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Education in the practical applications of logic and proving such as the formal specification and verification of computer programs is substantially hampered by the fact that most time and effort that is invested in proving is actually…

Logic in Computer Science · Computer Science 2018-03-06 Wolfgang Schreiner , Alexander Brunhuemer , Christoph Fürst

On the one hand, termination analysis of logic programs is now a fairly established research topic within the logic programming community. On the other hand, non-termination analysis seems to remain a much less attractive subject. If we…

Programming Languages · Computer Science 2009-01-10 Etienne Payet , Fred Mesnard

Algorithms for model checking and satisfiability of the modal $\mu$-calculus start by converting formulas to alternating parity tree automata. Thus, model checking is reduced to checking acceptance by tree automata and satisfiability to…

Logic in Computer Science · Computer Science 2022-08-24 Daniel Hausmann , Nir Piterman

Current approaches for formal verification of algorithms face important limitations. For specification, they cannot express algorithms naturally and concisely, especially for algorithms with states and flexible control flow. For…

Programming Languages · Computer Science 2025-05-01 Chengxi Yang , Shushu Wu , Qinxiang Cao

This paper studies the complexity of classical modal logics and of their extension with fixed-point operators, using translations to transfer results across logics. In particular, we show several complexity results for multi-agent logics…

Logic in Computer Science · Computer Science 2024-08-14 Luca Aceto , Antonis Achilleos , Elli Anastasiadi , Adrian Francalanza , Anna Ingólfsdóttir

Hyperproperties extend trace properties to express properties of sets of traces, and they are increasingly popular in specifying various security and performance-related properties in domains such as cyber-physical systems, smart grids, and…

Logic in Computer Science · Computer Science 2023-08-11 Ernest Bonnah , Luan Viet Nguyen , Khaza Anuarul Hoque

Foundational verification considers the functional correctness of programming languages with formalized semantics and uses proof assistants (e.g., Coq, Isabelle) to certify proofs. The need for verifying complex programs compels it to…

Programming Languages · Computer Science 2025-07-08 Qiyuan Xu , David Sanan , Zhe Hou , Xiaokun Luan , Conrad Watt , Yang Liu

Legal properties involve reasoning about data values and time. Metric first-order temporal logic (MFOTL) provides a rich formalism for specifying legal properties. While MFOTL has been successfully used for verifying legal properties over…

Software Engineering · Computer Science 2023-05-30 Nick Feng , Lina Marsso , Mehrdad Sabetzadeh , Marsha Chechik

Concolic testing is a popular dynamic validation technique that can be used for both model checking and automatic test case generation. We have recently introduced concolic testing in the context of logic programming. In contrast to…

Logic in Computer Science · Computer Science 2016-08-11 Fred Mesnard , Etienne Payet , German Vidal

In this paper we promote introducing software verification and control flow graph similarity measurement in automated evaluation of students' programs. We present a new grading framework that merges results obtained by combination of these…

Artificial Intelligence · Computer Science 2012-07-02 Milena Vujosevic-Janicic , Mladen Nikolic , Dusan Tosic , Viktor Kuncak

We propose TOPL automata as a new method for runtime verification of systems with unbounded resource generation. Paradigmatic such systems are object-oriented programs which can dynamically generate an unbounded number of fresh object…

Formal Languages and Automata Theory · Computer Science 2015-01-21 Radu Grigore , Dino Distefano , Rasmus Lerchedahl Petersen , Nikos Tzevelekos

We present an efficient algorithm for checking language equivalence of states in top-down deterministic finite tree automata (DFTAs). Unlike string automata, tree automata operate over hierarchical structures, posing unique challenges for…

Formal Languages and Automata Theory · Computer Science 2025-04-08 Zhibo Deng , Vladimir A. Zakharov

Metric Interval Temporal Logic (MITL) is a well studied real-time, temporal logic that has decidable satisfiability and model checking problems. The decision procedures for MITL rely on the automata theoretic approach, where logic formulas…

Logic in Computer Science · Computer Science 2019-10-11 Nima Roohi , Mahesh Viswanathan

This paper describes a general framework for automatic termination analysis of logic programs, where we understand by ``termination'' the finitenes s of the LD-tree constructed for the program and a given query. A general property of…

Programming Languages · Computer Science 2020-06-11 Nachum Dershowitz , Naomi Lindenstrauss , Yehoshua Sagiv , Alexander Serebrenik

The paper combines research approaches that traditionally have been disjoint: 1) model checking as used in formal verification of programs, and 2) auto-tuning as often used in high-performance computing. Auto-tuning frameworks optimize…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-17 Natalia Garanina , Sergey Staroletov , Sergei Gorlatch

We advocate a declarative approach to proving properties of logic programs. Total correctness can be separated into correctness, completeness and clean termination; the latter includes non-floundering. Only clean termination depends on the…

Logic in Computer Science · Computer Science 2011-10-25 W. Drabent , M. Milkowska

We present Kofola, an efficient tool for complementation and inclusion checking of B\"uchi automata, two central tasks in automata-theoretic verification with applications in model checking, monitoring, and theorem proving. Kofola…

Logic in Computer Science · Computer Science 2026-05-18 Ondrej Alexaj , Vojtěch Havlena , Lukáš Holík , Ondřej Lengál , Yong Li , Nicolas Mazzocchi

Being able to soundly estimate roundoff errors of finite-precision computations is important for many applications in embedded systems and scientific computing. Due to the discrepancy between continuous reals and discrete finite-precision…

Programming Languages · Computer Science 2018-08-24 Heiko Becker , Nikita Zyuzin , Raphael Monat , Eva Darulova , Magnus O. Myreen , Anthony Fox

Static verification techniques leverage Boolean formula satisfiability solvers such as SAT and SMT solvers that operate on conjunctive normal form and first order logic formulae, respectively, to validate programs. They force bounds on…

Software Engineering · Computer Science 2014-09-25 Fadi A. Zaraket , Mohamad Noureddine

Formal verification offers a path to provably correct software, but writing verified code remains expensive enough that the technique is rarely used in production. Recent large language models can accelerate this work, and recent benchmarks…

Logic in Computer Science · Computer Science 2026-05-28 Leo Yao