume 3",
    publisher = "Oxford University Press",
    editor = "S. Abramsky and D. Gabbay and T. S. E. Maibaum",
    pages = "1--168",
    year = "1994",
    url = "citeseer.ist.psu.edu/abramsky94domain.html" }
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982   Theoretical Computer Science (context) - Girard - 1987  ACM
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509   Introduction to Lattices and Order (context) - Davey, Priestley - 1990
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343   Introduction to Metamathematics (context) - Kleene - 1952
291   Theoretical Computer Science (context) - Gunter, power - 1992  ACM
245   A Compendium of Continuous Lattices (context) - Gierz, Hofmann et al. - 1980
214   Domains for denotational semantics (context) - Scott - 1982  ACM   DBLP
214   An ideal model for recursive polymorphic types (context) - MacQueen, Plotkin et al. - 1986  ACM   DBLP
194   The Formal Semantics of Programming Languages (context) - Winskel - 1993  ACM
179   The lazy lambda calculus - Abramsky - 1990  ACM
175   Games and full completeness for multiplicative linear logic - Abramsky, Jagadeesan - 1994  ACM   DBLP
173   An initial algebra approach to the specification (context) - Goguen, Thatcher et al. - 1978
163   Commentary on Standard ML (context) - Milner, Tofte - 1991  ACM
162   Data types as lattices (context) - Scott - 1976  DBLP
152   Semantics of Programming Languages (context) - Gunter - 1992  ACM
150   The category-theoretic solution of recursive domain equation.. (context) - Smyth, Plotkin - 1982  DBLP
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139   An introduction to event structures (context) - Winskel - 1988  ACM   DBLP
130   Full abstraction in the lazy lambda calculus (context) - Abramsky, Ong - 1993  ACM   DBLP
125   Outline of a mathematical theory of computation (context) - Scott - 1970
117   Semantic Domains - Gunter, Scott - 1990  ACM   DBLP
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41   Strictness analysis in logical form - Jensen - 1991  ACM   DBLP
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35   Domain Theory and the Logic of Observable Properties (context) - Abramsky - 1987
34   Theoretical Computer Science (context) - Smyth, domains - 1977  ACM
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30   Hypercoherences: A strongly stable model of linear logic - Ehrhard - 1993  DBLP
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28   The fixed point property in synthetic domain theory (context) - Taylor - 1991  DBLP
28   Continuity and Effectiveness in Topoi (context) - Rosolini - 1986
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27   volume 3 of Cambridge Studies in Advanced Mathematics (context) - Johnstone - 1982
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23   Centrum voor Wiskunde en Informatica (context) - Jung, Categories et al. - 1989
23   Bulletin of the American Mathematical Society (context) - Johnstone, of - 1983
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23   Progress in Theoretical Computer Science (context) - Curien, Sequential et al. - 1993
22   dI-domains as a model of polymorphism (context) - Coquand, Gunter et al. - 1987  ACM   DBLP
21   logical relations and Kan extensions (context) - Abramsky - 1990
21   A semantics for complex objects and approximate queries - Buneman, Davidson et al. - 1988  ACM   DBLP
21   Extensional PERs (context) - Freyd, Mulry et al. - 1990  ACM   DBLP
21   The largest cartesian closed category of domains (context) - Smyth - 1983  DBLP
21   A note on inconsistencies caused by fixpoints in a cartesian.. (context) - Huwig, Poign'e - 1990  ACM   DBLP
20   Type theory and recursion (context) - Plotkin - 1993
19   Atomless parts of spaces (context) - Isbell - 1972
19   Notes for a course given at the Center for the Study of Lang.. (context) - Plotkin, predomains et al. - 1985
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18   Synthetic Differential Geometry (context) - Kock - 1981
17   Domain Theory in Realizability Toposes (context) - Phoa - 1991
17   Indexed category Theory and Polymorphism (context) - Taylor - 1987
17   Power Domain Constructions - Heckmann - 1990  ACM   DBLP
17   Disjunctive strictness analysis (context) - Jensen - 1992  DBLP
16   Archiv der Mathematik (context) - Kock, monoidal - 1972
16   of variable types: Fifteen years later (context) - Girard - 1986
15   Power domains and second order predicates - Heckmann - 1993
15   Technical Report (context) - Kahn, Plotkin - 1978
14   Information and Computation (context) - Hrbacek - 1987  DBLP
14   Information and Computation (context) - Hrbacek - 1989  DBLP
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13   Algebra and Logic (context) - Ershov, of et al. - 1975
13   A generalized Kahn principle for abstract asynchronous netwo.. (context) - Abramsky - 1990  ACM   DBLP
13   Domain theory and integration - Edalat - 1993  ACM   DBLP
12   To appear in Information and Computation (context) - Boudol, for et al. - 1991
12   A direct proof of the Hofmann-Mislove theorem (context) - Keimel, Paseka
12   The duality of continuous posets (context) - Lawson - 1979
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11   Two families of languages related to ALGOL (context) - Ginsburg, Rice - 1962  ACM   DBLP
11   The snack powerdomain for database semantics (context) - Puhlmann - 1993  ACM   DBLP
11   Basic category theory (context) - Poign'e - 1992  ACM
11   Domain theory meets default logic - Rounds, Zhang - 1994  DBLP
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10   A subdirect-union representation for completely distributive.. (context) - Raney - 1953
10   Coherence and consistency in domains - Gunter, Jung - 1988
10   Algebras for Generalized Power Constructions (context) - Schalk - 1993
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9   categories as a framework for solving domain equations - Edalat, Smyth - 1993
9   Free constructions of powerdomains (context) - Main - 1985  ACM   DBLP
8   Tight Galois connections and complete distributivity (context) - Raney - 1960
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6   An algebraic approach to stable domains (context) - Taylor - 1990
6   Universal information systems (context) - Droste, Gobel - 1991
5   Finite approximation of spaces (context) - Smyth - 1986  ACM   DBLP
5   prime spectra of completely distributive complete lattices (context) - Hoffmann - 1981
5   Powerdomains and modality (context) - Winskel - 1983
5   Fully effective solutions of recursive domain equations (context) - Kanda - 1979  DBLP
5   Linear domains and linear maps (context) - Huth - 1994  ACM   DBLP
5   A type theoretic alternative to ISWIM (context) - Scott - 1969
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5   Theoretical Computer Science (context) - Coquand, embeddings - 1989  ACM
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4   The characterization of congruence lattices of lattices (context) - Tischendorf, Tuma - 1993
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4   measures and fractals via domain theory: extended abstract (context) - Edalat - 1993
4   eles Compl`ement Ad (context) - Berry - 1979
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4   Monatshefte fur Mathematik und Physik (context) - Vietoris - 1921
4   On order-complete universal algebra and enriched functorial .. (context) - Meseguer - 1977  DBLP
4   All compact Hausdorff lambda models are degenerate - Hofmann, Mislove - 1993  DBLP
4   Complete lattices and the generalized Cantor theorem (context) - Davies, Hayes et al. - 1971
4   Universal domains in the theory of denotational semantics of.. (context) - Droste, Gobel - 1990
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3   Towards a mathematical theory of programs (context) - Bekic - 1971
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3   New foundations for recursion theory (context) - Platek - 1964
3   A powerdomain construction (context) - Hrbacek - 1988  ACM   DBLP
3   Cartesian closed categories of domains and the space Proj (context) - Huth - 1992
3   Completion of a construction of Johnstone (context) - Isbell - 1982
3   Zenkoku Shijo Sugaku Danwakai (context) - Iwamura, on et al. - 1944
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3   Mathematical Structures in Computer Science (context) - Droste, Gobel et al. - 1993
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3   A relational approach to strictness analysis for polymorphic.. (context) - Abramsky, Jensen - 1991
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2   Un type d'ensembles semi-ordon'es et ses rapports avec une h.. (context) - Krasner - 1939
2   A theory of programs (context) - de Bakker, Scott - 1969



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A New Characterization of Lambda Definability - Jung, Tiuryn (1993)   (Correct)
The Classification of Continuous Domains (Extended Abstract) - Jung   (Correct)
Uniform Approximation of Topological Spaces - Jung, Sünderhauf (1996)   (Correct)

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