Bergstra, J. A., Bethke, I., & Ponse, A. (2015). Equations for formally real meadows. Journal of Applied Logic, 13(2, pt. B), 1-23. Advance online publication. https://doi.org/10.1016/j.jal.2015.01.004[details]
Bethke, I., Rodenburg, P., & Sevenster, A. (2015). The structure of finite meadows. Journal of Logical and Algebraic Methods in Programming, 84(2), 276-282. Advance online publication. https://doi.org/10.1016/j.jlamp.2014.08.004[details]
Bergstra, J. A., Bethke, I., & Ponse, A. (2013). Cancellation meadows: a generic basis theorem and some applications. Computer Journal, 56(1), 3-14. Advance online publication. https://doi.org/10.1093/comjnl/bxs028[details]
2012
Bergstra, J. A., & Bethke, I. (2012). On the contribution of backward jumps to instruction sequence expressiveness. Theory of Computing Systems, 50(4), 706-720. https://doi.org/10.1007/s00224-011-9376-x[details]
Bergstra, J. A., & Bethke, I. (2011). Straight-line Instruction Sequence Completeness for Total Calculations on Cancellation Meadows. Theory of Computing Systems, 48(4), 840-864. https://doi.org/10.1007/s00224-010-9272-9[details]
Bergstra, J. A., & Bethke, I. (2007). Predictable and Reliable Program Code: Virtual Machine-Based Projection Semantics. In J. A. Bergstra, & M. Burgess (Eds.), Handbook of Network and System Administration (pp. 653-658). Elsevier. [details]
Bergstra, J. A., Bethke, I., & Ponse, A. (2007). Thread algebra and risk assessment services. In C. Dimitracopoulos, L. Newelski, & D. Normann (Eds.), Proceedings Logic Colloquium 2005 (Vol. 28, pp. 1-17). Cambridge University Press. [details]
2005
Bergstra, J. A., & Bethke, I. (2005). An upper bound for the equational specification of finite state services. Information Processing Letters, 94(6), 267-269. https://doi.org/10.1016/j.ipl.2005.02.010[details]
Bergstra, J. A., & Bethke, I. (2003). Polarized Process Algebra and Program Equivalence. In J. C. M. Baeten, J. K. Lenstra, J. Parrow, & G. J. Woeginger (Eds.), Automata, Languages and Programming, 30th International Colloquium, ICALP 2003 (Vol. 2719, pp. 1-21). Springer. [details]
Bethke, I. (2003). Completion of equational specifications. In Terese (Ed.), Term Rewriting Systems, Cambridge Tracts in Theoretical Computer Science (pp. 260-300). (55). Cambridge: Cambridge University Press. [details]
Bethke, I. (2003). Lambda calculus. In Terese (Ed.), Term Rewriting Systems, Cambridge Tracts in Theoretical Computer Science (pp. 548-587). (45). Cambridge: Cambridge University Press. [details]
Bethke, I., Klop, J. W., & Vrijer, R. D. (1999). Extending partial combinatory algebras. Mathematical Structures in Computer Science, 9(4), 483-506.
1996
Bethke, I., & Klop, J. W. (1996). Collapsing partial combinatory algebras. Lecture Notes in Computer Science, 1074, 57-73.
Bethke, I., & Rodenburg, P. H. (1996). Equational constructor induction. Fundamenta Informaticae, 25(1), 1-16.
Bethke, I., Klop, J. W., & Vrijer, R. D. (1996). Completing partial combinatory algebras with unique head-normal forms. In Proc. 11th Annual IEEE Symposium on Logic and Computer Science, New Brunswick, New Jersey, 27-30 July 1996 (pp. 448-454). IEEE Computer Society Press.
1995
Bergstra, J. A., Bethke, I., & Rodenburg, P. H. (1995). A propositional logic with four values: true, false, divergent and meaningless. Journal of Applied Non-Classical Logics, 5, 199-217. [details]
1994
Bergstra, J. A., Bethke, I., & Ponse, A. (1994). Process algebra with combinators. Lecture Notes in Computer Science, 832, 36-65.
Bethke, I. (1987). On the existence of extensional partial combinatory algebras. Journal of Symbolic Logic, 52(3), 819-833. https://doi.org/10.2307/2274368
2014
van Albada, D., Bakker, R., Bethke, I., Belleman, R., van den Berg, D., Bruntink, M., Dekkers, H., Douma, R., van Inge, T., Lagerberg, J., Pimentel, A., Polstra, S., Poss, R., Varbanescu, A. L., Visser, A., & Zaytsev, V. (2014). Whitepaper: Project-based curricula. Universiteit van Amsterdam. [details]
Bergstra, J. A., & Bethke, I. (2010). On the contribution of backward jumps to instruction sequence expressiveness. ArXiv. http://arxiv.org/abs/1005.5662[details]
Bergstra, J. A., & Bethke, I. (2009). Straight-line instruction sequence completeness for total calculation on cancellation meadows. ArXiv. http://arxiv.org/abs/0905.4612[details]
Bergstra, J. A., Bethke, I., & Burgess, M. (2007). A Process Algebra Based Framework for Promise Theory. (PRG technical report). ArXiv. http://arxiv.org/abs/0707.0744[details]
Bergstra, J. A., & Bethke, I. (2006). Predictable and Reliable Program Code: Virtual Machine-based Projection Semantics. Amsterdam: Programming Research Group, UvA. [details]
2005
Bergstra, J. A., Bethke, I., & Ponse, A. (2005). Decision Problems for Pushdown Threads. (PRG0502). Amsterdam: Informatics Institute. [details]
2000
Bergstra, J. A., & Bethke, I. (2000). Network algebra in Java. (J.A. Bergstra, Objects, classes, molecules and threads). Amsterdam: Informatics Institute. [details]
Bergstra, J. A., & Bethke, I. (2000). Network algebra in Java. In J. A. Bergstra (Ed.), Objects, classes, molecules and threads Amsterdam: Faculteit der Natuurwetenschappen Wiskunde en InformaticaUVA. [details]
Bergstra, J. A., Bethke, I., & Loots, M. E. (2000). A First Course on C Program Reading. (Report P0002). Amsterdam: Informatics Institute. [details]
Bergstra, J. A., Bethke, I., & Ponse, A. (2000). Basic Multi-Competence Programming. (Report P0001). Amsterdam: Informatics Institute. [details]
Bergstra, J. A., Bethke, I., & Ponse, A. (2000). Data flow networks in Java. In J. A. Bergstra (Ed.), Objects, classes, molecules and threads Amsterdam: Faculteit der Natuurwetenschappen, Wiskunde en Informatica. [details]
Bethke, I., & Kaldeway, A. (2000). Datastructuren en Java. Amsterdam: Informatics Institute. [details]
1997
Bethke, I., Klop, J. W., & Vrijer, R. D. (1997). Origin tracking in orthogonal term rewriting systems. (IR-441). Amsterdam: Vrije Universiteit Amsterdam, Department of Mathematics and Computer Science.
1993
Bethke, I., & Ponse, A. (1993). A car registration authority, a concise PSF specification. (P9318). Amsterdam: University of Amsterdam, Informatics Institute.
1989
Bethke, I., & Richards, B. (1989). Temporal databases: An IQ approach. In Temporal Representation and Inference (pp. 231-284). (Cognitive Science Series). Academic Press.
Bethke, I., & Richards, B. (1989). The temporal logic IQ. In Temporal Representation and Inference (pp. 211-230). (Cognitive Science Series). Academic Press.
Bethke, I., & Ponse, A. (2003). Programma-Algebra, een inleiding tot de Programmatuur. Amsterdam: Vossiuspers UvA. [details]
2005
Bethke, I., Diertens, B., & Ponse, A. (2005). Webklas Informatica: Wat is een programma? Electronic publication in Dutch. http://www.science.uva.nl/~alban/WebKlas
1997
Bethke, I., Klop, J. W., & Vrijer, R. D. (1997). Looking back. In Liber amicorum, Paul Klint 25 jaar SMC/CWI (pp. 43-55). Amsterdam: CWI.
2017
Bergstra, J. A., Bethke, I., & Hendriks, D. (2017). Universality of Univariate Mixed Fractions in Divisive Meadows. (1 ed.) Informatics Institute, University of Amsterdam. https://arxiv.org/abs/1707.00499[details]
Bergstra, J. A., & Bethke, I. (2015). A negative result on algebraic specifications of the meadow of rational numbers. (1 ed.) Universiteit van Amsterdam. https://arxiv.org/abs/1507.00548v1
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