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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

The central open question in Descriptive Complexity is whether there is a logic that characterizes deterministic polynomial time (PTIME) on relational structures. Towards this goal, we define a logic that is obtained from first-order logic…

Logic in Computer Science · Computer Science 2021-11-16 Eugenia Ternovska

Language-based information flow security aims to decide whether an action-observable program can unintentionally leak confidential information if it has the authority to access confidential data. Recent concerns about declassification…

Cryptography and Security · Computer Science 2016-11-18 Cong Sun , Liyong Tang , Zhong Chen

Hofmann (1999) introduced the functional programming language LFPL to characterize the functions computable in polynomial time using an affine type system. LFPL enables a natural programming style, including nested recursion, and has…

Programming Languages · Computer Science 2026-05-19 Nathaniel Glover , Jan Hoffmann

In this paper we investigate the complexity-theoretical aspects of cyclic and non-wellfounded proofs in the context of parsimonious logic, a variant of linear logic where the exponential modality ! is interpreted as a constructor for…

Logic in Computer Science · Computer Science 2025-09-12 Matteo Acclavio , Gianluca Curzi , Giulio Guerrieri

Logics with team semantics provide alternative means for logical characterization of complexity classes. Both dependence and independence logic are known to capture non-deterministic polynomial time, and the frontiers of tractability in…

Logic in Computer Science · Computer Science 2019-03-27 Miika Hannula , Lauri Hella

Language-based information flow methods offer a principled way to enforce strong security properties, but enforcing noninterference is too inflexible for realistic applications. Security-typed languages have therefore introduced…

Programming Languages · Computer Science 2015-07-01 Aslan Askarov , Andrew Myers

Deep learning in audio signal processing, such as human voice audio signal classification, is a rich application area of machine learning. Legitimate use cases include voice authentication, gunfire detection, and emotion recognition. While…

Cryptography and Security · Computer Science 2021-02-01 Kyle Bittner , Martine De Cock , Rafael Dowsley

We show that time complexity analysis of higher-order functional programs can be effectively reduced to an arguably simpler (although computationally equivalent) verification problem, namely checking first-order inequalities for validity.…

Logic in Computer Science · Computer Science 2012-10-26 Ugo Dal Lago , Barbara Petit

We present a type theory combining both linearity and dependency by stratifying typing rules into a level for logics and a level for programs. The distinction between logics and programs decouples their semantics, allowing the type system…

Programming Languages · Computer Science 2025-10-08 Qiancheng Fu , Hongwei Xi

Marginalization -- summing a function over all assignments to a subset of its inputs -- is a fundamental computational problem with applications from probabilistic inference to formal verification. Despite its computational hardness in…

Computational Complexity · Computer Science 2025-07-16 Oliver Broadrick , Sanyam Agarwal , Guy Van den Broeck , Markus Bläser

We classify programming languages according to evaluation order: each language fixes one evaluation order as the default, making it transparent to program in that evaluation order, and troublesome to program in the other. This paper…

Programming Languages · Computer Science 2020-08-25 Jana Dunfield

The defunctionalization translation that eliminates higher-order functions from programs forms a key part of many compilers. However, defunctionalization for dependently-typed languages has not been formally studied. We present the first…

Programming Languages · Computer Science 2023-04-11 Yulong Huang , Jeremy Yallop

Discrete probabilistic programs (DPPs) provide a highly expressive formalism for compactly defining arbitrary finite probabilistic models. This expressivity comes at a price: DPP inference is PSPACE-hard. In this work, we show that DPP…

Data Structures and Algorithms · Computer Science 2026-04-29 Benedikt Peterseim , Milan Lopuhaä-Zwakenberg

Type-level programming is an increasingly popular way to obtain additional type safety. Unfortunately, it remains a second-class citizen in the majority of industrially-used programming languages. We propose a new dependently-typed system…

Programming Languages · Computer Science 2020-11-17 Georg Stefan Schmid , Olivier Blanvillain , Jad Hamza , Viktor Kunčak

Negotiations are a formalism for describing multiparty distributed cooperation. Alternatively, they can be seen as a model of concurrency with synchronized choice as communication primitive. Well-designed negotiations must be sound, meaning…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Javier Esparza , Denis Kuperberg , Anca Muscholl , Igor Walukiewicz

Machine learning is increasingly becoming a powerful tool to make decisions in a wide variety of applications, such as medical diagnosis and autonomous driving. Privacy concerns related to the training data and unfair behaviors of some…

Cryptography and Security · Computer Science 2020-03-16 Jiahao Ding , Xinyue Zhang , Xiaohuan Li , Junyi Wang , Rong Yu , Miao Pan

Constant-time programming is a countermeasure to prevent cache based attacks where programs should not perform memory accesses that depend on secrets. In some cases this policy can be safely relaxed if one can prove that the program does…

Cryptography and Security · Computer Science 2023-06-22 Cristian Ene , Laurent Mounier , Marie-Laure Potet

We exhibit a sound and complete implicit-complexity formalism for functions feasibly computable by structural recursions over inductively defined data structures. Feasibly computable here means that the structural-recursive definition runs…

Computational Complexity · Computer Science 2022-05-23 Norman Danner , James S. Royer

We propose to consider non confluence with respect to implicit complexity. We come back to some well known classes of first-order functional program, for which we have a characterization of their intentional properties, namely the class of…

Computational Complexity · Computer Science 2010-05-20 Guillaume Bonfante