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A 2-categorical presentation of term graph rewriting

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-07854-1_169openalex-snapshot
Some fundamentals of order-algebraic semantics
inferredcites →https://doi.org/10.1007/3-540-17945-3_8openalex-snapshot
Term graph rewriting
inferredcites →https://doi.org/10.1007/3-540-18508-9_23openalex-snapshot
Foundations of equational deduction: A categorical treatment of equational proofs and unification algorithms
inferredcites →https://doi.org/10.1007/3-540-59200-8_59openalex-snapshot
Relating two categorical models of term rewriting
inferredcites →https://doi.org/10.1007/3-540-59340-3_13openalex-snapshot
Equational reasoning with 2-dimensional diagrams
inferredcites →https://doi.org/10.1007/3-540-61604-7_69openalex-snapshot
Concurrent graph and term graph rewriting
inferredcites →https://doi.org/10.1007/978-1-4612-9839-7openalex-snapshot
Categories for the Working Mathematician
inferredcites →https://doi.org/10.1007/bfb0018358openalex-snapshot
An abstract formulation for rewrite systems
inferredcites →https://doi.org/10.1007/bfb0063101openalex-snapshot
Review of the elements of 2-categories
inferredcites →https://doi.org/10.1016/0168-0072(94)90020-5openalex-snapshot
Semantics of weakening and contraction
inferredcites →https://doi.org/10.1016/0304-3975(80)90013-4openalex-snapshot
Computation on graph-like expressions
inferredcites →https://doi.org/10.1016/0304-3975(92)90182-fopenalex-snapshot
Conditional rewriting logic as a unified model of concurrency
inferredcites →https://doi.org/10.1016/0304-3975(93)90063-yopenalex-snapshot
Hyperedge replacement jungle rewriting for term-rewriting systems and logic programming
inferredcites →https://doi.org/10.1016/s0049-237x(08)71104-2openalex-snapshot
Doctrines in Categorical Logic
inferredcites →https://doi.org/10.1016/s1570-7954(96)80019-2openalex-snapshot
Categorical Structures
inferredcites →https://doi.org/10.1017/s0960129500000980openalex-snapshot
Axiomatizing permutation equivalence
inferredcites →https://doi.org/10.1051/ita/1991250504451openalex-snapshot
Implementing term rewriting by jungle evaluation
inferredcites →https://doi.org/10.1073/pnas.50.5.869openalex-snapshot
FUNCTORIAL SEMANTICS OF ALGEBRAIC THEORIES
inferredcites →https://doi.org/10.1145/177492.177577openalex-snapshot
On the adequacy of graph rewriting for simulating term rewriting
inferredcites →https://doi.org/10.1515/9783112717530openalex-snapshot
Automaten und Funktoren
inferredcites →https://doi.org/10.3233/fi-1996-263401openalex-snapshot
EQUATIONAL TERM GRAPH REWRITING

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Tile Formats for Located and Mobile Systems
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Tile transition systems as structured coalgebras?
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Normal Forms for Partitions and Relations
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An Algebra of Graph Derivations Using Finite (co—) Limit Double Theories
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Mapping tile logic into rewriting logic
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An inductive view of graph transformation
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A Heterogeneous Pushout Approach to Term-Graph Transformation
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An Institution for Graph Transformation
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Axioms for contextual net processes
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On Term Graphs as an Adhesive Category
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A Coalgebraic presentation of structured transition systems
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Compositional SOS and beyond: a coalgebraic view of open systems
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Normal forms for algebras of connections
inferred← citeshttps://doi.org/10.1016/s0304-3975(01)00362-0openalex-snapshot
Comparing logics for rewriting: rewriting logic, action calculi and tile logic
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Dynamic connectors for concurrency
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Some aspects of categories in computer science
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Structured Transition Systems as Lax Coalgebras1 1Research partly supported by the EC TMR Network GETGRATS (General Theory of Graph Transformation Systems)
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GETGRATS A summary of scientific results (with annotated bibliography)
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GETGRATS
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Categorical rewriting of term-like structures
inferred← citeshttps://doi.org/10.1016/s1571-0661(04)80360-8openalex-snapshot
Coalgebraic Monads
inferred← citeshttps://doi.org/10.1016/s1571-0661(04)80560-7openalex-snapshot
GS·Λ Theories
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Internal Strategies in a Rewriting Implementation of Tile Systems
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From SOS Specifications to Structured Coalgebras: How to Make Bisimulation a Congruence
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A Bi-Categorical Axiomatisation of Concurrent Graph Rewriting
inferred← citeshttps://doi.org/10.1016/s1571-0661(05)80470-0openalex-snapshot
Tiles for Concurrent and Located Calculi
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Can Actors and π-Agents Live Together?
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A Logic for Modular Descriptions of Asynchronous and Synchronized Concurrent Systems
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Symmetric monoidal and cartesian double categories as a semantic framework for tile logic
inferred← citeshttps://doi.org/10.1017/s0960129505004743openalex-snapshot
Monads of coalgebras: rational terms and term graphs
inferred← citeshttps://doi.org/10.1023/a:1008647417502openalex-snapshot
An Algebraic Presentation of Term Graphs, via GS-Monoidal Categories
inferred← citeshttps://doi.org/10.1023/a:1008693303228openalex-snapshot
Graph Rewriting, Constraint Solving and Tiles for Coordinating Distributed Systems
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Rewriting on cyclic structures: Equivalence between the operational and the categorical description
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An abstract view on syntax with sharing
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Towards a compositional approach to model transformation for software development
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On Hierarchical Graphs: Reconciling Bigraphs, Gs-monoidal Theories and Gs-graphs
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Semantics-Preserving DPO-Based Term Graph Rewriting
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Term Graph Rewriting and Parallel Term Rewriting
inferred← citeshttps://doi.org/10.48550/arxiv.0811.3400openalex-snapshot
A Cloning Pushout Approach to Term-Graph Transformation
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An abstract view on syntax with sharing
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FIGURE 1 in A new Jurassic carnivorous cockroach (Insecta, Blattaria, Raphidiomimidae) from the Inner Mongolia in China
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Ökologisch-Faunistische Studien An Südbrasilianischen Ameisen.
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Gynandromorphism In Ants.
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