This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
(1973) (JAG, JWT, EGW, JBW) J. A. Goguen, J. W. Thatcher, E. G. Wagner and J. B. Wright "A Junction between computer science and category theory: I, Basic definitions and examples," Part 1, IBM Research report RC 4526, Sept 1973.
(1974) (JAG, JWT, EGW, JBW) J. A. Goguen, J. W. Thatcher, E. G. Wagner and J. B. Wright "Initial algebra semantics," Extended Abstract, IBM Research Report RC-4865, May 1974. Proceedings, 15th IEEE Symposium on Switching and Automata Theory (1974) pp. 63–77. Full paper, IBM Research Report RC-5243, January 1975. (See 1975a listing.)
(1975) (JAG, JWT, EGW, JBW) J. A. Goguen, J. W. Thatcher, E. G. Wagner and J. B. Wright "Introduction to categories, algebraic theories and algebras," IBM Research Report RC-5369, April 1975.
(1975b) (JAG, JWT, EGW, JBW) J. A. Goguen, J. W. Thatcher, E. G. Wagner and J. B. Wright "Initial algebra semantics and continuous algebras," IBM Research Report RC-5701. November 1975. JACM 24 (1977) pp. 68–95.
(1976) (JAG, JWT, EGW, JBW) J. A. Goguen, J. W. Thatcher, E. G. Wagner and J. B. Wright "A junction between computer science and category theory: I, Basic definitions and examples," Part 2, IBM Research Report RC-5908, March 1976.
(1976a) (EGW, JBW, JAG, JWT) J. A. Goguen, J. W. Thatcher, E. G. Wagner and J. B. Wright "Some fundamentals of order-algebraic semantics," Lecture Notes in Computer Science 45 (Mathematical Foundations of Computer Science 1976) pp.153–168. IBM Research Report RC-6020, May 1976.
(1976b) (JBW, JWT, EGW, JAG) J. A. Goguen, J. W. Thatcher, E. G. Wagner and J. B. Wright "Rational algebraic theories and fixed-point solutions," Extended Abstract, IBM Research Report RC-6116, May 1976. Proceedings, 17th IEEE Symposium on Foundations of Computing, Houston, Texas, October, 1976, pp. 147–158.
(1977) (JBW, EGW, JWT) J. A. Goguen, J. W. Thatcher, E. G. Wagner and J. B. Wright "A uniform approach to inductive posets and inductive closure." Lecture Notes in Computer Science 53 (Mathematical Foundations of Computer Science 1977), pp. 192–212. IBM Research Report RC-6817, October 1977. To appear, Theoretical Computer Science, 1978.
(1977a) (EGW, JWT, JBW) J. A. Goguen, J. W. Thatcher, E. G. Wagner and J. B. Wright "Free continuous theories," IBM Research Report RC-6906, December 1977.
(1978a) (JWT, EGW, JBW) J. A. Goguen, J. W. Thatcher, E. G. Wagner and J. B. Wright "Many-sorted and Ordered Algebraic Theories," IBM Research Report in preparation.
(1978b) (JBW, JWT, EGW) J. A. Goguen, J. W. Thatcher, E. G. Wagner and J. B. Wright "Z-Continuity, Z-Inductiveness and Products," IBM Research Report in preparation.
(1978c) (EGW, JBW, JWT) "Z-inductive, Z-completions of Ordered Theories," IBM Research Report in preparation.
Elgot, C. E. (1973) "Monadic computation and iterative algebraic theories," IBM Research Report RC-4564, October 1973. Proceedings, Logic Colloquium '73, North Holland Publishing Company (1975) 175–230.
Engelfriet, J. and Schmidt, E. M. (1975) "IO and OI," Matematisk Institut, Aarhus Universitet, report DAIMI PB-47, (July 1975).
Mac Lane, S. (1971) Categories for the Working Mathematician, Springer-Verlag, New York, Heidelberg, Berlin (1971).
Maibaum, T. S. E. (1974) "A generalized approach to formal languages," JCSS 8 (1974) 409–439.
Manes, E. G. (1976) Algebraic Theories, Springer-Verlag, New York, Heidelberg, Berlin, (1975).
Nivat, M. (1972) "Languages algebraic sur le magma libre et semantique des schemas de programme," in Automata, Languages and Programming (M. Nivat, Ed.) North Holland (1972) 293–308.
Scott, D. (1970) The lattice of flow diagrams, Oxford University Computing Laboratory, Tech. Monograph PRG-3 (November 1970).
Strong, H. R., Jr. (1971) "High level languages of Maximum Power," IBM Research Report RC-3352. May 1971.
Wagner, E.G. (1971) "An algebraic theory of recursive definitions and recursive languages," Proceedings, 3rd Annual ACM Symposium on Theory of Computing, Shaker Heights, Ohio (1971)
(1973) "From algebras to programming languages," Proceedings, th ACM Symp. on Theory of Computing, Austin, Texas (1973)
(1974) Notes on categories, algebras, and programming languages, Lecture notes from a course given at Queen Mary College of University of London, Spring 1974.
Wand, M. (1973) "Mathematical foundations of formal language theory," MIT, Project Mac Report MAC TR-108. (1974)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1978 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wagner, E.G., Thatcher, J.W., Wright, J.B. (1978). Programming languages as mathematical objects. In: Winkowski, J. (eds) Mathematical Foundations of Computer Science 1978. MFCS 1978. Lecture Notes in Computer Science, vol 64. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08921-7_58
Download citation
DOI: https://doi.org/10.1007/3-540-08921-7_58
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08921-6
Online ISBN: 978-3-540-35757-5
eBook Packages: Springer Book Archive