Verifying Global Two-Safety Properties in Neural Networks with Confidence

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Athavale, Anagha, Bartocci, Ezio, Christakis, Maria, Maffei, Matteo, Nickovic, Dejan, Weissenbacher, Georg
Format:	Preprint
Published:	2024
Subjects:	Logic in Computer Science
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

A Tree-Shaped Tableau for Checking the Satisfiability of Signal Temporal Logic with Bounded Temporal Operators
by: Melani, Beatrice, et al.
Published: (2025)

POPACheck: A Model Checker for Probabilistic Pushdown Automata
by: Pontiggia, Francesco, et al.
Published: (2025)

RTAMT -- Runtime Robustness Monitors with Application to CPS and Robotics
by: Yamaguchi, Tomoya, et al.
Published: (2025)

Approximate Distributed Monitoring under Partial Synchrony: Balancing Speed and Accuracy
by: Bonakdarpour, Borzoo, et al.
Published: (2024)

Model Checking Probabilistic Operator Precedence Automata
by: Pontiggia, Francesco, et al.
Published: (2024)

Cumulative-Time Signal Temporal Logic
by: Chen, Hongkai, et al.
Published: (2025)

Model-Free Reinforcement Learning for Symbolic Automata-encoded Objectives
by: Balakrishnan, Anand, et al.
Published: (2022)

LTLGuard: Formalizing LTL Specifications with Compact Language Models and Lightweight Symbolic Reasoning
by: Andresel, Medina, et al.
Published: (2026)

Nonlinear Arithmetic with SMTLIB Division is Undecidable
by: Jovanovic, Dejan
Published: (2026)

CryptoVampire: Automated Reasoning for the Complete Symbolic Attacker Cryptographic Model
by: Jeanteur, Simon, et al.
Published: (2023)

Lecture Notes on Verifying Graph Neural Networks
by: Schwarzentruber, François
Published: (2025)

Verifying Quantized Graph Neural Networks is PSPACE-complete
by: Sälzer, Marco, et al.
Published: (2025)

The Complexity of Verifying Feedforward Neural Networks in Quantised Settings
by: Alsmann, Eric, et al.
Published: (2026)

Verifying Functional Correctness Properties At the Level of Java Bytecode
by: Paganoni, Marco, et al.
Published: (2024)

A DPLL(T) Framework for Verifying Deep Neural Networks
by: Duong, Hai, et al.
Published: (2023)

Categorical Construction of Logically Verifiable Neural Architectures
by: Nye, Logan
Published: (2025)

A Formally Verified Lightning Network
by: Fabiański, Grzegorz, et al.
Published: (2025)

Verifying Numerical Methods with Isabelle/HOL
by: Bryant, Dustin, et al.
Published: (2025)

Verified SHAP: Provable Bounds for Exact Shapley Values of Neural Networks
by: Boetius, David, et al.
Published: (2026)

Formal Reasoning About Confidence and Automated Verification of Neural Networks
by: Afzal, Mohammad, et al.
Published: (2025)

Satisfiability Modulo Theories for Verifying MILP Certificates
by: Wood, Kenan, et al.
Published: (2023)

Wait-Only Broadcast Protocols are Easier to Verify
by: Guillou, Lucie, et al.
Published: (2025)

Verified and Optimized Implementation of Orthologic Proof Search
by: Guilloud, Simon, et al.
Published: (2025)

Probabilistic Linear Logic Programming with an Application to Bayesian Network Computations (Extended Version)
by: Acclavio, Matteo, et al.
Published: (2026)

Many-valued coalgebraic dynamic logics: Safety and strong completeness via reducibility
by: Hansen, Helle Hvid, et al.
Published: (2025)

Universal Horn Sentences and the Joint Embedding Property
by: Bodirsky, Manuel, et al.
Published: (2021)

An Imperative Language for Verified Exact Real-Number Computation
by: Bauer, Andrej, et al.
Published: (2024)

Verifying SQL Queries using Theories of Tables and Relations
by: Mohamed, Mudathir, et al.
Published: (2024)

The Constraint Satisfaction Problem Over Multisorted Cores
by: Delic, Dejan, et al.
Published: (2025)

Relating homotopy equivalences to conservativity in dependent type theories with computation axioms
by: Spadetto, Matteo
Published: (2023)

Utilizing Description Logics for Global Explanations of Heterogeneous Graph Neural Networks
by: Köhler, Dominik, et al.
Published: (2024)

Optimal Abstractions for Verifying Properties of Kolmogorov-Arnold Networks (KANs)
by: Schwartz, Noah, et al.
Published: (2026)

VerifyThis 2019: A Program Verification Competition (Extended Report)
by: Dross, Claire, et al.
Published: (2020)

Verifiers and Generators: Epistemic Semantics for Intuitionistic Logic (Long Version)
by: Barenbaum, Pablo
Published: (2026)

Formally Verified Animation for RoboChart using Interaction Trees
by: Ye, Kangfeng, et al.
Published: (2023)

Model-Based Testing of an Intermediate Verifier Using Executable Operational Semantics
by: Losavio, Lidia, et al.
Published: (2025)

Case Study: Verified Vampire Proofs in the LambdaPi-calculus Modulo
by: Komel, Anja Petković, et al.
Published: (2025)

Verifying Exact Samplers for Continuous Distributions with a Discrete Program Logic
by: de Medeiros, Markus, et al.
Published: (2026)

Creating a Formally Verified Neural Network for Autonomous Navigation: An Experience Report
by: Bukhari, Syed Ali Asadullah, 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
language	"en"
VUFIND_SESSION	"c046ea49ecb9f06d05e24a94f8b49925"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790987084.0754 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "c046ea49ecb9f06d05e24a94f8b49925" ]`]
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	"language=en; VUFIND_SESSION=c046ea49ecb9f06d05e24a94f8b49925; ui=standard"
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	"62542"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2405_14400/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2405_14400/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790987084.0595
REQUEST_TIME	1790987084

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
language	"en"
VUFIND_SESSION	"c046ea49ecb9f06d05e24a94f8b49925"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790987084.0754 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "c046ea49ecb9f06d05e24a94f8b49925" ]`]
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	"language=en; VUFIND_SESSION=c046ea49ecb9f06d05e24a94f8b49925; ui=standard"
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	"62542"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2405_14400/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2405_14400/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790987084.0595
REQUEST_TIME	1790987084

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: