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In this work, we consider the fundamental problem of reachability analysis over imperative programs with real variables. The reachability property requires that a program can reach certain target states during its execution. Previous works…

Programming Languages · Computer Science 2020-07-29 Ali Asadi , Krishnendu Chatterjee , Hongfei Fu , Amir Kafshdar Goharshady , Mohammad Mahdavi

The workflow satisfiability problem is concerned with determining whether it is possible to find an allocation of authorized users to the steps in a workflow in such a way that all constraints are satisfied. The problem is NP-hard in…

Cryptography and Security · Computer Science 2012-10-16 J. Crampton , R. Crowston , G. Gutin , M. Jones , M. S. Ramanujan

The verification of concurrent programs under weak-memory models is a burgeoning effort, owing to the increasing adoption of weak memory in concurrent software and hardware. Release/Acquire has become the standard model for high-performance…

Programming Languages · Computer Science 2026-04-16 Giovanna Kobus Conrado , Andreas Pavlogiannis

Remote Direct Memory Access (RDMA) is a technology that allows direct memory access from the memory of one computer into that of another without involving either one's operating system. This enables high-throughput, low-latency networking,…

Logic in Computer Science · Computer Science 2026-05-12 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Govind Rajanbabu , Stephan Spengler

We prove that certain formulations of program synthesis and reachability are equivalent. Specifically, our constructive proof shows the reductions between the template-based synthesis problem, which generates a program in a pre-specified…

Programming Languages · Computer Science 2019-03-29 ThanhVu Nguyen , Westley Weimer , Deepak Kapur , Stephanie Forrest

We consider the problem of determining, given x, y in Z^k and a finite set F of affine functions on Z^k, whether y is reachable from x by applying the functions F. We also consider the analogous problem over N^k. These problems are known to…

Formal Languages and Automata Theory · Computer Science 2013-04-10 Daniel Fremont

When the inverse of an algorithm is well-defined -- that is, when its output can be deterministically transformed into the input producing it -- we say that the algorithm is invertible. While one can describe an invertible algorithm using a…

Programming Languages · Computer Science 2022-12-07 Joachim Tilsted Kristensen , Robin Kaarsgaard , Michael Kirkedal Thomsen

In this paper, we study the program-point reachability problem of concurrent pushdown systems that communicate via unbounded and unordered message buffers. Our goal is to relax the common restriction that messages can only be retrieved by a…

Logic in Computer Science · Computer Science 2014-01-27 Jonathan Kochems , C-H Luke Ong

We study the satisfiability of string constraints where context-free membership constraints may be imposed on variables. Additionally a variable may be constrained to be a subword of a word obtained by shuffling variables and their…

Formal Languages and Automata Theory · Computer Science 2024-01-17 C Aiswarya , Soumodev Mal , Prakash Saivasan

We revisit a fundamental result in real-time verification, namely that the binary reachability relation between configurations of a given timed automaton is definable in linear arithmetic over the integers and reals. In this paper we give a…

Logic in Computer Science · Computer Science 2017-04-20 Karin Quaas , Mahsa Shirmohammadi , James Worrell

There exist several approaches to infer runtime or resource bounds for integer programs automatically. In this paper, we study the subclass of periodic rational solvable loops (prs-loops), where questions regarding the runtime and the size…

Logic in Computer Science · Computer Science 2025-08-13 Nils Lommen , Éléanore Meyer , Jürgen Giesl

In graph realization problems one is given a degree sequence and the task is to decide whether there is a graph whose vertex degrees match to the given sequence. This realization problem is known to be polynomial-time solvable when the…

Computational Complexity · Computer Science 2012-01-18 Sepp Hartung , André Nichterlein

We study the problem of completely automatically verifying uninterpreted programs---programs that work over arbitrary data models that provide an interpretation for the constants, functions and relations the program uses. The verification…

Programming Languages · Computer Science 2020-08-27 Umang Mathur , P. Madhusudan , Mahesh Viswanathan

We study the problem of grammar-constrained context-free language reachability in graphs, focusing on complexity and empirical performance. We present an algorithmic framework for evaluating reachability queries constrained by context-free…

Data Structures and Algorithms · Computer Science 2026-03-02 Faruk Alpay , Levent Sarioglu

We present an approach to parameterized reachability for communicating finite-state threads that formulates the analysis as a satisfiability problem. In addition to the unbounded number of threads, the main challenge for SAT/SMT-based…

Logic in Computer Science · Computer Science 2015-05-12 Peizun Liu , Thomas Wahl

The usual advantages put forward for including nullability declarations in the type systems of programming languages are that they improve program reliability or performance. But there is another, entirely different, reason for doing so. In…

Programming Languages · Computer Science 2011-08-25 William Harrison , Tim Walsh , Paul Biggar

A standard model that arises in several applications in sequential decision making is partially observable Markov decision processes (POMDPs) where a decision-making agent interacts with an uncertain environment. A basic objective in such…

Computational Complexity · Computer Science 2025-06-16 Ali Asadi , Krishnendu Chatterjee , Raimundo Saona , Ali Shafiee

We present a new method for inferring complexity properties for a class of programs in the form of flowcharts annotated with loop information. Specifically, our method can (soundly and completely) decide if computed values are polynomially…

Programming Languages · Computer Science 2016-07-11 Amir M. Ben-Amram , Aviad Pineles

In Racket, the LLVM IR, Rust, and other modern languages, programmers and static analyses can hint, with special annotations, that certain parts of a program are unreachable. Same as other assumptions about undefined behavior; the compiler…

Programming Languages · Computer Science 2024-07-09 Peter Zhong , Shu-Hung You , Simone Campanoni , Robert Bruce Findler , Matthew Flatt , Christos Dimoulas

Neural Networks (NNs) can provide major empirical performance improvements for robotic systems, but they also introduce challenges in formally analyzing those systems' safety properties. In particular, this work focuses on estimating the…

Systems and Control · Electrical Eng. & Systems 2021-05-26 Michael Everett , Golnaz Habibi , Jonathan P. How