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Property Directed Reachability (\textsc{Pdr}), also known as IC3, is a state-of-the-art model checking algorithm widely used for verifying safety properties. While \textsc{Pdr} is effective in finding inductive invariants, its underlying…

Logic in Computer Science · Computer Science 2025-05-27 Andrew Luka , Yakir Vizel

Property-Directed Reachability (PDR/IC3) is a standard workhorse for hardware safety verification, but most implementations are tuned primarily for time-to-answer and treat the produced invariant or counterexample as a secondary byproduct.…

Logic in Computer Science · Computer Science 2026-05-19 Arman Ferdowsi , Laura Kovacs

Recent years have seen significant advances in using formal verification to check hardware security properties. Of particular practical interest are checking confidentiality and integrity of secrets, by checking that there is no information…

Cryptography and Security · Computer Science 2026-01-30 Qinhan Tan , Akash Gaonkar , Yu-Wei Fan , Aarti Gupta , Sharad Malik

Generalized property-directed reachability (GPDR) belongs to the family of the model-checking techniques called IC3/PDR. It has been successfully applied to software verification; for example, it is the core of Spacer, a state-of-the-art…

Programming Languages · Computer Science 2019-11-28 Kohei Suenaga , Takuya Ishizawa

Property Directed Reachability (PDR) is a widely used technique for formal verification of hardware and software systems. This paper presents an incremental version of PDR (IPDR), which enables the automatic verification of system instances…

Symbolic Computation · Computer Science 2023-08-24 Max Blankestijn , Alfons Laarman

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

Property-directed reachability (PDR) is a SAT/SMT-based reachability algorithm that incrementally constructs inductive invariants. After it was successfully applied to hardware model checking, several adaptations to software model checking…

Software Engineering · Computer Science 2020-02-25 Dirk Beyer , Matthias Dangl

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

Formal verification techniques such as model checking, are becoming popular in hardware design. SAT-based model checking techniques such as IC3/PDR, have gained a significant success in hardware industry. In this paper, we present a new…

Logic in Computer Science · Computer Science 2017-12-22 Jianwen Li , Shufang Zhu , Yueling Zhang , Geguang Pu , Moshe Vardi

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

IC3 has been a leap forward in symbolic model checking. This paper proposes PrIC3 (pronounced pricy-three), a conservative extension of IC3 to symbolic model checking of MDPs. Our main focus is to develop the theory underlying PrIC3.…

Logic in Computer Science · Computer Science 2020-05-19 Kevin Batz , Sebastian Junges , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja , Philipp Schröer

IC3 is a famous bit-level framework for safety verification. By incorporating datapath abstraction, a notable enhancement in the efficiency of hardware verification can be achieved. However, datapath abstraction entails a coarse level of…

Logic in Computer Science · Computer Science 2023-09-27 Hongyu Fan , Fei He

We present a fully automatic algorithm for verifying safety properties of parameterized software systems. This algorithm is based on both IC3 and Lazy Annotation. We implemented it in Cubicle, a model checker for verifying safety properties…

Logic in Computer Science · Computer Science 2018-11-21 Sylvain Conchon , Amit Goel , Sava Krstic , Rupak Majumdar , Mattias Roux

This paper shows that a variety of software model-checking algorithms can be seen as proof-search strategies for a non-standard proof system, known as a cyclic proof system. Our use of the cyclic proof system as a logical foundation of…

Programming Languages · Computer Science 2021-11-11 Takeshi Tsukada , Hiroshi Unno

As modern hardware designs grow in complexity and size, ensuring security across the confidentiality, integrity, and availability (CIA) triad becomes increasingly challenging. Information flow tracking (IFT) is a widely-used approach to…

Cryptography and Security · Computer Science 2025-04-10 Nowfel Mashnoor , Mohammad Akyash , Hadi Kamali , Kimia Azar

Property Directed Reachability (PDR) is a powerful algorithm for formal verification of hardware and software systems, but its performance is highly sensitive to parameter configurations. Manual parameter tuning is time-consuming and…

Hardware Architecture · Computer Science 2026-04-01 Guangyu Hu , Chen Chen , Xiaofeng Zhou , Jiaxi Zhang , Wei Zhang , Hongce Zhang

Proof-carrying hardware (PCH) is an approach to achieving safety of dynamically reconfigurable hardware, transferring the idea of proof-carrying code to the hardware domain. Current PCH approaches are, however, either limited to…

Logic in Computer Science · Computer Science 2014-10-17 Tobias Isenberg , Heike Wehrheim

Output reference tracking can be improved by iteratively learning from past data to inform the design of feedforward control inputs for subsequent tracking attempts. This process is called iterative learning control (ILC). This article…

Systems and Control · Electrical Eng. & Systems 2021-08-18 Isaac A Spiegel , Nard Strijbosch , Tom Oomen , Kira Barton

Property checking of RTL designs is a central task in formal verification. Among available engines, IC3/PDR is a widely used backbone whose performance critically depends on inductive generalization, the step that generalizes a concrete…

Hardware Architecture · Computer Science 2026-03-02 Mingkai Miao , Guangyu Hu , Wei Zhang , Hongce Zhang

Passwords still remain a dominant authentication method, yet their security is routinely subverted by predictable user choices and large-scale credential leaks. Automated password guessing is a key tool for stress-testing password policies…

Cryptography and Security · Computer Science 2026-04-15 Vladimir A. Mazin , Mikhail A. Zorin , Dmitrii S. Korzh , Elvir Z. Karimov , Dmitrii A. Bolokhov , Oleg Y. Rogov
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