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Signal Temporal Logic (STL) is a convenient formalism to express bounded horizon properties of autonomous critical systems. STL extends LTL to real-valued signals and associates a non-singleton bound interval to each temporal operators. In…

Logic in Computer Science · Computer Science 2023-11-17 Céline Bellanger , Pierre-Loïc Garoche , Matthieu Martel , Célia Picard

Verification of temporal logic properties plays a crucial role in proving the desired behaviors of hybrid systems. In this paper, we propose an interval method for verifying the properties described by a bounded linear temporal logic. We…

Logic in Computer Science · Computer Science 2015-07-15 Daisuke Ishii , Naoki Yonezaki , Alexandre Goldsztejn

Verification of large and complicated concurrent programs is an important issue in the software world. Stateless model checking is an appropriate method for systematically and automatically testing of large programs, which has proved its…

Programming Languages · Computer Science 2016-03-14 Elaheh Ghassabani , Mohammad Abdollahi Azgomi

Semantic typing has become a powerful tool for program verification, applying the technique of logical relations as not only a proof method, but also a device for prescribing program behavior. In recent work, Yao et al. scaled semantic…

Programming Languages · Computer Science 2025-11-26 Tesla Zhang , Asher Kornfeld , Rui Li , Sonya Simkin , Yue Yao , Stephanie Balzer

Temporal logics are powerful tools that are widely used for the synthesis and verification of reactive systems. The recent progress on Large Language Models (LLMs) has the potential to make the process of writing such specifications more…

Machine Learning · Computer Science 2024-06-12 William Murphy , Nikolaus Holzer , Nathan Koenig , Leyi Cui , Raven Rothkopf , Feitong Qiao , Mark Santolucito

Hyperproperties are properties of computational systems that require more than one trace to evaluate, e.g., many information-flow security and concurrency requirements. Where a trace property defines a set of traces, a hyperproperty defines…

Logic in Computer Science · Computer Science 2021-04-30 Jan Baumeister , Norine Coenen , Borzoo Bonakdarpour , Bernd Finkbeiner , Cesar Sanchez

The molecular computing has been successfully employed to solve more and more complex computation problems. However, as an important complex problem, the model checking are still far from fully resolved under the circumstance of molecular…

Logic in Computer Science · Computer Science 2017-02-21 Weijun Zhu

Computer-Controlled Systems (CCS) are a subclass of hybrid systems where the periodic relation of control components to time is paramount. Since they additionally are at the heart of many safety-critical devices, it is of primary importance…

Logic in Computer Science · Computer Science 2019-07-09 Simon Lunel , Stefan Mitsch , Benoit Boyer , Jean-Pierre Talpin

Two new logics for verification of hyperproperties are proposed. Hyperproperties characterize security policies, such as noninterference, as a property of sets of computation paths. Standard temporal logics such as LTL, CTL, and CTL* can…

Logic in Computer Science · Computer Science 2014-01-22 Michael R. Clarkson , Bernd Finkbeiner , Masoud Koleini , Kristopher K. Micinski , Markus N. Rabe , César Sánchez

LTL3 is a multi-valued variant of Linear-time Temporal Logic for runtime verification applications. The semantic descriptions of LTL3 in previous work are given only in terms of the relationship to conventional LTL. Our approach, by…

Logic in Computer Science · Computer Science 2024-11-25 Rayhana Amjad , Rob van Glabbeek , Liam O'Connor

Signal Temporal Logic (STL) is a widely recognized formal specification language to express rigorous temporal requirements on mixed analog signals produced by cyber-physical systems (CPS). A relevant problem in CPS design is how to…

Logic in Computer Science · Computer Science 2025-07-30 Beatrice Melani , Ezio Bartocci , Michele Chiari

Most separation logics hide container-internal pointers for modularity. This makes it difficult to specify container APIs that temporarily expose those pointers to the outside, and to verify programs that use these APIs. We present logical…

Programming Languages · Computer Science 2025-12-08 Yawen Guan , Clément Pit-Claudel

Modern functional-logic programming languages like Toy or Curry feature non-strict non-deterministic functions that behave under call-time choice semantics. A standard formulation for this semantics is the CRWL logic, that specifies a proof…

Logic in Computer Science · Computer Science 2009-08-05 Francisco López Fraguas , Stephan Merz , Juan Rodríguez Hortalá

Temporal logics for hyperproperties have recently emerged as an expressive specification technique for relational properties of reactive systems. While the model checking problem for such logics has been widely studied, there is a scarcity…

Programming Languages · Computer Science 2025-01-15 Arthur Correnson , Bernd Finkbeiner

Runtime verification enables checking temporal logic specifications over individual execution traces and offers a scalable alternative to exhaustive formal verification. In practice, systems must satisfy dozens to hundreds of temporal…

Logic in Computer Science · Computer Science 2026-05-14 Arınç Demir , Dogan Ulus

While there is a long tradition of reasoning about (non)termination in program analysis, specialized logics are typically needed to give different termination criteria. This includes partial correctness, where termination is not guaranteed,…

Logic in Computer Science · Computer Science 2025-06-24 James Li , Noam Zilberstein , Alexandra Silva

Matching logic is a formalism for specifying, and reasoning about, mathematical structures, using patterns and pattern matching. Growing in popularity, it has been used to define many logical systems such as separation logic with recursive…

Logic in Computer Science · Computer Science 2022-09-22 Péter Bereczky , Xiaohong Chen , Dániel Horpácsi , Lucas Peña , Jan Tušil

We develop a timeout based extension of propositional linear temporal logic (which we call TLTL) to specify timing properties of timeout based models of real time systems. TLTL formulas explicitly refer to a running global clock together…

Logic in Computer Science · Computer Science 2010-12-20 Janardan Misra , Suman Roy

Expressing program correctness often requires relating program data throughout (different branches of) an execution. Such properties can be represented using CTL+FO, a logic that allows mixing temporal and first-order quantification.…

Logic in Computer Science · Computer Science 2014-06-24 Tewodros A. Beyene , Marc Brockschmidt , Andrey Rybalchenko

Safety verification for autonomous vehicles (AVs) and ground robots is crucial for ensuring reliable operation given their uncertain environments. Formal language tools provide a robust and sound method to verify safety rules for such…

Robotics · Computer Science 2025-01-24 Aditya Parameshwaran , Yue Wang