TY - BOOK
TI - The Combinatory Programme
AU - Engeler, Erwin
T2 - Progress in Theoretical Computer Science
AB - Combinatory logic started as a programme in the foundation of mathematics and in an historical context at a time when such endeavours attracted the most gifted among the mathematicians. This small volume arose under quite differ ent circumstances, namely within the context of reworking the mathematical foundations of computer science. I have been very lucky in finding gifted students who agreed to work with me and chose, for their Ph. D. theses, subjects that arose from my own attempts 1 to create a coherent mathematical view of these foundations. The result of this collaborative work is presented here in the hope that it does justice to the individual contributor and that the reader has a chance of judging the work as a whole. E. Engeler ETH Zurich, April 1994 lCollected in Chapter III, An Algebraization of Algorithmics, in Algorithmic Properties of Structures, Selected Papers of Erwin Engeler, World Scientific PubJ. Co. , Singapore, 1993, pp. 183-257. I Historical and Philosophical Background Erwin Engeler In the fall of 1928 a young American turned up at the Mathematical Institute of Gottingen, a mecca of mathematicians at the time; he was a young man with a dream and his name was H. B. Curry. He felt that he had the tools in hand with which to solve the problem of foundations of mathematics mice and for all. His was an approach that came to be called "formalist" and embodied that later became known as Combinatory Logic.
DA - 1995///
PY - 1995
DP - www.springer.com
LA - en
PB - Birkhäuser Basel
SN - 978-0-8176-3801-6
UR - https://www.springer.com/gb/book/9780817638016
Y2 - 2019/11/26/14:23:14
KW - Algebra
KW - Programming language theory
KW - Purely theoretical
ER -
TY - JOUR
TI - Probabilistic Non-determinism
AU - Jones, Claire
DA - 1989///
PY - 1989
DP - Zotero
SP - 198
LA - en
KW - Denotational semantics
KW - Probabilistic programming
KW - Programming language theory
ER -
TY - CONF
TI - A Probabilistic Powerdomain of Evaluations
AU - Jones, C.
AU - Plotkin, G.
C1 - Piscataway, NJ, USA
C3 - Proceedings of the Fourth Annual Symposium on Logic in Computer Science
DA - 1989///
PY - 1989
DP - ACM Digital Library
SP - 186
EP - 195
PB - IEEE Press
SN - 978-0-8186-1954-0
UR - http://dl.acm.org/citation.cfm?id=77350.77370
Y2 - 2019/11/26/17:27:23
KW - Denotational semantics
KW - Powerdomains
KW - Probabilistic programming
KW - Programming language theory
ER -
TY - JOUR
TI - LCF considered as a programming language
AU - Plotkin, G. D.
T2 - Theoretical Computer Science
AB - The paper studies connections between denotational and operational semantics for a simple programming language based on LCF. It begins with the connection between the behaviour of a program and its denotation. It turns out that a program denotes ⊥ in any of several possible semantics if it does not terminate. From this it follows that if two terms have the same denotation in one of these semantics, they have the same behaviour in all contexts. The converse fails for all the semantics. If, however, the language is extended to allow certain parallel facilities behavioural equivalence does coincide with denotational equivalence in one of the semantics considered, which may therefore be called “fully abstract”. Next a connection is given which actually determines the semantics up to isomorphism from the behaviour alone. Conversely, by allowing further parallel facilities, every r.e. element of the fully abstract semantics becomes definable, thus characterising the programming language, up to interdefinability, from the set of r.e. elements of the domains of the semantics.
DA - 1977/12/01/
PY - 1977
DO - 10/dc7fdn
DP - ScienceDirect
VL - 5
IS - 3
SP - 223
EP - 255
J2 - Theoretical Computer Science
LA - en
SN - 0304-3975
UR - http://www.sciencedirect.com/science/article/pii/0304397577900445
Y2 - 2019/11/26/16:59:50
KW - Probabilistic programming
KW - Programming language theory
ER -