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This work introduces a concept of explanations with respect to the violation of safe behaviours within software defined networks (SDNs) expressible in NetKAT. The latter is a network programming language based on a well-studied mathematical…

Formal Languages and Automata Theory · Computer Science 2021-02-25 Georgiana Caltais , Hunkar Can Tunc

We introduce a formal language for specifying dynamic updates for Software Defined Networks. Our language builds upon Network Kleene Algebra with Tests (NetKAT) and adds constructs for synchronisations and multi-packet behaviour to capture…

Networking and Internet Architecture · Computer Science 2021-05-25 Georgiana Caltais , Hossein Hojjat , Mohammad Mousavi , Hunkar Can Tunc

Kleene algebras with tests (KATs) offer sound, complete, and decidable equational reasoning about regularly structured programs. Interest in KATs has increased greatly since NetKAT demonstrated how well extensions of KATs with…

Programming Languages · Computer Science 2022-04-05 Michael Greenberg , Ryan Beckett , Eric Campbell

Guarded Kleene Algebra with Tests (GKAT) is an efficient fragment of KAT, as it allows for almost linear decidability of equivalence. In this paper, we study the (co)algebraic properties of GKAT. Our initial focus is on the fragment that…

Logic in Computer Science · Computer Science 2023-02-03 Todd Schmid , Tobias Kappé , Dexter Kozen , Alexandra Silva

Programmability and verifiability lie at the heart of the software-defined networking paradigm. While OpenFlow and its match-action concept provide primitive operations to manipulate hardware configurations, over the last years, several…

Networking and Internet Architecture · Computer Science 2016-12-01 Kim G. Larsen , Stefan Schmid , Bingtian Xue

Kleene algebra with tests (KAT) is a foundational equational framework for reasoning about programs, which has found applications in program transformations, networking and compiler optimizations, among many other areas. In his seminal…

Programming Languages · Computer Science 2022-08-08 Cheng Zhang , Arthur Azevedo de Amorim , Marco Gaboardi

We introduce weighted NetKAT, a domain-specific language for modeling and verifying quantitative network properties. The language is parametric on a semiring, enabling the treatment of a wide range of quantities in a uniform way. We provide…

Programming Languages · Computer Science 2026-04-16 Emmanuel Suárez Acevedo , Tiago Ferreira , Kevin Batz , Oliver Bøving , Nate Foster , Alexandra Silva

In the literature on Kleene algebra, a number of variants have been proposed which impose additional structure specified by a theory, such as Kleene algebra with tests (KAT) and the recent Kleene algebra with observations (KAO), or make…

Logic in Computer Science · Computer Science 2024-08-07 Damien Pous , Jurriaan Rot , Jana Wagemaker

Guarded Kleene Algebra with Tests (GKAT) is a fragment of Kleene Algebra with Tests (KAT) that was recently introduced to reason efficiently about imperative programs. In contrast to KAT, GKAT does not have an algebraic axiomatization, but…

Logic in Computer Science · Computer Science 2024-10-02 Tobias Kappé , Todd Schmid , Alexandra Silva

Guarded Kleene Algebra with Tests (GKAT) is a variation on Kleene Algebra with Tests (KAT) that arises by restricting the union ($+$) and iteration ($*$) operations from KAT to predicate-guarded versions. We develop the (co)algebraic theory…

Logic in Computer Science · Computer Science 2023-02-03 Steffen Smolka , Nate Foster , Justin Hsu , Tobias Kappé , Dexter Kozen , Alexandra Silva

Relational verification encompasses information flow security, regression verification, translation validation for compilers, and more. Effective alignment of the programs and computations to be related facilitates use of simpler relational…

Logic in Computer Science · Computer Science 2023-03-27 Timos Antonopoulos , Eric Koskinen , Ton Chanh Le , Ramana Nagasamudram , David A. Naumann , Minh Ngo

Software Defined Networking (SDN) has been recently introduced as a new communication paradigm in computer networks. By separating the control plane from the data plane and entrusting packet forwarding to straightforward switches, SDN makes…

Networking and Internet Architecture · Computer Science 2016-09-16 Marco Tiloca , Alexandra Stagkopoulou , Gianluca Dini

Guarded Kleene Algebra with Tests (GKAT for short) is an efficient fragment of Kleene Algebra with Tests, suitable for reasoning about simple imperative while-programs. Following earlier work by Das and Pous on Kleene Algebra, we study GKAT…

Logic in Computer Science · Computer Science 2024-05-14 Jan Rooduijn , Dexter Kozen , Alexandra Silva

We present MatchKAT, an algebraic language for modeling match-action packet processing in network switches. Although the match-action paradigm has remained a popular low-level programming model for specifying packet forwarding behavior,…

Formal Languages and Automata Theory · Computer Science 2021-02-16 Xiang Long

Software-defined networking (SDN) programs must simultaneously describe static forwarding behavior and dynamic updates in response to events. Event-driven updates are critical to get right, but difficult to implement correctly due to the…

Programming Languages · Computer Science 2016-04-19 Jedidiah McClurg , Hossein Hojjat , Nate Foster , Pavol Cerny

Software-defined networking (SDN) has shifted network management by decoupling the data and control planes. This enables programmatic control via software applications using open APIs. SDN's programmability has fueled its popularity but may…

Cryptography and Security · Computer Science 2025-02-20 Moustapha Awwalou Diouf , Samuel Ouya , Jacques Klein , Tegawendé F. Bissyandé

Software Defined Networking (SDN) has become a new paradigm in computer networking, introducing a decoupled architecture that separates the network into the data plane and the control plane. The control plane acts as the centralized brain,…

Formal Languages and Automata Theory · Computer Science 2024-11-01 Georgiana Caltais , Mahboobeh Zangiabady , Ervin Zvirbulis

Guarded Kleene Algebra with Tests (GKAT) is the fragment of Kleene Algebra with Tests (KAT) that arises by replacing the union and iteration operations of KAT with predicate-guarded variants. GKAT is more efficiently decidable than KAT and…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Stefan Zetzsche , Alexandra Silva , Matteo Sammartino

Zero Trust (ZT) is a security paradigm aiming to curtail an attacker's lateral movements within a network by implementing least-privilege and per-request access control policies. However, its widespread adoption is hindered by the…

Cryptography and Security · Computer Science 2024-11-25 Charalampos Katsis , Elisa Bertino

NetKAT is a domain-specific programming language and logic that has been successfully used to specify and verify the behavior of packet-switched networks. This paper develops techniques for automatically learning NetKAT models of unknown…

Programming Languages · Computer Science 2025-05-26 Mark Moeller , Tiago Ferreira , Thomas Lu , Nate Foster , Alexandra Silva
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