Automated Discovery of Declarative Process Models

The Automated Discovery of Declarative Process ModelsClaudio Di Ciccio

[email protected]

Humboldt-Universität zu Berlin, 7 December 2016

www.wu.ac.atwww.wu.ac.at/infobizwww.wu.ac.at/infobiz/team/diciccio

Control-flow discovery

?

Objective: understanding the temporal structure that best describes the process behind the event log

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Knowledge-intensive Processes

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Knowledge-intensiveProcesses

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Mining flexible processes

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Declarative modelling ofprocesses

Usage of constraints “Open model”

Declare state-of-the-art language

If A is performed,B must be performed,

no matter if before or afterwards(responded existence)

Whenever B is performed,C must be performed afterwards

and B can not be repeateduntil C is done

(alternate response)SEITE 7

Workflow Netsas process models

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Imperative v declarative

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Declarative processesDECLARE

Declarative process modelling

“Open model” Specify constraints for

permitted behaviour Every execution that

complies with them is acceptable

Works best with flexible processes

The set of DECLARE templates is extendible

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A fragment of declarative process model If an abstract is submitted, a new paper

had been written or will be written

After the paper submission, a confirmation email is sent

After the paper submission, the paper will be reviewed;there can be no review without a preceding submission

A paper can be accepted only after it has been reviewed

After the rejection, no further submission follows

Paper cannot be both accepted and rejected

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Submit abstract Write new paper

Submit paper Send confirmation email

Submit paper Review paper

Review paper Accept paper

Reject paper Submit paper

Accept paper Reject paper

= activation task

Responded existence(Submit abstract, Write new paper)

Response(Submit paper, Send confirmation email)

Succession(Submit paper, Review paper)

Precedence(Review paper, Accept paper)

Not succession(Reject paper, Submit paper)

Not co-existence(Accept paper, Reject paper)

Template Tasks

A fragment of declarative process model

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Submit abstract

Write new paper Submit paper

Send confirmation email

Review paper Accept paper

Reject paper

Declare:Existence Constraint Templates

Existence(n, A)Activity A occurs at least n times in the process instanceBCAAC ✓ BCAAAC ✓ BCAC ✗ (for n = 2)

Absence(A)Activity A does not occur in the process instanceBCC ✓ BCAC ✗

Absence(n+1, A)Activity A occurs at most n-1 times in the process instanceBCAAC ✗ BCAC ✓ BCC ✓ (for n = 2)

Exactly(n, A)Activity A occurs exactly n times in the process instanceBCAAC ✓ BCAAAC ✗ BCAC ✗ (for n = 2)

Init(A)Activity A is the first to occur in each process instanceBCAAC ✗ ACAAAC ✓ BCC ✗

Absence(2, A) ≡ AtMostOne(A)

Existence(1, A) ≡ Participation(A)

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Declare:Relation Constraint Templates

RespondedExistence(A, B)If A occurs in the process instance, then B occurs as wellCAC ✗ CAACB ✓BCAC ✓ BCC ✓

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RespondedExistence(A, B)If A occurs in the process instance, then B occurs as wellCAC ✗ CAACB ✓BCAC ✓ BCC ✓Response(A, B)If A occurs in the process instance, then B occurs after ABCAAC ✗ CAACB ✓CAC ✗ BCC ✓

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RespondedExistence(A, B)If A occurs in the process instance, then B occurs as wellCAC ✗ CAACB ✓BCAC ✓ BCC ✓Response(A, B)If A occurs in the process instance, then B occurs after ABCAAC ✗ CAACB ✓CAC ✗ BCC ✓AlternateResponse(A, B)Each time A occurs in the process instance, then B occurs afterwards, before A recursBCAAC ✗ CAACB ✗ CACB ✓CABCA ✗ BCC ✓ CACBBAB ✓

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RespondedExistence(A, B)If A occurs in the process instance, then B occurs as wellCAC ✗ CAACB ✓BCAC ✓ BCC ✓Response(A, B)If A occurs in the process instance, then B occurs after ABCAAC ✗ CAACB ✓CAC ✗ BCC ✓AlternateResponse(A, B)Each time A occurs in the process instance, then B occurs afterwards, before A recursBCAAC ✗ CAACB ✗ CACB ✓CABCA ✗ BCC ✓ CACBBAB ✓ChainResponse(A, B)Each time A occurs in the process instance, then B occurs immediately afterwardsBCAAC ✗ BCAABC ✗ BCABABC ✓

Activation Target


RespondedExistence(B, A)If B occurs in the process instance, then A occurs as wellCAC ✓ CAACB ✓BCAC ✓ BCC ✗Precedence(A, B)B occurs in the process instance only if preceded by ABCAAC ✗ CAACB ✓CAC ✓ BCC ✓AlternatePrecedence(A, B)Each time B occurs in the process instance, it is preceded by A and no other B can recur in betweenBCAAC ✗ CAACB ✓ CACB ✓CABCA ✓ BCC ✗ CACBAB ✓ChainPrecedence(A, B)Each time B occurs in the process instance, then B occurs immediately beforehandBCAAC ✗ BCAABC ✗ CABABCA ✓

Target Activation


CoExistence(A, B) ≡ Resp’dEx.(A, B) Resp’dEx.(B, A)If B occurs in the process instance, then A occurs, and viceversaCAC ✗ CAACB ✓BCAC ✓ BCC ✗Succession(A, B) ≡ Response(A, B) Precedence(A, B)A occurs if and only if it is followed by B in the process instanceBCAAC ✗ CAACB ✓CAC ✗ BCC ✗AlternateSuccession(A, B) ≡ Alt.Resp.(A, B) Alt.Prec.(A, B)A and B occur in the process instance if and only if the latter follows the former, and they alternate each other in the traceBCAAC ✗ CAACB ✗ CACB ✓CABCA ✗ BCC ✗ CACBAB ✓ChainSuccession(A, B) ≡ ChainResp.(A, B) ChainPrec.(A, B)A and B occur in the process instance if and only if the latter immediately follows the formerBCAAC ✗ BCAABC ✗ CABABC ✓

Activation Target

Target Activation

Declare: NegativeRelation Constraint Templates

NotCoExistence(A, B)A and B never occur together in the process instanceCAC ✓ CAACB ✗BCAC ✗ BCC ✓NotSuccession(A, B)A can never occur before B in the process instanceBCAAC ✓ CAACB ✗CAC ✓ BCC ✓NotChainSuccession(A, B)A and B occur in the process instance if and only if the latter does not immediately follows the formerBCAAC ✓ BCAABC ✗ CBACBA ✓

Activation Target

Target Activation

Subsumption hierarchyof constraint templates

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Declarative processesDiscovery of DECLARE models

Constraints mining

?

Objective: understanding the constraints that best define the allowed behaviour of the process behind the event log

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Mining declarative processes:ingredients

“Submit abstract”,“Submit paper”,“Accept paper”,…

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A,B,C,…

Activities Process alphabet

Mining declarative processes

RespondedExistence(A, B) ?RespondedExistence(A, C) ?…Response(A, B) ?Response(A, C) ?…

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• Support:fraction of cases fulfilling the constraint

• Confidence:support scaled by fraction of traces in which the activation occurs

• Interest factor:confidence scaled by fraction of traces in which the target occurs

Support Conf. I.F.

Threshold

Threshold

Threshold


RespondedExistence(A, B) ?RespondedExistence(A, C) ?…Response(A, B) ?Response(A, C) ?…

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Support Conf. I.F.





RespondedExistence(A, B) RespondedExistence(A, C) …Response(A, B) ?Response(A, C) …

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Support Conf. I.F.





RespondedExistence(A, B) RespondedExistence(A, C) …Response(A, B) Response(A, C) …

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Support Conf. I.F.




Constraints miningAn example

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A A B C A B C A C B C D

A C C A B B C B C A C B B D

C C C C C A A B C A A B A A B

A B B B D

C B A B D

A B B D

A A A C A C B D

A B C D

C A B A A C C B B D

B C C D

C A A C C C A A B C B C C B D

The role of Support(event-based)

A A B C A B C A C B C DA C C A B B C B C A C B B DC C C C C A A B C A A B A A BA B B B DC B A B DA B B DA A A C A C B DA B C DC A B A A C C B B DB C C DC A A C C C A A B C B C C B D

Support for Response(A, B)

1.0 Precedence(A, B)

0.926 (25/27) Pruning on the basis of a

support threshold E.g., 0.95

A threshold equal to 1.0 for a constraint means “always valid in the log”

ActivationTargetTarget

Activation

SEITE 31http://github.com/cdc08x/minerful

Prom Nightly Builds > “Declare MINERful” plug-in

The role of Support(trace-based)

A A B C A B C A C B C DA C C A B B C B C A C B B DC C C C C A A B C A A B A A BA B B B DC B A B DA B B DA A A C A C B DA B C DC A B A A C C B B DB C C DC A A C C C A A B C B C C B D

Support for Response(A, B)

1.0 Precedence(A, B)

0.818 (9/11) Pruning on the basis of a

support threshold E.g., 0.95

A threshold equal to 1.0 for a constraint means “always valid in the log”

SEITE 32 http://sourceforge.net/projects/prom/files/ProM/6.3

Declarative processesChallenges

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Objective

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Make mined modelsintelligible

Prune irrelevant/redundant information Detect inconsistencies (yes, it happens) Picture what the model tells Increase the expressiveness of discovered

models Specify templates

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SEITE 37© Granger, NYC, source: https://www.granger.com/

Redundancies in discovered constraints

E.g., A trace likeA B A B C A B C Csatisfies (w.r.t. A and B): RespondedExistence(A, B), RespondedExistence(B, A),

Response(A, B), AlternateResponse(A, B), ChainResponse(A, B),Precedence(A, B), AlternatePrecedence(A, B), ChainPrecedence(A, B),CoExistence(A, B), CoExistence(B, A),Succession(A, B), AlternateSuccession(A, B), ChainSuccession(A, B)

Among them, the mining algorithm should return only the most restricting constraint – i.e., ChainSuccession(A, B)

In order to face this issue, returned constraints are pruned on the basis of the subsumption hierarchy of constraints

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Pruning redundant constraints

1.0

1.0

1.0

1.01.0

1.0

1.0

1.0

1.0

1.0

1.0

✖✖✖

✖✖✖✖

✖✖✖

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Pruning redundant constraints

0.8

0.8

0.9

0.90.9

0.9

0.7

0.7

0.9

0.9

0.9

✖ ✖??

✖

✖

✖

??

Support ✖

✖✖✖

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RespondedExistence(A, B) RespondedExistence(A, C) ?…Response(A, B) Response(A, C) …

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Support Conf. I.F.


RespondedExistence(A, B) RespondedExistence(A, C) ?…Response(A, B) Response(A, C) …

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Support Conf. I.F.


RespondedExistence(A, B) RespondedExistence(A, C) …Response(A, B) Response(A, C) …

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Support Conf. I.F.

http://github.com/cdc08x/minerfulProm Nightly Builds > “Declare MINERful” plug-inhttp://sourceforge.net/projects/prom/files/ProM/6.3




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InterludeDECLARE & Regular Expressions

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RespondedExistence(A, B)RespondedExistence(A, C)andResponse(A, B)Response(A, C)and…

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Semantics of Declare:Regular Expressions

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From constraints-based model to FSA

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[â]*((a.*b.*)|(b.*a.*))*[â]* [â]*(a.*c)*[â]*

RegularExpression

DeterministicFiniteState

Automaton

RespondedExistence(A, B)RespondedExistence(A, C)andResponse(A, B)Response(A, C)and…



models

Reprise

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While mining a real-life log…

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Submit

draft

Write

deliverableOrganise

agenda

Time to challenge the X

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Submit

draft

Write

deliverableOrganise

agenda

The result

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The problem

When support threshold is lower than 100%,constraints can be valid through most of the log, though being in conflict

Example: an event log consists of two traces:1. <A, B, A, B, A, B, C>2. <A, B, A, B, A, C>

Support threshold: 0.7• a is always the first

Init(A)• c is always the last

End(C)• In 6 cases over 8 (75%), a and c do not directly follow each

other NotChainSuccession(A, C)

• In 5 cases over 7 (71.143%), b and c do not directly follow each other

NotChainSuccession(B, C)

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The problem

When support threshold is lower than 100%,constraints can be valid through most of the log, though being in conflict

Example: an event log consists of two traces:1. <A, B, A, B, A, B, C>2. <A, B, A, B, A, C>

Support threshold: 0.7• a is always the first

Init(A)• c is always the last

End(C)• In 6 cases over 8 (75%), a and c do not directly follow each

other NotChainSuccession(A, C)

• In 5 cases over 7 (71.143%), a and b do not directly follow each other

NotChainSuccession(B, C)

Question: what can be done right before C? inconsistency!

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The algorithm to detect inconsistencies

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Init(a)

Participation(b)AtMostOne(c)End(c) ChainPrecedence(a, b)…

ChainSuccession(a, b)Response(a, b)ChainResponse(b, a)NotChainSuccession(a, c) ChainSuccession(b, a)NotChainSuccession(b, c)…

…

…

1

Event log

Declare constraints

Automata

Safe constraints

(support 100%)

Unsafe

constr

aints

Product

automaton

The algorithm to detect inconsistencies

Init(a)

Participation(b)AtMostOne(c)End(c) ChainPrecedence(a, b)…

ChainSuccession(a, b)Response(a, b)ChainResponse(b, a)NotChainSuccession(a, c) ChainSuccession(b, a)NotChainSuccession(b, c)…

…

…

1

2

Event log

Declare constraints

Automata

Safe constraints

Unsafe

constr

aints

Product

automaton

SEITE 56 http://github.com/cdc08x/minerful

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models

SEITE 58© Granger, NYC, source: https://www.granger.com/

The application of the method to minimise the model

Rationale:1. How to find redundancies among constraints?

Use the automaton-model correspondence Same language recognised after the product?

Main difference with the inconsistency-checking algorithm

Constraints having support 100% are checked for redundancies

More details in the paper

SEITE 59 http://github.com/cdc08x/minerful

The application of the method to minimise the model

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BPIC 2012


Prune irrelevant/redundant information Detect inconsistencies (yes, it happens) Picture what the model tells

Inspect the imperative counterpart Simulate runs

Increase the expressiveness of discovered models

Specify templates

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From declarative to imperative models

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Event log

Declare

constraintsResponse(Queued, Accepted)NotChainSuccession(Queued, Completed)Response(Queued, Completed)NotChainSuccession(Queued, Unmatched)Response(Accepted, Completed)End(Completed)NotSuccession(Completed, Unmatched)AtMostOne(Unmatched)RespondedExistence(Unmatched, Accepted)AlternateResponse(Unmatched, Completed)

…

Automata

Product

automatonTheory ofRegions

Petri Net

Petrify





Specify templates

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Generation of logs

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http://github.com/cdc08x/minerfulhttp://github.com/processmining/synthetic-log-generator





Specify templates

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Target-Branched Declare

Support for Response(A, {B, C})

1.0

B A A B A B C DA A D B B A A D CB A D D A D D A B EC A B CD A D B DA E A CA A A D BD A D D B DA A A D C DA D D D A CA A BE D E B C E E C B E

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ActivationTarget

Branching factor = 2

Objective

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+ Expressive Power+ Conciseness

Evaluation:constraints pruning

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BPI Challenge 2012(0) 6,654,480 (1) 10,676 (2) 1446 (3) 12

Evaluation:performance

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BPI Challenge 2012(KB) 00:07.274 (Const’s) 25:51.678 (Total) 26:11.380

http://github.com/cdc08x/minerful





Specify templates

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Semantics of Declare:LTL and LTLf

Linear Temporal Logic (LTL) initially was a specification language for the execution of (endless) concurrent programs (Pnueli, 1977) Syntax (let A be a propositional symbol):

DECLARE was initially based on LTL

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“Until”

“Eventually”“Always”

“Next”

Semantics of Declare:LTL

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Declarative process modelling

“Open model” Specify constraints for

permitted behaviour Every execution that

complies with them is acceptable

Works best with flexible processes

The set of DECLARE templates is extendible

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Extendibility of DECLARE:A clear business impact

SEITE 74Source: http://businessvalueexchange.com/

Semantics of Declare:LTL and LTLf

Linear Temporal Logic (LTL) initially was a specification language for the execution of (endless) concurrent programs (Pnueli, 1977) Syntax (let A be a propositional symbol):

Interpretation over infinite traces,i.e., an infinite sequence of consecutive instants of time

LTLf formulae are meant to be interpreted over finite traces

“Until”

“Eventually”“Always”

“Next”

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Semantics of Declare:LTLf

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Semantics of Declare:SCIFF

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Semantics of Declare:R/I-nets

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Semantics of Declare:FOL over finite traces

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Semantics of Declare:Regular expressions

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More alternatives for DECLARE spec.: A clear business impact

SEITE 81Source: http://businessconsultantsnewyork.blogspot.co.at/

My long-term objective

Establish an algebra of constraint templates, built on a basis of behavioural relations that are: orthogonal to one another (no entailments,

subsumptions…) covering multiple trace-based behavioural relations

definition languages by linear composition have clear semantics (last but for sure NOT least) ...

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Further reading

Presented: About MINERful:

Claudio Di Ciccio, Massimo Mecella: On the Discovery of Declarative Control Flows for Artful Processes. ACM Trans. Management Inf. Syst. 5(4): 24:1-24:37 (2015)

Simulation of DECLARE models: Claudio Di Ciccio, Mario Luca Bernardi, Marta Cimitile, Fabrizio Maria Maggi: Generating Event Logs Through the

Simulation of Declare Models. EOMAS@CAiSE 2015: 20-36 Discovery of target-branched DECLARE models:

Claudio Di Ciccio, Fabrizio Maria Maggi, Jan Mendling: Efficient discovery of Target-Branched Declare constraints. Inf. Syst. 56: 258-283 (2016)

Getting rid of redundancies and inconsistencies: Claudio Di Ciccio, Fabrizio Maria Maggi, Marco Montali, Jan Mendling: Ensuring Model Consistency in Declarative Process

Discovery. BPM 2015: 144-159 From DECLARE to Petri nets:

Johannes Prescher, Claudio Di Ciccio, Jan Mendling: From Declarative Processes to Imperative Models. SIMPDA 2014: 162-173

More: First steps towards data awareness of discovered DECLARE models:

Stefan Schönig, Claudio Di Ciccio, Fabrizio Maria Maggi, Jan Mendling: Discovery of Multi-perspective Declarative Process Models. ICSOC 2016: 87-103

Against the little learnibility of DECLARE: Michael Hanser, Claudio Di Ciccio, Jan Mendling: A New Notational Framework for Declarative Process Modeling.

Softwaretechnik-Trends 36(2) (2016) Guarantee of the significance of discovered DECLARE models:

Fabrizio Maria Maggi, Marco Montali, Claudio Di Ciccio, Jan Mendling: Semantical Vacuity Detection in Declarative Process Mining. BPM 2016: 158-175SEITE 83

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Automated Discovery of Declarative Process Models

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