TY - CONF
TI - Bisimulation for probabilistic transition systems: A coalgebraic approach
AU - de Vink, E. P.
AU - Rutten, J. J. M. M.
A2 - Degano, Pierpaolo
A2 - Gorrieri, Roberto
A2 - Marchetti-Spaccamela, Alberto
T3 - Lecture Notes in Computer Science
AB - The notion of bisimulation as proposed by Larsen and Skou for discrete probabilistic transition systems is shown to coincide with a coalgebraic definition in the sense of Aczel and Mendier in terms of a set functor. This coalgebraic formulation makes it possible to generalize the concepts to a continuous setting involving Borel probability measures. Under reasonable conditions, generalized probabilistic bisimilarity can be characterized categorically. Application of the final coalgebra paradigm then yields an internally fully abstract semantical domain with respect to probabilistic bisimulation.
C1 - Berlin, Heidelberg
C3 - Automata, Languages and Programming
DA - 1997///
PY - 1997
DO - 10/fcqzmk
DP - Springer Link
SP - 460
EP - 470
LA - en
PB - Springer
SN - 978-3-540-69194-5
ST - Bisimulation for probabilistic transition systems
KW - Categorical probability theory
KW - Coalgebras
KW - Denotational semantics
KW - Probabilistic transition systems
KW - Transition systems
ER -
TY - JOUR
TI - On Emergence and Explanation
AU - Baas, Nils Andreas
AU - Emmeche, Claus
T2 - Intellectica. Revue de l'Association pour la Recherche Cognitive
AB - Emergence is a universal phenomenon that can be defined mathematically in a very general way. This is useful for the study of scientifically legitimate explanations of complex systems, here defined as hyperstructures. A requirement is that observation mechanisms are considered within the general framework. Two notions of emergence are defined, and specific examples of these are discussed.
DA - 1997///
PY - 1997
DO - 10/ggdf9z
DP - Crossref
VL - 25
IS - 2
SP - 67
EP - 83
LA - en
SN - 0769-4113
UR - https://www.persee.fr/doc/intel_0769-4113_1997_num_25_2_1558
Y2 - 2019/11/22/17:59:11
KW - Biology
KW - Emergence
ER -
TY - JOUR
TI - A Tutorial on Learning With Bayesian Networks
AU - Heckerman, David
AB - A Bayesian network is a graphical model that encodes probabilistic relationships among variables of interest. When used in conjunction with statistical techniques, the graphical model has several advantages for data analysis. One, because the model encodes dependencies among all variables, it readily handles situations where some data entries are missing. Two, a Bayesian network can …
DA - 1995/03/01/
PY - 1995
DP - www.microsoft.com
LA - en-US
UR - https://www.microsoft.com/en-us/research/publication/a-tutorial-on-learning-with-bayesian-networks/
Y2 - 2019/11/22/19:09:15
KW - Bayesianism
KW - Classical ML
KW - Machine learning
ER -
TY - JOUR
TI - On the Computational Power of Neural Nets
AU - Siegelmann, H. T.
AU - Sontag, E. D.
T2 - Journal of Computer and System Sciences
AB - This paper deals with finite size networks which consist of interconnections of synchronously evolving processors. Each processor updates its state by applying a "sigmoidal" function to a linear combination of the previous states of all units. We prove that one may simulate all Turing machines by such nets. In particular, one can simulate any multi-stack Turing machine in real time, and there is a net made up of 886 processors which computes a universal partial-recursive function. Products (high order nets) are not required, contrary to what had been stated in the literature. Non-deterministic Turing machines can be simulated by non-deterministic rational nets, also in real time. The simulation result has many consequences regarding the decidability, or more generally the complexity, of questions about recursive nets.
DA - 1995/02/01/
PY - 1995
DO - 10/dvwtc3
DP - ScienceDirect
VL - 50
IS - 1
SP - 132
EP - 150
J2 - Journal of Computer and System Sciences
LA - en
SN - 0022-0000
UR - http://www.sciencedirect.com/science/article/pii/S0022000085710136
Y2 - 2019/11/28/17:50:06
KW - Classical ML
KW - Machine learning
ER -
TY - CONF
TI - On Geometry of Interaction
AU - Girard, Jean-Yves
A2 - Schwichtenberg, Helmut
T3 - NATO ASI Series
AB - The paper expounds geometry of interaction, for the first time in the full case, i.e. for all connectives of linear logic, including additives and constants. The interpretation is done within a C*-algebra which is induced by the rule of resolution of logic programming, and therefore the execution formula can be presented as a simple logic programming loop. Part of the data is public (shared channels) but part of it can be viewed as private dialect (defined up to isomorphism) that cannot be shared during interaction, thus illustrating the theme of communication without understanding. One can prove a nilpotency (i.e. termination) theorem for this semantics, and also its soundness w.r.t. a slight modification of familiar sequent calculus in the case of exponential-free conclusions.
C1 - Berlin, Heidelberg
C3 - Proof and Computation
DA - 1995///
PY - 1995
DO - 10/fr557p
DP - Springer Link
SP - 145
EP - 191
LA - en
PB - Springer
SN - 978-3-642-79361-5
KW - Interactive semantics
KW - Linear logic
ER -
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 - CHAP
TI - Tools for the Advancement of Objective Logic: Closed Categories and Toposes
AU - Lawvere, F. William
T2 - The Logical Foundations of Cognition
A2 - Macnamara, John
A2 - Reyes, Gonzalo E.
DA - 1994///
PY - 1994
DP - PhilPapers
SP - 43
EP - 56
PB - Oxford University Press USA
ST - Tools for the Advancement of Objective Logic
KW - Compendium
KW - Emergence
KW - Psychology
KW - Sketchy
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 - Linear logic
AU - Girard, Jean-Yves
T2 - Theoretical Computer Science
AB - The familiar connective of negation is broken into two operations: linear negation which is the purely negative part of negation and the modality “of course” which has the meaning of a reaffirmation. Following this basic discovery, a completely new approach to the whole area between constructive logics and programmation is initiated.
DA - 1987/01/01/
PY - 1987
DO - 10/cmv5mj
DP - ScienceDirect
VL - 50
IS - 1
SP - 1
EP - 101
J2 - Theoretical Computer Science
LA - en
SN - 0304-3975
UR - http://www.sciencedirect.com/science/article/pii/0304397587900454
Y2 - 2019/11/26/21:07:06
KW - Denotational semantics
KW - Linear logic
KW - Type theory
ER -
TY - CONF
TI - A categorical approach to probability theory
AU - Giry, Michèle
A2 - Banaschewski, B.
T3 - Lecture Notes in Mathematics
C1 - Berlin, Heidelberg
C3 - Categorical Aspects of Topology and Analysis
DA - 1982///
PY - 1982
DO - 10/dtx5t5
DP - Springer Link
SP - 68
EP - 85
LA - en
PB - Springer
SN - 978-3-540-39041-1
KW - Categorical probability 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 -
TY - JOUR
TI - The representation of biological systems from the standpoint of the theory of categories
AU - Rosen, Robert
T2 - The Bulletin of Mathematical Biophysics
DA - 1958/12//
PY - 1958
DO - 10/fdgzxz
DP - Crossref
VL - 20
IS - 4
SP - 317
EP - 341
LA - en
SN - 0007-4985, 1522-9602
UR - http://link.springer.com/10.1007/BF02477890
Y2 - 2019/11/22/18:55:09
KW - Biology
KW - Sketchy
ER -