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The IC3 algorithm represents the state-of-the-art (SOTA) hardware model checking technique, owing to its robust performance and scalability. A significant body of research has focused on enhancing the solving efficiency of the IC3…

Logic in Computer Science · Computer Science 2026-04-24 Xiaofeng Zhou , Guangyu Hu , Hongce Zhang , Wei Zhang

We present a novel approach for generalizing the IC3 algorithm for invariant checking from finite-state to infinite-state transition systems, expressed over some background theories. The procedure is based on a tight integration of IC3 with…

Logic in Computer Science · Computer Science 2013-10-28 Alessandro Cimatti , Alberto Griggio , Sergio Mover , Stefano Tonetta

Modeling time related aspects is important in many applications of verification methods. For precise results, it is necessary to interpret time as a dense domain, e.g. using timed automata as a formalism, even though the system's resulting…

Logic in Computer Science · Computer Science 2012-04-26 Roland Kindermann , Tommi Junttila , Ilkka Niemelä

The IC3 algorithm, also known as PDR, is a SAT-based model checking algorithm that has significantly influenced the field in recent years due to its efficiency, scalability, and completeness. It utilizes SAT solvers to solve a series of SAT…

Logic in Computer Science · Computer Science 2025-05-22 Yuheng Su , Qiusong Yang , Yiwei Ci , Yingcheng Li , Tianjun Bu , Ziyu Huang

In this paper, we present rIC3, an efficient bit-level hardware model checker primarily based on the IC3 algorithm. It boasts a highly efficient implementation and integrates several recently proposed optimizations, such as the specifically…

Formal Languages and Automata Theory · Computer Science 2025-05-22 Yuheng Su , Qiusong Yang , Yiwei Ci , Tianjun Bu , Ziyu Huang

Model counting ($\#\text{SAT}$) is a fundamental yet $\#\text{P}$-complete problem central to probabilistic reasoning. In this work, we address \textit{incremental model counting}, where sequences of structurally similar formulas must be…

Logic in Computer Science · Computer Science 2026-05-04 Uriya Bartal , Dror Fried , Jean-Marie Lagniez

We describe several additions to the ENIGMA system that guides clause selection in the E automated theorem prover. First, we significantly speed up its neural guidance by adding server-based GPU evaluation. The second addition is motivated…

Artificial Intelligence · Computer Science 2021-07-16 Zarathustra Goertzel , Karel Chvalovský , Jan Jakubův , Miroslav Olšák , Josef Urban

A fixed-confidence, finite-sample problem of active hypothesis testing arises in many safety-critical applications. Situated in the context of sequential hypothesis testing, this paper studies the effect of hypothesis elimination on the…

Machine Learning · Computer Science 2026-05-05 Ziyuan Lin , Hoang Ngoc Nguyen , Jie Xu , Ivan Ruchkin

The IC3 algorithm, also known as PDR, has made a significant impact in the field of safety model checking in recent years due to its high efficiency, scalability, and completeness. The most crucial component of IC3 is inductive…

Software Engineering · Computer Science 2024-11-21 Yuheng Su , Qiusong Yang , Yiwei Ci

How best to incentivise prompt disclosure? We study this question in a general model in which a technological breakthrough occurs at an uncertain time and is privately observed by an agent, and a principal must incentivise disclosure via…

Theoretical Economics · Economics 2025-12-09 Gregorio Curello , Ludvig Sinander

The article "Interpolation and SAT-Based Model Checking" (McMillan, 2003) describes a formal-verification algorithm, which was originally devised to verify safety properties of finite-state transition systems. It derives interpolants from…

Software Engineering · Computer Science 2024-03-14 Dirk Beyer , Nian-Ze Lee , Philipp Wendler

State-of-the-art model-checking algorithms like IC3/PDR are based on uni-directional modular SAT solving for finding and/or blocking counterexamples. Modular SAT solvers divide a SAT-query into multiple sub-queries, each solved by a…

Logic in Computer Science · Computer Science 2023-07-03 Hari Govind V K , Isabel Garcia-Contreras , Sharon Shoham , Arie Gurfinkel

We propose a local model-checking proof system for a fragment of CTL. The rules of the proof system are motivated by the well-known fixed-point characterisation of CTL based on unfolding of the temporal operators. To guarantee termination…

Logic in Computer Science · Computer Science 2023-09-12 Georg Friedrich Schuppe , Dilian Gurov

This note considers checking satisfiability of sets of propositional clauses (SAT instances). It shows that "unipolar sets" of clauses (containing no positive or no negative clauses) provide an "early sign" of satisfiability of SAT…

Logic in Computer Science · Computer Science 2016-12-16 Eliezer L. Lozinskii

Model checking is an automatic formal verification technique that is widely used in hardware verification. The state-of-the-art complete model-checking techniques, based on IC3/PDR and its general variant CAR, are based on computing…

Logic in Computer Science · Computer Science 2024-11-04 Yibo Dong , Yu Chen , Jianwen Li , Geguang Pu , Ofer Strichman

In many legal processes being able to action on the concrete implication of a legal question can be valuable to automating human review or signalling certain conditions (e.g., alerts around automatic renewal). To support such tasks, we…

Computer Vision and Pattern Recognition · Computer Science 2023-10-17 Adam Roegiest , Radha Chitta , Jonathan Donnelly , Maya Lash , Alexandra Vtyurina , François Longtin

SMT-based model checkers, especially IC3-style ones, are currently the most effective techniques for verification of infinite state systems. They infer global inductive invariants via local reasoning about a single step of the transition…

Logic in Computer Science · Computer Science 2020-05-28 Hari Govind V K , YuTing Chen , Sharon Shoham , Arie Gurfinkel

State-of-the-art attacks against cyclic logic obfuscation use satisfiability solvers that are equipped with a set of cycle avoidance clauses. These cycle avoidance clauses are generated in a pre-processing step and define various key…

Cryptography and Security · Computer Science 2020-01-27 Shervin Roshanisefat , Hadi Mardani Kamali , Houman Homayoun , Avesta Sasan

Symbolic model checkers can construct proofs of properties over very complex models. However, the results reported by the tool when a proof succeeds do not generally provide much insight to the user. It is often useful for users to have…

Software Engineering · Computer Science 2016-08-01 Elaheh Ghassabani , Andrew Gacek , Michael W. Whalen

Automated synthesis of reactive systems from specifications has been a topic of research for decades. Recently, a variety of approaches have been proposed to extend synthesis of reactive systems from proposi- tional specifications towards…

Software Engineering · Computer Science 2018-03-23 Andreas Katis , Grigory Fedyukovich , Huajun Guo , Andrew Gacek , John Backes , Arie Gurfinkel , Michael W. Whalen
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