Certificates and Witnesses for Multi-objective ω-regular Queries in Markov Decision Processes

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Baier, Christel, Chau, Calvin, Drobitko, Volodymyr, Jantsch, Simon, Klüppelholz, Sascha
Format:	Preprint
Published:	2025
Subjects:	Logic in Computer Science
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Formal Quality Measures for Predictors in Markov Decision Processes
by: Baier, Christel, et al.
Published: (2024)

Approximate Probabilistic Bisimulation for Continuous-Time Markov Chains
by: Spork, Timm, et al.
Published: (2025)

Positivity-hardness results on Markov decision processes
by: Piribauer, Jakob, et al.
Published: (2023)

Foundations of probability-raising causality in Markov decision processes
by: Baier, Christel, et al.
Published: (2022)

Complete $ω$-Regular Supermartingale Certificates
by: Abate, Alessandro, et al.
Published: (2026)

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

Risk-averse optimization of total rewards in Markovian models using deviation measures
by: Baier, Christel, et al.
Published: (2024)

Multiplicative Rewards in Markovian Models
by: Baier, Christel, et al.
Published: (2025)

A Spectrum of Approximate Probabilistic Bisimulations
by: Spork, Timm, et al.
Published: (2024)

On the Complexity of Robust Markov Decision Processes and Bisimulation Metrics
by: Suilen, Marnix, et al.
Published: (2026)

An algebraic theory of ω-regular languages, via μν-expressions
by: Das, Anupam, et al.
Published: (2025)

Diagonalizing Through the $ω$-Chain: Iterated Self-Certification on Bounded Turing Machines and its Least Fixed Point
by: Sung, Miara
Published: (2026)

Risk-aware Markov Decision Processes Using Cumulative Prospect Theory
by: Brihaye, Thomas, et al.
Published: (2025)

Concurrent Permissive Strategy Templates
by: Anand, Ashwani, et al.
Published: (2026)

Multi-clocked Guarded Recursion Beyond ω
by: Møgelberg, Rasmus Ejlers
Published: (2025)

A Lazy Abstraction Algorithm for Markov Decision Processes: Theory and Initial Evaluation
by: Szekeres, Dániel, et al.
Published: (2024)

Model Checking Linear Temporal Logic with Standpoint Modalities
by: Aghamov, Rajab, et al.
Published: (2025)

Parallelism and Adaptivity in Student-Teacher Witnessing
by: Ježil, Ondřej, et al.
Published: (2026)

Best-Effort Policies for Robust Markov Decision Processes
by: Abate, Alessandro, et al.
Published: (2025)

Witnessed Symmetric Choice and Interpretations in Fixed-Point Logic with Counting
by: Lichter, Moritz
Published: (2022)

A Translation of Probabilistic Event Calculus into Markov Decision Processes
by: Xu, Lyris, et al.
Published: (2025)

Learning Robust Policies for Uncertain Parametric Markov Decision Processes
by: Rickard, Luke, et al.
Published: (2023)

$ω$-Regular Energy Problems
by: Dziadek, Sven, et al.
Published: (2022)

Supermartingale Certificates for Quantitative Omega-regular Verification and Control
by: Henzinger, Thomas A., et al.
Published: (2025)

Witnesses for Fixpoint Games on Lattices
by: König, Barbara, et al.
Published: (2026)

Learning Algorithms for Verification of Markov Decision Processes
by: Brázdil, Tomáš, et al.
Published: (2024)

IntervalMDP.jl: Accelerated Value Iteration for Interval Markov Decision Processes
by: Mathiesen, Frederik Baymler, et al.
Published: (2024)

Computing Witnesses Using the SCAN Algorithm
by: Achammer, Fabian, et al.
Published: (2026)

Zeta Functions and the (Linear) Logic of Markov Processes
by: Seiller, Thomas
Published: (2020)

A Hierarchy of Supermartingales for $ω$-Regular Verification
by: Kura, Satoshi, et al.
Published: (2025)

Constructing Witnesses for Lower Bounds on Behavioural Distances
by: Turkenburg, Ruben, et al.
Published: (2025)

Computational Paths Form a Weak ω-Groupoid
by: Ramos, Arthur F., et al.
Published: (2025)

Computing Witnesses Using the SCAN Algorithm (Extended Preprint)
by: Achammer, Fabian, et al.
Published: (2025)

Games with $ω$-Automatic Preference Relations
by: Bruyère, Véronique, et al.
Published: (2025)

Positional $ω$-regular languages
by: Casares, Antonio, et al.
Published: (2024)

ocLTL: LTL Realizability and Synthesis Modulo ω-Categorical Structures
by: Asor, Ohad
Published: (2026)

Invertible cells in $ω$-categories
by: Benjamin, Thibaut, et al.
Published: (2024)

Partial Quantifier Elimination By Certificate Clauses
by: Goldberg, Eugene
Published: (2020)

Evidential Decision Theory via Partial Markov Categories
by: Di Lavore, Elena, et al.
Published: (2023)

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	"275003efc808c0729949ddf1752a3e5b"
language	"en"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790584217.168 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "275003efc808c0729949ddf1752a3e5b" ]`]
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=275003efc808c0729949ddf1752a3e5b; language=en; 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	"216.73.216.147"
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	"5020"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2508_17859/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2508_17859/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790584217.156
REQUEST_TIME	1790584217

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"275003efc808c0729949ddf1752a3e5b"
language	"en"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790584217.168 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "275003efc808c0729949ddf1752a3e5b" ]`]
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=275003efc808c0729949ddf1752a3e5b; language=en; 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	"216.73.216.147"
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	"5020"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2508_17859/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2508_17859/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790584217.156
REQUEST_TIME	1790584217

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: