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<title>BaaS: Bisimulation as a Service</title>
<link rel="stylesheet" media="screen" href="style.css">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta name="author" content="Joshua Moerman">
<meta name="description" content="Checking behavioural equivalence was never this easy!">
</head>
<!--
Hi there!
Great to see you look at the source of this webpage. As you
have probably guessed, this is an April fools day joke. Hope
you can enjoy :-).
In case you actually want to compute bisimulations, you can
have a look at model checkers such as:
- mCRL2: https://www.mcrl2.org
- Storm: https://www.stormchecker.org
- CADP: https://cadp.inria.fr
- UPPAAL: http://www.uppaal.org
- Prism: https://www.prismmodelchecker.org
Many provide implementations for checking bisimilarity.
I would like to draw you attention to CoPaR:
- https://git8.cs.fau.de/software/copar
It is a generic implementation of parition refinement, based
on category theory. It implements all the usual bisimulation
algorithms (bisimulation, weighted bisimulation, lumping, ...)
with a single generic algorithm. In most cases it provides the
current best complexity of these algorithms.
Kind regards,
Joshua Moerman
-->
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<section class="intro">
<header>
<h1>BaaS</h1>
<h2>Bisimulation as a Service</h2>
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<div class="summary">
<p>Check behavioural equivalence of your models NOW!
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</section>
<div class="main">
<div class="middle">
<h3>What we do as BaaS</h3>
<p>We provide an online service for <em>bisimulation checking</em>.
Bisimulation is a must in the Industry 4.0 era.
Correctness and robustness of your software products are our top priority.
With BaaS, we are changing the way you do verification.
<p>Developers can now check behavioural equivalence with the touch of a button, increasing their productivity.
We support many types of bisimulation, including the latest up-to techniques.
<p>You can register for a monthly subscription which allows you to check many models.
We provide a free plan with reduced functionality.
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<img class="cat" src="ginger-cat-746.png"/>
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<h3>What is a bisimulation?</h3>
<p>Two systems are <em>bisimilar</em> if they match each other's moves.
In this sense, each of the systems cannot be distinguished from the other by an observer.
<p>A bisimulation relation is a <em>certificate</em> of this equivalence.
Our service computes this certificate automatically for you.
This makes our service trustworthy and secure, as it does not only return a binary output.
<p>If your system contains a bug, our service will not be able to produce this certificate.
Instead, it will return a counterexample, which can be used to resolve the bug.
<p>Bisimulations are also used to minimise your state-based systems.
This enables model-checkers to prove correctness in terms of temporal logics.
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<h3>Efficient</h3>
<p>Our algorithms are state-of-the art, using up-to techniques, making us the most efficient BaaS.
These up-to-techniques compress the bisimulation by using algebraic and coalgebraic properties of the system.
It allows the bisimulation algorithm to exit early and find bugs more quickly.
This is not only good for efficiency and throughput, it also shrinks the size of the certificate.
</div>
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<img class="cat" src="ginger-cat-713.png"/>
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<div>
<div class="profile">
<img class="profile-pic" src="Rob.jpg"><br>
Prof. Dr. Rob van Glabbeek.<br>
<em>Expert.</em>
</div>
</div>
<div>
<h3>Testimonial</h3>
<p style="font-style:italic">"BaaS is by far the most user-friendly bisimulation checker I have every tried.
Small systems, or ones with millions of transitions, Baas gives me the
right answers in virtually no time at all. Never again need I
experiment with dotted lines on a whiteboard: just pipe it through
BaaS and all will be clear!"
<p style="text-align:right">- Rob van Glabbeek
</div>
</div>
<div class="middle">
<h3>BaaS Plans</h3>
<p>Get in touch to inquire about the pricing.
Below is a table of the different features we provide.
<table>
<tr class="rowheader"><th>You get<th>Free<th>Premium BaaS
<tr><td>Maximal number of models per month<td>10<td>9000
<tr><td>Maximal number of states per model<td>50<td>1000000
<tr><td>Maximal number of transitions per model<td>100<td>9000000
<tr class="rowheader"><th>Features<th><th>
<tr><td>Standard (strong) bisimulation<td><td>
<tr><td>Branching bisimulation<td><td>
<tr><td>Bisimulation up-to transitive closure and congruence<td><td>
<tr><td>Bisimulation up-to bisimulation<td><td>
<tr><td>CEGAR & CEGIS API<td><td>
<tr><td>O(m log n) algorithms<td><td>
<tr><td>Big Data Types<!-- Credits to Freek Wiedijk for this joke! --><td><td>
<tr class="rowheader"><th>Models<th><th>
<tr><td>Deterministic Automata<td><td>
<tr><td>Nondeterministic Automata<td><td>
<tr><td>Weighted Automata<td><td>
<tr><td>Weighted Tree Automata<td><td>
<tr><td>Deterministic Register Automata<td><td>
<tr><td>Markovian Timed Fault Trees<td><td>
<tr><td>Quantum Software Product Line Systems<td><td>
<tr><td>Labelled Transition Blockchain Coalgebras<td><td>
</table>
<p>Upon request, we can provide <em>divergence-preserving branching bisimilarity</em> for citizens from The Netherlands and France.
</div>
<div class="middle">
<h3>Team</h3>
<p>We're a team of bisimulation technologists and serious entrepreneurs.
We work around the clock, to make sure your bisimulations are always ready to go.
<div class="team">
<div class="profile">
<img class="profile-pic" src="Joshua.jpg"><br>
Joshua Moerman, PhD.<br>
Founder, Bisimulation Evangelist.
</div>
<div class="profile">
<img class="profile-pic" src="Jurriaan.jpg"><br>
Jurriaan Rot, PhD.<br>
CEO, CPO, and CTO.
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</div>
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<footer>
Copyright 2020 - BaaS - Bisimulation Online
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