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The Tile Model (1996)  (Make Corrections)  (49 citations)
Fabio Gadducci, U. Montanari



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Abstract: . In this paper we introduce a model for a wide class of computational systems, whose behaviour can be described by certain rewriting rules. We gathered our inspiration both from the world of term rewriting, in particular from the rewriting logic framework [Mes92], and of concurrency theory: among the others, the structured operational semantics [Plo81], the context systems [LX90] and the structured transition systems [CM92] approaches. Our model recollects many properties of these sources:... (Update)

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30:   Mapping Tile Logic into Rewriting Logic - Meseguer, Montanari - 1998
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BibTeX entry:   (Update)

F. Gadducci and U. Montanari, The Tile Model, in Proof, Language and Interaction: Essays in Honour of Robin Milner, MIT Press, to appear. http://citeseer.ist.psu.edu/article/gadducci96tile.html   More

@techreport{ gadducci96tile,
    author = "F. Gadducci and U. Montanari",
    title = "The Tile Model",
    number = "TR-96-27",
    month = "30,",
    year = "1996",
    url = "citeseer.ist.psu.edu/article/gadducci96tile.html" }
Citations (may not include all citations):
2732   Communicating Sequential Processes (context) - Hoare - 1985
1933   Communication and Concurrency (context) - Milner - 1989
906   A Structural Approach to Operational Semantics - Plotkin - 1981
474   Term Rewriting Systems - Klop - 1992
299   Conditional Rewriting Logic as a Unified Model of Concurrenc.. (context) - Meseguer - 1992
236   Categories for the Working Mathematician (context) - MacLane - 1971
218   Process Algebra for Synchronous Communication (context) - Bergstra, Klop - 1984
156   Basic Concepts of Enriched Category Theory (context) - Kelly - 1982
113   Functorial Semantics of Algebraic Theories (context) - Lawvere - 1963
112   Initial Algebra Semantics and Continuous Algebras (context) - Goguen, Tatcher et al. - 1977
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102   Formal Verifications of Parallel Programs (context) - Keller - 1976
102   Term Graph Rewriting (context) - van Eekelen, Plasmeijer et al. - 1993
102   Computations in Orthogonal Rewriting Systems (context) - Huet, L'evy - 1991
80   Review of the Elements of 2-categories (context) - Kelly, Street - 1974
67   Computational Semantics of Term Rewriting Systems (context) - Boudol - 1985
66   Compositionality Through an Operational Semantics of Context.. (context) - Larsen, Xinxin - 1990
64   Turning SOS Rules into Equations - Aceto, Bloom et al.
46   Rewriting as a Unified Model of Concurrency (context) - Meseguer - 1990
41   Annals of Pure and Applied Logic (context) - Jacobs, Weakening - 1994
37   A Distributed Operational Semantics For CCS Based On Conditi.. (context) - Degano, De Nicola et al. - 1988
34   An Algebraic Semantics for Structured Transition Systems and.. (context) - Corradini, Montanari - 1992
28   Doctrines in Categorical Logic (context) - Kock, Reyes - 1977
28   Foundations of Equational Deduction: A Categorical Treatment.. (context) - Rydeheard, Stell - 1987
27   the Algebraic Approach to Concurrent Term Rewriting - Gadducci - 1996
25   Categorical Structures (context) - Street - 1992
21   An Abstract Formulation for Rewrite Systems (context) - Power - 1989
21   Theoretical Computer Science (context) - Higher, Devices et al. - 1985
17   Flow Models of Distributed Computations: Three Equivalent Se.. (context) - Boudol, Castellani - 1991
12   Towards the Unification of Models for Concurrency (context) - Ferrari, Montanari - 1990
12   Enriched Categories as Models of Computations - Gadducci, Montanari - 1996
12   Operational Petri Net Semantics for CCSP (context) - Olderog - 1987
10   Term Rewriting in CT \Sigma (context) - Corradini - 1993
10   CPO Models for Infinite Term Rewriting - Corradini, Gadducci - 1995
8   General Associativity and General Composition for Double-Cat.. (context) - Dawson, Par'e - 1993
8   Term Rewriting (context) - Corradini
6   Higher Dimensional Word Problem (context) - Burroni
6   Relating Two Categorical Models of Concurrency (context) - Corradini, Gadducci et al. - 1995
6   the Implementation of Concurrent Calculi in Net Calculi: Two.. (context) - Gorrieri, Montanari - 1994
4   Trace Nets and Process Automata (context) - Badouel, Darondeau - 1995
3   Ehresmann Multiple Functors I: Limits Relative to Double Cat.. (context) - Bastiani - 1974
2   Prentice Hall Series in Computer Science (context) - Barr, Wells et al. - 1990
1   SOS Contexts as Cells in Double-Categories (context) - Gadducci, Montanari
1   Mycroft On the Relationships of CCS and Petri Nets (context) - Goltz - 1984



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