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References
Arbib,M., and Manes,E., The greatest fixpoint approach to data types, Proc. 3rd Workshop on Categorical and Algebraic Methods in Computer Science, Dortmund (1980)
Avizienis, A., Signed-digit representations for fast parallel arithmetic, IRE Trans. EC 10 (1961) 389–400
Bourbaki,N., Elements of Mathematics: General Topology Part I, Hermann/Addison-Wesley (1966)
Brouwer, L., Collected Works Vol. 1, ed. A. Heyting, North-Holland Amsterdam (1975)
Fourman,M., and Grayson,R., Formal Spaces, L.E.J. Brouwer Centenary Symposium, North Holland (1982) 107–122.
Gierz,G., et al., A Compendium of Continuous Lattices, Springer (1980)
Gunter, C., Profinite solutions for recursive domain equations (Thesis), T.R. CMU-CS-85-107, Carnegie-Mellon University, Pittsburgh (1985)
Johnstone,P., Stone Spaces, Cambridge University Press (1982)
Johnstone,P., The point of pointless topology, Bull.Am.Math.Soc. (1983)
Martin-Lof, P., Notes on Constructive Mathematics, Almqvist & Wicksell, Stockholm (1970)
Parikh, R., The problem of vague predicates, in: Cohen, R.S., & Wartovsky (eds.), Language, Logic and Method, Reidel, (1983) 241–261
Plotkin, G., A powerdomain construction, SIAM J. Comput. 5 (1976) 452–487
Plotkin,G., Lecture notes on domain theory, Edinburgh
Reynolds, J., On the relation between direct and continuation semantics, ICALP '74, Springer LNCS 14 (1974) 141–156
Scott, D., The lattice of flow diagrams, Lecture Notes in Math. 188 (ed. E. Engeler), Springer (1971) 311–366
Scott,D., Outline of a mathematical theory of computation, Proc. 4th Ann. Princeton Conf. on Inf. Sci. and Systems, (1970) 65–106
Scott, D., Domains for denotational semantics, ICALP '82, Springer LNCS 140 (1982) 577–613
Smyth, M., Effectively given domains, Theor.Comp.Sci. 5 (1977) 257–274
The largest cartesian closed category of domains, Theor.Comp. Sci. 27 (1983) 109–119
Smyth, M., Predicate transformers and power domains, ICALP '83, Springer LN 154 (1983) 662–675
Smyth, M., and Plotkin, G., The category-theoretic solution of recursive domain equations, SIAM J. Comput. 11 (1982) 761–783
Wiedmer,E., Exaktes Rechnen mit reellen Zahlen... (Thesis) ETH Zurich (1977); also Theor.Comp.Sci. (1979)
Winskel,G., and Larsen,K., Using information systems to solve recursive domain equations effectively, Semantics of Data Types, ed. G.Kahn et al., Springer LN 173 (1984) 109–129.
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Smyth, M.B. (1986). Finite approximation of spaces. In: Pitt, D., Abramsky, S., Poigné, A., Rydeheard, D. (eds) Category Theory and Computer Programming. Lecture Notes in Computer Science, vol 240. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17162-2_125
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