-
1
-
-
34248232065
-
Semantics of a sequential language for exact real-number computation
-
Marcial-Romero, J.R., Escardo, M.H.: Semantics of a sequential language for exact real-number computation. Theor. Comput. Sci. 379, 120-141 (2007)
-
(2007)
Theor. Comput. Sci
, vol.379
, pp. 120-141
-
-
Marcial-Romero, J.R.1
Escardo, M.H.2
-
2
-
-
33847785383
-
Constructive analysis, types and exact real numbers
-
Geuvers, H., Niqui, M., Spitters, B., Wiedijk, F.: Constructive analysis, types and exact real numbers. Math. Struct. Comput. Sci. 17, 3-36 (2007)
-
(2007)
Math. Struct. Comput. Sci
, vol.17
, pp. 3-36
-
-
Geuvers, H.1
Niqui, M.2
Spitters, B.3
Wiedijk, F.4
-
3
-
-
84886797267
-
-
Edalat, A., Heckmann, R.: Computing with real numbers: I. The LFT approach to real number computation; II. A domain framework for computational geometry. In: Barthe, G., Dybjer, P., Pinto, L., Saraiva, J. (eds.) APPSEM 2000. LNCS, 2395, pp. 193-267. Springer, Heidelberg (2002)
-
Edalat, A., Heckmann, R.: Computing with real numbers: I. The LFT approach to real number computation; II. A domain framework for computational geometry. In: Barthe, G., Dybjer, P., Pinto, L., Saraiva, J. (eds.) APPSEM 2000. LNCS, vol. 2395, pp. 193-267. Springer, Heidelberg (2002)
-
-
-
-
4
-
-
31144469360
-
A certified, corecursive implementation of exact real numbers
-
Ciaffaglione, A., Di Gianantonio, P.: A certified, corecursive implementation of exact real numbers. Theor. Comput. Sci. 351, 39-51 (2006)
-
(2006)
Theor. Comput. Sci
, vol.351
, pp. 39-51
-
-
Ciaffaglione, A.1
Di Gianantonio, P.2
-
5
-
-
33847693226
-
Affine functions and series with co-inductive real numbers
-
Bertot, Y.: Affine functions and series with co-inductive real numbers. Math. Struct. Comput. Sci. 17, 37-63 (2007)
-
(2007)
Math. Struct. Comput. Sci
, vol.17
, pp. 37-63
-
-
Bertot, Y.1
-
6
-
-
70350373766
-
Coinduction for exact real number computation. Theory Comput. Sys
-
to appear
-
Berger, U., Hou, T.: Coinduction for exact real number computation. Theory Comput. Sys. (to appear, 2009)
-
(2009)
-
-
Berger, U.1
Hou, T.2
-
7
-
-
70350261811
-
Coinductive formal reasoning in exact real arithmetic. Logical Methods in Computer
-
Niqui, M.: Coinductive formal reasoning in exact real arithmetic. Logical Methods in Computer Science 4, 1-40 (2008)
-
(2008)
Science
, vol.4
, pp. 1-40
-
-
Niqui, M.1
-
8
-
-
78650969152
-
Realizability interpretation of proofs in constructive analysis. Theory Comput. Sys
-
to appear
-
Schwichtenberg, H.: Realizability interpretation of proofs in constructive analysis. Theory Comput. Sys. (to appear, 2009)
-
(2009)
-
-
Schwichtenberg, H.1
-
9
-
-
84920752302
-
Applications of inductive definitions and choice principles to program synthesis
-
Crosilla, L, Schuster, P, eds, From Sets and Types to Topology and Analysis Towards practicable foundations for constructive mathematics. Oxford, Oxford University Press, Oxford
-
Berger, U., Seisenberger, M.: Applications of inductive definitions and choice principles to program synthesis. In: Crosilla, L., Schuster, P. (eds.) From Sets and Types to Topology and Analysis Towards practicable foundations for constructive mathematics. Oxford Logic Guides, vol. 48, pp. 137-148. Oxford University Press, Oxford (2005)
-
(2005)
Logic Guides
, vol.48
, pp. 137-148
-
-
Berger, U.1
Seisenberger, M.2
-
10
-
-
33749554578
-
-
Ghani, N., Hancock, P., Pattinson, D.: Continuous functions on final coalgebras. Electr. Notes in Theoret. Comp. Sci. 164 (2006)
-
Ghani, N., Hancock, P., Pattinson, D.: Continuous functions on final coalgebras. Electr. Notes in Theoret. Comp. Sci. 164 (2006)
-
-
-
-
11
-
-
0003227926
-
Iterated Inductive Definitions and Subsystems of Analysis: Recent Proof-Theoretical Studies
-
Springer, Berlin
-
Buchholz, W., Feferman, F., Pohlers, W., Sieg, W.: Iterated Inductive Definitions and Subsystems of Analysis: Recent Proof-Theoretical Studies. Lecture Notes in Mathematics, vol. 897. Springer, Berlin (1981)
-
(1981)
Lecture Notes in Mathematics
, vol.897
-
-
Buchholz, W.1
Feferman, F.2
Pohlers, W.3
Sieg, W.4
-
12
-
-
40949090581
-
-
Bradfield, J., Stirling, C.: Modal mu-calculi. In: Blackburn, P., van Benthem, J., Wolter, F. (eds.) Handbook of Modal Logic. Studies in Logic and Practical Reasoning, 3, pp. 721-756. Elsevier, Amsterdam (2007)
-
Bradfield, J., Stirling, C.: Modal mu-calculi. In: Blackburn, P., van Benthem, J., Wolter, F. (eds.) Handbook of Modal Logic. Studies in Logic and Practical Reasoning, vol. 3, pp. 721-756. Elsevier, Amsterdam (2007)
-
-
-
-
13
-
-
16244373256
-
Continuous Lattices and Domains
-
Cambridge University Press, Cambridge
-
Gierz, G., Hofmann, K., Keimel, K., Lawson, J., Mislove, M., Scott, D.: Continuous Lattices and Domains. Encyclopedia of Mathematics and its Applications, vol. 93. Cambridge University Press, Cambridge (2003)
-
(2003)
Encyclopedia of Mathematics and its Applications
, vol.93
-
-
Gierz, G.1
Hofmann, K.2
Keimel, K.3
Lawson, J.4
Mislove, M.5
Scott, D.6
-
14
-
-
0001776862
-
Interpretation of analysis by means of constructive functionals of finite types
-
Kreisel, G.: Interpretation of analysis by means of constructive functionals of finite types. Constructivity in Mathematics, 101-128 (1959)
-
(1959)
Constructivity in Mathematics
, pp. 101-128
-
-
Kreisel, G.1
-
15
-
-
84957586679
-
-
Tatsuta, M.: Realizability of monotone coinductive definitions and its application to program synthesis. In: Jeuring, J. (ed.) MPC 1998. Lecture Notes in Mathematics, 1422, pp. 338-364. Springer, Heidelberg (1998)
-
Tatsuta, M.: Realizability of monotone coinductive definitions and its application to program synthesis. In: Jeuring, J. (ed.) MPC 1998. Lecture Notes in Mathematics, vol. 1422, pp. 338-364. Springer, Heidelberg (1998)
-
-
-
-
16
-
-
0003315261
-
Metamathematical Investigation of Intuitionistic Arithmetic and Analysis
-
Springer, Heidelberg
-
Troelstra, A.: Metamathematical Investigation of Intuitionistic Arithmetic and Analysis. Lecture Notes in Mathematics, vol. 344. Springer, Heidelberg (1973)
-
(1973)
Lecture Notes in Mathematics
, vol.344
-
-
Troelstra, A.1
-
17
-
-
70350371184
-
-
Abramsky, S., Jung, A.: Domain theory. In: Abramsky, S., Gabbay, D.M., Maibaum, T.S.E. (eds.) Handb. Logic Comput. Sci., 3, pp. 1-168. Clarendon Press, Oxford (1994)
-
Abramsky, S., Jung, A.: Domain theory. In: Abramsky, S., Gabbay, D.M., Maibaum, T.S.E. (eds.) Handb. Logic Comput. Sci., vol. 3, pp. 1-168. Clarendon Press, Oxford (1994)
-
-
-
-
18
-
-
0025507960
-
Data structures and program transformation
-
Malcolm, G.: Data structures and program transformation. Science of Computer Programming 14, 255-279 (1990)
-
(1990)
Science of Computer Programming
, vol.14
, pp. 255-279
-
-
Malcolm, G.1
-
19
-
-
84920751005
-
-
Hancock, P., Setzer, A.: Guarded induction and weakly final coalgebras in dependent type theory. In: Crosilla, L., Schuster, P. (eds.) From Sets and Types to Topology and Analysis. Towards Practicable Foundations for Constructive Mathematics, pp. 115-134. Clarendon Press, Oxford (2005)
-
Hancock, P., Setzer, A.: Guarded induction and weakly final coalgebras in dependent type theory. In: Crosilla, L., Schuster, P. (eds.) From Sets and Types to Topology and Analysis. Towards Practicable Foundations for Constructive Mathematics, pp. 115-134. Clarendon Press, Oxford (2005)
-
-
-
-
20
-
-
13644281245
-
Iteration and coiteration schemes for higherorder and nested datatypes
-
Abel, A., Matthes, R., Uustalu, T.: Iteration and coiteration schemes for higherorder and nested datatypes. Theor. Comput. Sci. 333, 3-66 (2005)
-
(2005)
Theor. Comput. Sci
, vol.333
, pp. 3-66
-
-
Abel, A.1
Matthes, R.2
Uustalu, T.3
-
21
-
-
84855190252
-
Recursive coalgebras from comonads
-
Capretta, V., Uustalu, T., Vene, V.: Recursive coalgebras from comonads. Information and Computation 204, 437-468 (2006)
-
(2006)
Information and Computation
, vol.204
, pp. 437-468
-
-
Capretta, V.1
Uustalu, T.2
Vene, V.3
-
22
-
-
19244379283
-
-
Kone?cný, M.: Real functions incrementally computable by finite automata. Theor. Comput. Sci. 315, 109-133 (2004)
-
Kone?cný, M.: Real functions incrementally computable by finite automata. Theor. Comput. Sci. 315, 109-133 (2004)
-
-
-
-
24
-
-
70350362438
-
-
Plume, D.: A Calculator for Exact Real Number Computation. PhD thesis. University of Edinburgh (1998)
-
Plume, D.: A Calculator for Exact Real Number Computation. PhD thesis. University of Edinburgh (1998)
-
-
-
-
25
-
-
0004017527
-
Proof theory at work: Program development in the Minlog system
-
Bibel, W, Schmitt, P, eds, Automated Deduction-A Basis for Applications, Kluwer, Dordrecht
-
Benl, H., Berger, U., Schwichtenberg, H., Seisenberger, M., Zuber,W.: Proof theory at work: Program development in the Minlog system. In: Bibel, W., Schmitt, P. (eds.) Automated Deduction-A Basis for Applications. Applied Logic Series, vol. II, pp. 41-71. Kluwer, Dordrecht (1998)
-
(1998)
Applied Logic Series
, vol.2
, pp. 41-71
-
-
Benl, H.1
Berger, U.2
Schwichtenberg, H.3
Seisenberger, M.4
Zuber, W.5
-
26
-
-
54049125113
-
A functional algorithm for exact real integration with invariant measures
-
Scriven, A.: A functional algorithm for exact real integration with invariant measures. Electron. Notes Theor. Comput. Sci. 218, 337-353 (2008)
-
(2008)
Electron. Notes Theor. Comput. Sci
, vol.218
, pp. 337-353
-
-
Scriven, A.1
|