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Closed Action Calculi (1998)  (Make Corrections)  (5 citations)
Philippa Gardner
Theoretical Computer Science



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Abstract: Action calculi provide a framework for capturing many kinds of interactive behaviour by focussing on the primitive notion of names. We introduce a name-free account of action calculi, called the closed action calculi, and show that there is a strong correspondence between the original presentation and the name-free presentation. We also add free names plus natural axioms to the closed world, and show that the abstraction operator can be constructed as a derived operator. Our results show that... (Update)

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...and discarded at will, the values, and those which cannot. Since action calculi are completely determined by the closed fragment [Gar95, Gar98], our type theories are as expressive as the corresponding action calculi. 3.1 First Order Theory Let us fix a signature K = P; K)...

...greatly clarify the status of action calculi as a framework. In particular, sharing graphs [1, 11] and Gardner s closed action calculi [8] should be addressed. We also have to develop the notion of polymorphic context alluded to in Section 6. Calculi already equipped with...

Cited by:   More
Comparing Logics for Rewriting: Rewriting logic, action.. - Gadducci, Montanari (2002)   (Correct)
Contexts and Embeddings for Closed Shallow Action Graphs - Cattani, Leifer, Milner (2000)   (Correct)
Deriving Bisimulation Congruences for Reactive Systems - Leifer, Milner (2000)   (Correct)

Active bibliography (related documents):   More   All
0.8:   Graphical Presentations of Interactive Systems - Gardner (1999)   (Correct)
0.7:   Types and Models for Higher-Order Action Calculi - Gardner, Hasegawa (1997)   (Correct)
0.6:   Higher-Order and Reflexive Action Calculi: Their Type Theory .. - Gardner, Hasegawa (1998)   (Correct)

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0.2:   From Action Calculi to Linear Logic - Barber, Gardner, Hasegawa, Plotkin (1998)   (Correct)
0.0:   Modeling Sharing and Recursion for Weak Reduction.. - Benaissa, Lescanne, Rose (1996)   (Correct)
0.0:   Process Structures - Honda (1997)   (Correct)

Related documents from co-citation:   More   All
5:   Calculi for interaction - Milner - 1996
4:   The chemical abstract machine (context) - Berry, Boudol - 1990
3:   A name-free account of action calculi (context) - Gardner - 1994

BibTeX entry:   (Update)

Gardner, P. (1998), Closed action calculi, to appear in Theoret. Comput. Sci. http://citeseer.ist.psu.edu/gardner98closed.html   More

@article{ gardner99closed,
    author = "Philippa Gardner",
    title = "Closed action calculi",
    journal = "Theoretical Computer Science",
    volume = "228",
    number = "1--2",
    pages = "77--103",
    year = "1999",
    url = "citeseer.ist.psu.edu/gardner98closed.html" }
Citations (may not include all citations):
410   Mobile ambients - Cardelli, Gordon - 1997  ACM   DBLP
369   Information and Computation (context) - Moggi, computation - 1991  DBLP
297   A calculus of mobile processes (context) - Milner, Parrow et al. - 1992
174   Springer-Verlag (context) - Abadi, Cardelli et al. - 1996
89   Calculi for interaction - Milner - 1996  DBLP
47   Introduction to Combinators and Lambda-calculus (context) - Hindley, Seldin - 1986
26   Mathematical Proceedings of the Cambridge Philosophical Soci.. (context) - Joyal, Street et al. - 1996
18   INRIA Sofia-Antipolis (context) - Boudol, the et al. - 1992
15   or syntactic action structures (context) - Milner - 1993
14   University of Edinburgh (context) - Mifsud, PhD et al. - 1996
14   A name-free account of action calculi (context) - Gardner - 1995  DBLP
14   A name-free account of action calculi (context) - Gardner - 1994  DBLP
13   From action calculi to linear logic - Barber, Gardner et al. - 1997  ACM   DBLP
9   Elementary control structures (context) - Power - 1996  ACM   DBLP
9   Categorical logic of names and abstraction in action calculi - Pavlovic - 1997  ACM   DBLP
8   Types and models for higher-order action calculi - Gardner, Hasegawa - 1997  ACM   DBLP
5   A Categorical Semantics of Let and Letrec (context) - Hasegawa, Sharing - 1997
5   Higher-order action calculi (context) - Milner - 1994  ACM   DBLP
4   Reflexive Action Calculi (context) - Milner - 1994
2   An algebraic presentation of term graphs via ps-monoidal cat.. (context) - Corradini, Gadducci - 1997
1   A mixed linear and non-linear logic; proofs (context) - Benton - 1995
1   A calculus for cryptgraphic protocols (context) - Abadi, Gordon - 1997
1   On asynshronous communication semantics (context) - Honda, Tokoro - 1992
1   Action calculi VIII: Contextual Action Calculi (context) - Gardner, Milner - 1994



The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://www.cl.cam.ac.uk/users/pag20/):   More
Equivalences between Logics and their Representing Type Theories - Gardner (1992)   (Correct)
Graphical Presentations of Interactive Systems - Gardner (1999)   (Correct)
Higher-Order and Reflexive Action Calculi: Their Type Theory .. - Gardner, Hasegawa (1998)   (Correct)

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