Intro en stijl
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@ -126,14 +126,50 @@ We deviate even further from the PAC-model as we sometimes change our distributi
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Yet, as applications show, this is a useful way of learning software behaviour.
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Yet, as applications show, this is a useful way of learning software behaviour.
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\stopsection
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\startsection
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[title={Applications of Model Learning}]
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Since this thesis only contains one real-world application on learning in \in{Chapter}[chap:applying-automata-learning], it is good to mention a few others.
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Although we remain in the context of learning software behaviour, the applications are quite different from each other.
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This is by no means a complete list.
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\description{Bug finding in protocols.}
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A prominent example is by \citet[Fiterau-Brostean16].
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They learn models of TCP implementations -- both clients and server sides.
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Interestingly, they found bugs in the (closed source) Windows implementation.
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Later, \citet[Fiterau-BrosteanH17] also found a bug in the sliding window of the Linux implementation.
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Other protocols have been learned as well, such as the MQTT protocol by \citet[TapplerAB17], TLS by \citet[RuiterP15], and SSH by \citet[Fiterau-BrosteanLPRVV17].
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Many of these applications reveal bugs by learning a model and consequently apply model checking.
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The combination of learning and model checking was first described by \citet[PeledVY02].
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\description{Bug finding in smart cards.}
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\citet[AartsRP13] learn the software on smart cards of several Dutch and German banks.
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These cards use the EMV protocol, which is run on the card itself.
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So this is an example of a real black box system, where no other monitoring is possible and no code is available.
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No vulnerabilities were found, although each card had a slightly different protocol.
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Card readers have been learned by \citet[ChaluparPPR14].
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They built a Lego machine which could automatically press buttons and the researchers found a security flaw.
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\description{Regression testing.}
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\citet[HungarNS03] describe the potential of automata learning in regression testing.
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The aim is not to find bugs, but to monitor the development process of a system.
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By considering the differences between models at different stages, one can generate regressions tests.
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\description{Refactoring legacy software.}
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Model learning can also be used in order to verify refactored software.
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\citet[SchutsHV16] have applied this at a project within Philips.
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They learn both an old version and a new version of the same component.
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By comparing the learned models, some differences could be seen.
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This gave developers opportunities to solve problems before replacing the old component by the new one.
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\stopsection
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\stopsection
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\startsection
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\startsection
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[title={Research challenges}]
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[title={Research challenges}]
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% Model learning is far from a
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In this thesis, we will mostly see learning of deterministic automata or Mealy machines.
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In this thesis, we will mostly see learning of deterministic automata or Mealy machines.
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Although this is restrictive as many pieces of software require richer models, it has been successfully applied in many different areas.
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Although this is restrictive as many pieces of software require richer models, it has been successfully applied in the above examples.
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\todo{why}
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The restrictions include the following.
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The restrictions include the following.
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\startitemize[after]
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\startitemize[after]
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\item The system behaves deterministically.
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\item The system behaves deterministically.
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@ -169,44 +205,6 @@ The approach in my thesis will be based on symmetries, which gives yet another i
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\stopdescription
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\stopdescription
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\stopsection
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\startsection
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[title={Applications of Model Learning}]
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Since this thesis only contains one real-world application on learning in \in{Chapter}[chap:applying-automata-learning], it is good to mention a few others.
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Although we remain in the context of learning software behaviour, the applications are quite different.
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This is by no means a complete list.
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\description{Bug finding in protocols.}
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A prominent example is by \citet[Fiterau-Brostean16].
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They learn models of TCP implementations -- both clients and server sides.
|
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Interestingly, they found bugs in the (closed source) Windows implementation.
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Later, \citet[Fiterau-BrosteanH17] also found a bug in the sliding window of the Linux implementation.
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Other protocols have been learned as well, such as the MQTT protocol by \citet[TapplerAB17], TLS by \citet[RuiterP15], and SSH by \citet[Fiterau-BrosteanLPRVV17].
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Many of these applications reveal bugs by learning a model and consequently apply model checking.
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The combination of learning and model checking was first described by \citet[PeledVY02].
|
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\description{Bug finding in smart cards.}
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\citet[AartsRP13] learn the software on smart cards of several Dutch and German banks.
|
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These cards use the EMV protocol, which is run on the card itself.
|
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So this is an example of a real black box system, where no other monitoring is possible and no code is available.
|
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No vulnerabilities were found, although each card had a slightly different protocol.
|
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Card readers have been learned by \citet[ChaluparPPR14].
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They built a Lego machine which could automatically press buttons and the researchers found a security flaw.
|
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\description{Regression testing.}
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\citet[HungarNS03] describe the potential of automata learning in regression testing.
|
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The aim is not to find bugs, but to monitor the development process of a system.
|
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By considering the differences between models at different stages, one can generate regressions tests.
|
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\description{Refactoring legacy software.}
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Model learning can also be used in order to verify refactored software.
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\citet[SchutsHV16] have applied this at a project within Philips.
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They learn both an old version and a new version of the same component.
|
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By comparing the learned models, some differences could be seen.
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This gave developers opportunities to solve problems before replacing the old component by the new one.
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\stopsection
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\stopsection
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\startsection
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\startsection
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[title={Black Box Testing}]
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[title={Black Box Testing}]
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@ -443,7 +441,6 @@ One has to be careful as not all results from automata theory transfer to nomina
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A notable example is the powerset construction, which converts a non-deterministic automaton into a deterministic one.
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A notable example is the powerset construction, which converts a non-deterministic automaton into a deterministic one.
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The problem here is that the powerset of a set is generally \emph{not} orbit-finite and so the finiteness requirement is not met.
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The problem here is that the powerset of a set is generally \emph{not} orbit-finite and so the finiteness requirement is not met.
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Consequently, languages accepted by nominal DFAs are \emph{not} closed under Kleene star, or even concatenation.
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Consequently, languages accepted by nominal DFAs are \emph{not} closed under Kleene star, or even concatenation.
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\todo{ref?}
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\stopsubsection
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\stopsubsection
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@ -458,7 +455,7 @@ However, the chapters do get more technical and mathematical -- especially in \i
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Detailed discussion on related work and future directions of research are presented in each chapter.
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Detailed discussion on related work and future directions of research are presented in each chapter.
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\startcontribution[title={\in{Chapter}[chap:test-methods]: FSM-based test methods.}]
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\startcontribution[title={Chapter \ref[default][chap:test-methods]: FSM-based test methods.}]
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This chapter introduces test generation methods which can be used for learning.
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This chapter introduces test generation methods which can be used for learning.
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The methods are presented in a uniform way, which allows to give a single proof of completeness for all these methods.
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The methods are presented in a uniform way, which allows to give a single proof of completeness for all these methods.
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Moreover, the uniform presentation gives room to develop new test generation methods.
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Moreover, the uniform presentation gives room to develop new test generation methods.
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@ -471,7 +468,7 @@ The main contributions are:
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\stopitemize
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\stopitemize
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\stopcontribution
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\stopcontribution
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\startcontribution[title={\in{Chapter}[chap:applying-automata-learning]: Applying automata learning to embedded control software.}]
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\startcontribution[title={Chapter \ref[default][chap:applying-automata-learning]: Applying automata learning to embedded control software.}]
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In this chapter we will apply model learning to an industrial case study.
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In this chapter we will apply model learning to an industrial case study.
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It is a unique benchmark as it is much bigger than any of the applications seen before (3410 states and 77 inputs).
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It is a unique benchmark as it is much bigger than any of the applications seen before (3410 states and 77 inputs).
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This makes it challenging to learn a model and the main obstacle is finding counterexamples.
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This makes it challenging to learn a model and the main obstacle is finding counterexamples.
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@ -486,7 +483,7 @@ This is based on the following publication:
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\cite[entry][DBLP:conf/icfem/SmeenkMVJ15].
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\cite[entry][DBLP:conf/icfem/SmeenkMVJ15].
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\stopcontribution
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\stopcontribution
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\startcontribution[title={\in{Chapter}[chap:minimal-separating-sequences]: Minimal separating sequences for all pairs of states.}]
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\startcontribution[title={Chapter \ref[default][chap:minimal-separating-sequences]: Minimal separating sequences for all pairs of states.}]
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Continuing on test generation methods, this chapter presents an efficient algorithm to construct separating sequences.
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Continuing on test generation methods, this chapter presents an efficient algorithm to construct separating sequences.
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Not only is the algorithm efficient -- it runs in $\bigO(n \log n)$ time -- it also constructs minimal length sequences.
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Not only is the algorithm efficient -- it runs in $\bigO(n \log n)$ time -- it also constructs minimal length sequences.
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The algorithm is inspired by a minimisation algorithm by \citet[Hopcroft71], but extending it to construct witnesses is non-trivial.
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The algorithm is inspired by a minimisation algorithm by \citet[Hopcroft71], but extending it to construct witnesses is non-trivial.
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@ -502,7 +499,7 @@ This is based on the following publication:
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\cite[entry][DBLP:conf/lata/SmetsersMJ16].
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\cite[entry][DBLP:conf/lata/SmetsersMJ16].
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\stopcontribution
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\stopcontribution
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\startcontribution[title={\in{Chapter}[chap:learning-nominal-automata]: Learning nominal automata.}]
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\startcontribution[title={Chapter \ref[default][chap:learning-nominal-automata]: Learning nominal automata.}]
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In this chapter, we show how to learn automata over infinite alphabets.
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In this chapter, we show how to learn automata over infinite alphabets.
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We do this by translating the \LStar{} algorithm directly to a nominal version, \nLStar{}.
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We do this by translating the \LStar{} algorithm directly to a nominal version, \nLStar{}.
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The correctness proofs mimic the original proofs by \citet[Angluin87].
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The correctness proofs mimic the original proofs by \citet[Angluin87].
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@ -521,7 +518,7 @@ This is based on the following publication:
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\cite[entry][MoermanS0KS17].
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\cite[entry][MoermanS0KS17].
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\stopcontribution
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\stopcontribution
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\startcontribution[title={\in{Chapter}[chap:ordered-nominal-sets]: Fast computations on ordered nominal sets.}]
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\startcontribution[title={Chapter \ref[default][chap:ordered-nominal-sets]: Fast computations on ordered nominal sets.}]
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In this chapter, we provide a library to compute with nominal sets.
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In this chapter, we provide a library to compute with nominal sets.
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We restrict our attention to nominal sets over the total order symmetry.
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We restrict our attention to nominal sets over the total order symmetry.
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This symmetry allows for a rather easy characterisation of orbits, and hence an easy implementation.
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This symmetry allows for a rather easy characterisation of orbits, and hence an easy implementation.
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@ -538,7 +535,7 @@ This is based on the following publication:
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\cite[entry][VenhoekMR18].
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\cite[entry][VenhoekMR18].
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\stopcontribution
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\stopcontribution
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\startcontribution[title={\in{Chapter}[chap:separated-nominal-automata]: Separated nominal automata.}]
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\startcontribution[title={Chapter \ref[default][chap:separated-nominal-automata]: Separated nominal automata.}]
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We investigate how to reduce the size of certain nominal automata.
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We investigate how to reduce the size of certain nominal automata.
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This is based on the observation that some languages (with outputs) are not just invariant under symmetries, but invariant under arbitrary \emph{transformations}, or \emph{renamings}.
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This is based on the observation that some languages (with outputs) are not just invariant under symmetries, but invariant under arbitrary \emph{transformations}, or \emph{renamings}.
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We define a new type of automaton, the \emph{separated nominal automaton}, and show that they exactly accept those languages which are closed under renamings.
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We define a new type of automaton, the \emph{separated nominal automaton}, and show that they exactly accept those languages which are closed under renamings.
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@ -601,31 +598,36 @@ This work was presented at ICGI 2018:
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\startsection
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\startsection
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[title=Conclusion and Outlook]
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[title=Conclusion and Outlook]
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With the current tools for learning, it is possible to learn big state machines of black box systems.
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With the current tools for model learning, it is possible to learn big state machines of black box systems.
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However, a real bottleneck is conformance checking of the hypothesis.
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It involves using the clever algorithms for learning (such as the TTT algorithm by \citenp[Isberner15]) and efficient testing methods (see \in{Chapter}[chap:test-methods]).
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This thesis provides background on conformance checking and also investigates a new algorithm.
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However, as the industrial case study from \in{Chapter}[chap:applying-automata-theory] shows, the bottleneck is often in conformance testing.
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These testing algorithm are as efficient as they can.
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In order to improve on this bottleneck, one possible direction is to consider \quote{grey box testing.}
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So in order to improve on this bottleneck, one possible direction is to consider \quotation{grey box testing}.
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The methods discussed in this thesis are all black box methods, this could be considered as \quote{too pessimistic.}
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This means that we should be looking into using more information of the system during testing (and learning).
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Often, we do have (parts of the) source code and we do know relationships between different inputs.
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Often, we do have (parts of the) source code and we do know relationships between different inputs.
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The question is how this additional information can be integrated in the learning and testing of systems.
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The question is how this additional information can be integrated in a principled manner in the learning and testing of systems.
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Another path taken in this thesis is the research on nominal automata.
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Another path taken in this thesis is the research on nominal automata.
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This was motivated by the problem of learning automata over an infinite alphabet.
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This was motivated by the problem of learning automata over infinite alphabets.
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So far, the results on nominal automata are mostly theoretical in nature.
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So far, the results on nominal automata are mostly theoretical in nature.
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Nevertheless, we show that the nominal algorithms can be implemented and that the algorithms can be run concretely on black box systems (\in{Chapter}[chap:learning-nominal-automata]).
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Nevertheless, we show that the nominal algorithms can be implemented and that they can be run concretely on black box systems (\in{Chapter}[chap:learning-nominal-automata]).
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The advantage of using the foundations of nominal sets is that the algorithms are closely related to the original \LStar{} algorithm.
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Consequently, variations of \LStar{} can easily be implemented.
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For instance, we show that \NLStar{} algorithm for non-deterministic automata works in the nominal case too.
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The nominal learning algorithms can be implemented in just a few hundreds lines of code, much less than the approach taken by, e.g., \citet[Fiterau-Brostean18].
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However, the tools leave much to desired in terms of efficiency.
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In this thesis we tackle some efficiency issues when computing with nominal sets.
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Some of the efficiency is tackled in \in{Chapter}[chap:ordered-nominal-sets] for a particular symmetry.
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In \in{Chapter}[chap:ordered-nominal-sets] we characterise orbits in order to give a efficient representation (for the total-order symmetry).
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Another result is the fact that some automata can be \quotation{compressed} if they accept a certain type of language (\in{Chapter}[chap:separated-nominal-automata]).
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Another result is the fact that some nominal automata can be \quote{compressed} to separated automata, which can be exponentially smaller (\in{Chapter}[chap:separated-nominal-automata]).
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However, the nominal tools still leave much to desired in terms of efficiency.
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Last, it would be interesting to marry the two paths taken in this thesis.
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Last, it would be interesting to marry the two paths taken in this thesis.
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I am not aware of complete test suites for register automata or nominal automata.
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I am not aware of $n$-complete test suites for register automata or nominal automata.
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The results on learning nominal automata in \in{Chapter}[chap:learning-nominal-automata] show that this should be possible, as an observation table should give a test suite.
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The results on learning nominal automata in \in{Chapter}[chap:learning-nominal-automata] show that this should be possible, as an observation table gives a test suite.
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\footnote{The rows of a table are access sequences, and the columns provide a characterisation set.}
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However, there is an interesting twist to this problem.
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However, there is an interesting twist to this problem.
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The test methods from \in{Chapter}[chap:test-methods] can all account for extra states.
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The test methods from \in{Chapter}[chap:test-methods] can all account for extra states.
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For nominal automata, we should be able to cope with extra states and extra registers.
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For nominal automata, we should be able to cope with extra states \emph{and} extra registers.
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It will be interesting to see how the test suite grows as these two dimensions increase.
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It will be interesting to see how the test suite grows as these two dimensions increase.
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@ -526,7 +526,8 @@ These languages naturally arise as the semantics of register automata.
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The definition of register automata is not as simple as that of ordinary finite automata.
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The definition of register automata is not as simple as that of ordinary finite automata.
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Consequently, transferring results from automata theory to this setting often requires non-trivial proofs.
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Consequently, transferring results from automata theory to this setting often requires non-trivial proofs.
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Nominal automata, instead, are defined as ordinary automata by replacing finite sets with orbit-finite nominal sets.
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Nominal automata, instead, are defined as ordinary automata by replacing finite sets with orbit-finite nominal sets.
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The theory of nominal automata is developed by \citet[BojanczykKL14] and it is shown that many, but not all, algorithms from automata theory transfer to nominal automata.
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The theory of nominal automata is developed by \citet[BojanczykKL14] and it is shown that many algorithms, such as minimisation (based on the Myhill-Nerode equivalence), from automata theory transfer to nominal automata.
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Not all algorithms work: e.g., the subset construction fails for nominal automata.
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As an example we consider the following language on rational numbers:
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As an example we consider the following language on rational numbers:
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\startformula
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\startformula
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@ -636,7 +637,7 @@ Where applicable, the automata listed above were generated using the code from \
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\startsubsection
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\startsubsection
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[title={Minimising nominal automata}]
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[title={Minimising nominal automata}]
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For languages recognised by nominal DFAs, a Myhill-Nerode theorem holds which relates states to right congruence classes \citep[BojanczykKL14].
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For languages recognised by nominal DFAs, a Myhill-Nerode theorem holds which relates states to right congruence classes.
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This guarantees the existence of unique minimal automata.
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This guarantees the existence of unique minimal automata.
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We say an automaton is \emph{minimal} if its set of states has the least number of orbits and each orbit has the smallest dimension possible.
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We say an automaton is \emph{minimal} if its set of states has the least number of orbits and each orbit has the smallest dimension possible.
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\footnote{Abstractly, an automaton is minimal if it has no proper quotients.
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\footnote{Abstractly, an automaton is minimal if it has no proper quotients.
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@ -64,9 +64,9 @@ This is relevant for name abstraction \citep[Pitts13], and has also been studied
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We apply these connections between nominal sets and renaming sets in the context of automata theory.
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We apply these connections between nominal sets and renaming sets in the context of automata theory.
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Nominal automata are an elegant model for recognising languages over infinite alphabets.
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Nominal automata are an elegant model for recognising languages over infinite alphabets.
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They are expressively equivalent to the more classical register automata \citep[BojanczykKL14],
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They are expressively equivalent to the more classical register automata,
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and have appealing properties that register automata lack, such as unique minimal automata.
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and have appealing properties that register automata lack, such as unique minimal automata.
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However, moving from register automata to nominal automata can lead to an exponential blow-up in the number of states.
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However, moving from register automata to nominal automata can lead to an exponential blow-up in the number of states \citep[BojanczykKL14].
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\footnote{Here \quote{number of states} refers to the number of orbits in the state space.}
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\footnote{Here \quote{number of states} refers to the number of orbits in the state space.}
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As a motivating example, we consider a language modelling an $n$-bounded FIFO queue.
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As a motivating example, we consider a language modelling an $n$-bounded FIFO queue.
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@ -12,9 +12,8 @@
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\usebtxdataset[../biblio-web.bib]
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\usebtxdataset[../biblio-web.bib]
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\setupbtx[apa:cite][etallimit=2,separator:4={ and }]
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\setupbtx[apa:cite][etallimit=2,separator:4={ and }]
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\setupbtx[apa:cite:url[left={}, right={}]
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% interaction in de lijst lijkt stuk te zijn? Dus ik zet het uit
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% interaction in de lijst lijkt stuk te zijn?
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\setupbtx[apa:list][interaction=stop]
|
||||||
\setupbtx[apa:list][interaction=no]
|
|
||||||
\setupbtxrendering[pagestate=start] % print pagina nummers
|
\setupbtxrendering[pagestate=start] % print pagina nummers
|
||||||
\setupbtxlist[apa][margin=1.75em]
|
\setupbtxlist[apa][margin=1.75em]
|
||||||
|
|
||||||
|
@ -32,6 +31,4 @@
|
||||||
\def\citep[#1]{\cite[authoryear][#1]} % (Bla and Foo, 2015)
|
\def\citep[#1]{\cite[authoryear][#1]} % (Bla and Foo, 2015)
|
||||||
\def\citeurl[#1]{\cite[alternative=url,left=,right=][#1]} % url
|
\def\citeurl[#1]{\cite[alternative=url,left=,right=][#1]} % url
|
||||||
|
|
||||||
%\cite[lefttext={See },righttext={ p.\nbsp yy}][book] -> (See Bla, Foo & Baz, 2015, p. yy)
|
|
||||||
|
|
||||||
\stopenvironment
|
\stopenvironment
|
||||||
|
|
|
@ -5,7 +5,7 @@
|
||||||
%\setupsynctex[state=start]
|
%\setupsynctex[state=start]
|
||||||
|
|
||||||
% Klikbare referenties
|
% Klikbare referenties
|
||||||
\setupinteraction[state=start,focus=standard,contrastcolor=darkgreen]
|
\setupinteraction[state=start, focus=standard, contrastcolor=darkgreen, style=normal]
|
||||||
|
|
||||||
% Bookmarks in de pdf
|
% Bookmarks in de pdf
|
||||||
\placebookmarks[chapter,section]
|
\placebookmarks[chapter,section]
|
||||||
|
|
Reference in a new issue