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In this note, we provide complexity characterizations of model checking multi-pushdown systems. Multi-pushdown systems model recursive concurrent programs in which any sequential process has a finite control. We consider three standard…

Logic in Computer Science · Computer Science 2012-12-10 Kshitij Bansal , Stéphane Demri

Nondeterminism in scheduling is the cardinal reason for difficulty in proving correctness of concurrent programs. A powerful proof strategy was recently proposed [6] to show the correctness of such programs. The approach captured data-flow…

Programming Languages · Computer Science 2016-04-29 Chinmay Narayan , Subodh Sharma , Shibashis Guha , S. Arun-Kumar

We present a new approach to termination analysis of numerical computations in logic programs. Traditional approaches fail to analyse them due to non well-foundedness of the integers. We present a technique that allows to overcome these…

Programming Languages · Computer Science 2007-05-23 Alexander Serebrenik , Danny De Schreye

Multi-threaded programs have many applications which are widely used such as operating systems. Analyzing multi-threaded programs differs from sequential ones; the main feature is that many threads execute at the same time. The effect of…

Software Engineering · Computer Science 2011-11-04 Mohamed A. El-Zawawy , Hamada A. Nayel

This paper shows that it is possible to reason about the safety and termination of programs handling potentially cyclic, singly-linked lists using propositional reasoning even when the safety invariants and termination arguments depend on…

Logic in Computer Science · Computer Science 2014-10-21 Cristina David , Daniel Kroening , Matt Lewis

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

In this paper we study the complexity of the problems: given a loop, described by linear constraints over a finite set of variables, is there a linear or lexicographical-linear ranking function for this loop? While existence of such…

Programming Languages · Computer Science 2025-09-30 Amir M. Ben-Amram , Samir Genaim

Motivated by applications in automated verification of higher-order functional programs, we develop a notion of constrained Horn clauses in higher-order logic and a decision problem concerning their satisfiability. We show that, although…

Programming Languages · Computer Science 2017-08-02 Toby Cathcart Burn , C. -H. Luke Ong , Steven J. Ramsay

We present a heuristic framework for attacking the undecidable termination problem of logic programs, as an alternative to current termination/non-termination proof approaches. We introduce an idea of termination prediction, which predicts…

Programming Languages · Computer Science 2009-05-14 Yi-Dong Shen , Danny De Schreye , Dean Voets

We present a new method for the constraint-based synthesis of termination arguments for linear loop programs based on linear ranking templates. Linear ranking templates are parameterized, well-founded relations such that an assignment to…

Logic in Computer Science · Computer Science 2019-03-14 Jan Leike , Matthias Heizmann

Vector addition systems are an important model in theoretical computer science and have been used for the analysis of systems in a variety of areas. Termination is a crucial property of vector addition systems and has received considerable…

Logic in Computer Science · Computer Science 2017-10-31 Florian Zuleger

Closed-loop control of turbulent flows is a challenging problem with important practical and fundamental implications. We perform closed-loop control of forced, turbulent jets based on a wave-cancellation strategy. The study is motivated by…

This paper presents a software-based technique to recover control-flow errors in multithreaded programs. Control-flow error recovery is achieved through inserting additional instructions into multithreaded program at compile time regarding…

Programming Languages · Computer Science 2016-07-27 Navid Khoshavi , Mohammad Maghsoudloo , Hamid R. Zarandi

Intuitively, if we can prove that a program terminates, we expect some conclusion regarding its complexity. But the passage from termination proofs to complexity bounds is not always clear. In this work we consider Monotonicity Constraint…

Logic in Computer Science · Computer Science 2014-05-01 Amir M. Ben-Amram , Michael Vainer

This paper considers an optimal impulse control problem of dynamical systems generated by a flow. The performance criteria are total costs over the infinite time horizon. Apart from the main performance to be minimized, there are multiple…

Optimization and Control · Mathematics 2020-10-27 Alexey Piunovskiy , Yi Zhang

We present a new method for the constraint-based synthesis of termination arguments for linear loop programs based on linear ranking templates. Linear ranking templates are parametrized, well-founded relations such that an assignment to the…

Logic in Computer Science · Computer Science 2014-01-22 Jan Leike , Matthias Heizmann

Techniques for runtime verification often utilise specification languages that are (i) reasonably expressive, and (ii) relatively abstract (i.e. they operate on a level of abstraction that separates them from the system being monitored).…

Logic in Computer Science · Computer Science 2018-06-11 Joshua Heneage Dawes , Giles Reger

This paper is devoted to study thermodynamic formalism for suspension flows defined over countable alphabets. We are mostly interested in the regularity properties of the pressure function. We establish conditions for the pressure function…

Dynamical Systems · Mathematics 2015-06-04 Godofredo Iommi , Thomas Jordan

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

We observe that the various formulations of the operational semantics of Constraint Handling Rules proposed over the years fall into a spectrum ranging from the analytical to the pragmatic. While existing analytical formulations facilitate…

Logic in Computer Science · Computer Science 2010-07-23 Hariolf Betz , Frank Raiser , Thom Frühwirth