Formalising the Double-Pushout Approach to Graph Transformation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Söldner, Robert, Plump, Detlef
Format:	Preprint
Published:	2023
Subjects:	Logic in Computer Science
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Linear-Time Graph Programs without Preconditions
by: Alaoui, Ziad Ismaili, et al.
Published: (2025)

Formalising Inductive and Coinductive Containers
by: Damato, Stefania, et al.
Published: (2024)

Formalising the Bruhat-Tits Tree
by: Ludwig, Judith, et al.
Published: (2025)

Exact Real Search: Formalised Optimisation and Regression in Constructive Univalent Mathematics
by: Ambridge, Todd Waugh
Published: (2024)

Formalising the local compactness of the adele ring
by: Mercuri, Salvatore
Published: (2024)

FRETting about Requirements: Formalised Requirements for an Aircraft Engine Controller
by: Farrell, Marie, et al.
Published: (2021)

Formalising and Computing the Fourth Homotopy Group of the $3$-Sphere in Cubical Agda
by: Ljungström, Axel, et al.
Published: (2023)

Temporal Logic Formalisation of ISO 34502 Critical Scenarios: Modular Construction with the RSS Safety Distance
by: Reimann, Jesse, et al.
Published: (2024)

A Logical Formalisation of a Hypothesis in Weighted Abduction: towards User-Feedback Dialogues
by: Motoura, Shota, et al.
Published: (2025)

Correct Black-Box Monitors for Distributed Deadlock Detection: Formalisation and Implementation (Technical Report)
by: Rowicki, Radosław Jan, et al.
Published: (2025)

Bidirectional Interpolation for the Lambda-Calculus -- Revisiting and Formalising Craig-Čubrić Interpolation
by: Bertrand, Meven Lennon, et al.
Published: (2026)

Formalisation of Security for Federated Learning with DP and Attacker Advantage in IIIf for Satellite Swarms -- Extended Version
by: Kammüller, Florian
Published: (2025)

Taming Differentiable Logics with Coq Formalisation
by: Affeldt, Reynald, et al.
Published: (2024)

Termination of Graph Transformation Systems via Generalized Weighted Type Graphs
by: Endrullis, Jörg, et al.
Published: (2023)

Termination of Graph Transformation Systems Using Weighted Subgraph Counting
by: Overbeek, Roy, et al.
Published: (2023)

Paraconsistent Existential Graphs Gamma Peirce System
by: Sierra-Aristizabal, Manuel
Published: (2023)

Complete and Terminating Tableau Calculus for Undirected Graph
by: Nishimura, Yuki, et al.
Published: (2024)

Counterexample-Guided Abstraction Refinement for Generalized Graph Transformation Systems (Full Version)
by: König, Barbara, et al.
Published: (2025)

Unifying Sequent Systems for Gödel-Löb Provability Logic via Syntactic Transformations
by: Lyon, Tim S.
Published: (2024)

The Proof-Theoretic Origin of Double Negation Introduction & Elimination
by: Irani, Khashayar
Published: (2025)

Preservation Theorems for Unravelling-Invariant Classes: A Uniform Approach for Modal Logics and Graph Neural Networks
by: Wałęga, Przemysław Andrzej, et al.
Published: (2026)

On the ABK Conjecture, alpha-well Quasi Orders and Dress-Schiffels product
by: Abraham, Uri, et al.
Published: (2023)

A Modular First Formalisation of Combinatorial Design Theory
by: Edmonds, Chelsea, et al.
Published: (2021)

Higher-Order Weakest Precondition Transformers via a CPS Transformation
by: Kura, Satoshi
Published: (2023)

Univalent Double Categories
by: van der Weide, Niels, et al.
Published: (2023)

A Note on Constructive Canonical Splitter Strategies in Nowhere Dense Graph Classes
by: Fuchser, Janne, et al.
Published: (2025)

Policy-Adaptable Methods For Resolving Normative Conflicts Through Argumentation and Graph Colouring
by: Joyce, Johnny
Published: (2025)

Existential Positive Transductions of Sparse Graphs
by: Mählmann, Nikolas, et al.
Published: (2026)

Revisiting the Fast Fourier Transform in Rocq
by: Théry, Laurent
Published: (2022)

Separability Properties of Monadically Dependent Graph Classes
by: Bonnet, Édouard, et al.
Published: (2025)

Sequent Calculi for Data-Aware Modal Logics
by: Areces, Carlos, et al.
Published: (2025)

Model Explanation via Support Graphs
by: Cabalar, Pedro, et al.
Published: (2023)

Model Checking Markov Chains as Distribution Transformers
by: Aghamov, Rajab, et al.
Published: (2024)

ProofFlow: A Dependency Graph Approach to Faithful Proof Autoformalization
by: Cabral, Rafael, et al.
Published: (2025)

Computing Supported Models via Transformation to Stable Models
by: Li, Fang, et al.
Published: (2025)

Decidability of Graph Neural Networks via Logical Characterizations
by: Benedikt, Michael, et al.
Published: (2024)

Derivatives on Graphs for the Positive Calculus of Relations with Transitive Closure
by: Nakamura, Yoshiki
Published: (2024)

A Framework for Modelling, Verification and Transformation of Concurrent Imperative Programs
by: Bortin, Maksym
Published: (2020)

A Categorical Approach to DIBI Models
by: Gu, Tao, et al.
Published: (2024)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"55c61787f4d709bb7faf8c0c8c32fe99"
ui	"standard"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790971119.43 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "55c61787f4d709bb7faf8c0c8c32fe99" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=55c61787f4d709bb7faf8c0c8c32fe99; ui=standard; language=en"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"31412"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2312_15641/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2312_15641/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790971119.4256
REQUEST_TIME	1790971119

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"55c61787f4d709bb7faf8c0c8c32fe99"
ui	"standard"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790971119.43 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "55c61787f4d709bb7faf8c0c8c32fe99" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=55c61787f4d709bb7faf8c0c8c32fe99; ui=standard; language=en"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"31412"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2312_15641/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2312_15641/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790971119.4256
REQUEST_TIME	1790971119

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: