34 research outputs found
A Fast Compiler for NetKAT
High-level programming languages play a key role in a growing number of
networking platforms, streamlining application development and enabling precise
formal reasoning about network behavior. Unfortunately, current compilers only
handle "local" programs that specify behavior in terms of hop-by-hop forwarding
behavior, or modest extensions such as simple paths. To encode richer "global"
behaviors, programmers must add extra state -- something that is tricky to get
right and makes programs harder to write and maintain. Making matters worse,
existing compilers can take tens of minutes to generate the forwarding state
for the network, even on relatively small inputs. This forces programmers to
waste time working around performance issues or even revert to using
hardware-level APIs.
This paper presents a new compiler for the NetKAT language that handles rich
features including regular paths and virtual networks, and yet is several
orders of magnitude faster than previous compilers. The compiler uses symbolic
automata to calculate the extra state needed to implement "global" programs,
and an intermediate representation based on binary decision diagrams to
dramatically improve performance. We describe the design and implementation of
three essential compiler stages: from virtual programs (which specify behavior
in terms of virtual topologies) to global programs (which specify network-wide
behavior in terms of physical topologies), from global programs to local
programs (which specify behavior in terms of single-switch behavior), and from
local programs to hardware-level forwarding tables. We present results from
experiments on real-world benchmarks that quantify performance in terms of
compilation time and forwarding table size
Checking-in on Network Functions
When programming network functions, changes within a packet tend to have
consequences---side effects which must be accounted for by network programmers
or administrators via arbitrary logic and an innate understanding of
dependencies. Examples of this include updating checksums when a packet's
contents has been modified or adjusting a payload length field of a IPv6 header
if another header is added or updated within a packet. While static-typing
captures interface specifications and how packet contents should behave, it
does not enforce precise invariants around runtime dependencies like the
examples above. Instead, during the design phase of network functions,
programmers should be given an easier way to specify checks up front, all
without having to account for and keep track of these consequences at each and
every step during the development cycle. In keeping with this view, we present
a unique approach for adding and generating both static checks and dynamic
contracts for specifying and checking packet processing operations. We develop
our technique within an existing framework called NetBricks and demonstrate how
our approach simplifies and checks common dependent packet and header
processing logic that other systems take for granted, all without adding much
overhead during development.Comment: ANRW 2019 ~ https://irtf.org/anrw/2019/program.htm
Guarded Kleene algebra with tests: verification of uninterpreted programs in nearly linear time
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 of GKAT and show how it can be efficiently used to reason about imperative programs. In contrast to KAT, whose equational theory is PSPACE-complete, we show that the equational theory of GKAT is (almost) linear time. We also provide a full Kleene theorem and prove completeness for an analogue of Salomaa’s axiomatization of Kleene Algebra
Foundations of Software Science and Computation Structures
This open access book constitutes the proceedings of the 25th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2022, which was held during April 4-6, 2022, in Munich, Germany, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2022. The 23 regular papers presented in this volume were carefully reviewed and selected from 77 submissions. They deal with research on theories and methods to support the analysis, integration, synthesis, transformation, and verification of programs and software systems
Foundations of Software Science and Computation Structures
This open access book constitutes the proceedings of the 25th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2022, which was held during April 4-6, 2022, in Munich, Germany, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2022. The 23 regular papers presented in this volume were carefully reviewed and selected from 77 submissions. They deal with research on theories and methods to support the analysis, integration, synthesis, transformation, and verification of programs and software systems
Probabilistic Guarded KAT Modulo Bisimilarity: Completeness and Complexity
We introduce Probabilistic Guarded Kleene Algebra with Tests (ProbGKAT), an extension of GKAT that allows reasoning about uninterpreted imperative programs with probabilistic branching. We give its operational semantics in terms of special class of probabilistic automata. We give a sound and complete Salomaa-style axiomatisation of bisimilarity of ProbGKAT expressions. Finally, we show that bisimilarity of ProbGKAT expressions can be decided in O(n3 log n) time via a generic partition refinement algorithm
Scalable verification of probabilistic networks
This paper presents McNetKAT, a scalable tool for verifying
probabilistic network programs. McNetKAT is based on a
new semantics for the guarded and history-free fragment
of Probabilistic NetKAT in terms of finite-state, absorbing
Markov chains. This view allows the semantics of all programs to be computed exactly, enabling construction of an
automatic verification tool. Domain-specific optimizations
and a parallelizing backend enable McNetKAT to analyze
networks with thousands of nodes, automatically reasoning
about general properties such as probabilistic program equivalence and refinement, as well as networking properties such
as resilience to failures. We evaluate McNetKAT’s scalability using real-world topologies, compare its performance
against state-of-the-art tools, and develop an extended case
study on a recently proposed data center network design