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Fibration
esp

Kaen

Fib rational
for

bisim

fibr

for

observability

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like notions

structures

density Lifting

Canonical functor lifting based on
observations
Codensiey Bi similarity Games
Usage 1Komorida+, lics19

Usage2

LogicsExpressivity of Modal
Komorida+, preprintReferences
51

Katsunata

Sato

Sprunger

KatsumataDubuc

Komori da

Katsumata

Hu

CALCO

Hasso

CMC 5181

Klin

Masao

LICS 19 I

Komori da
Jacobs

KatsumataHasuo

Kapke Rot

preprint IFibration
Ref

Categorical Logic
Bare Jacobs 1999

We focusonType Theory
Elsevier

fibration.rs

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Fibration
Kaenesp

Fib rational
forbisim

fibr

for

observability

Coinduction
like notions

structures

density Lifting

Canonical functor lifting based on
observations
Codensiey Bi similarity Games
Usage 1
Komorida+, lics19

Usage2

LogicsExpressivity of Modal
Komorida+, preprintFibrationalThe

Co induction[Hermida, Jacobs, I&C’98][Bonchi, Petrisan, Pous, Rot, Acta Inf.’17][Hasuo, Kataoka, Cho, MSCS’18][Komorida, Katsumata, Hu, Klin, Hasuo,
LICS’19][Kupke, Rot, CSL’20]

observability defined bycoalgebraic behaviors

with respectTohowweobserve

specified byF GIE

tp
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metricOutline
Fibration
Kaenesp

Fib rationalforbisimfibr

forobservability

Coinduction
like notions

structures

density Lifting

Canonical functor lifting based on
observations
Codensiey Bi similarity Games
Usage 1
Komorida+, lics19

Usage2

LogicsExpressivity of Modal
Komorida+, preprint

Codensiey Lifting

History[Katsumata & Sato, CALCO'15]:
introduction[Sprunger, Katsumata, Dubut, Hasuo, CMCS'18]:
elaboration[Komorida, Katsumata, Hu, Klin, Hasuo, LICS'19]:
intuitions and combination with games

Related Topics
Ioptop lifting
Kantorovich

Abadi 007lifting

Special case forfib models
for 7 calculi

Baldan Borch's Kerstan

Konig
Meti
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Lincs 181

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language topology

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imagining
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ult Fa't

pf

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is genf.cl aif.Yeptedf

bywe zOutline
Fibration
Kaenesp

Fib rational
forbisimfibrforobservability

Coinduction
like notions

structures

density Lifting

Canonical functor lifting based onobservations
Codensiey Bi similarity Games
Usage 1
Komorida+, lics19

Usage2

LogicsExpressivity of Modal
Komorida+, preprintBisimilarizy Games
ConventionallyPosplayerpossiblexSpoiler

3yw

3 uhw

claimingaz

any

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where
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3 93
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for probabil bi similarityany

Pr x Z
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Panangaden, I&C’19]

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ExamplesExamplesExamplesOutline
Fibration
Kaenesp

Fib rational
forbisim

fibr

for

observability

Coinduction
like notions

structures

density Lifting

Canonical functor lifting based onobservations
Codensiey Bi similarity Games
Usage 1
Komorida+, lics19

Usage2

LogicsExpressivity of Modal
Komorida+, preprint

Expressivitt adequacy
aTythatthlyexpressivity
For bisim

dbis

metricxyadequacyI

dbsxy

expressivity

Rees[Koenig, Mika-Michalski, CONCUR’18][Wild, Schröder, Pattinson, König, LICS’18 & IJCAI’19][Clerc, Fijalkow, Klin, Panangaden, I&C’19](Technical details omitted... Stay tuned for our forthcoming paper!)Outline
Fibration
Kaenesp

Fib rational
forbisimfibr

forobservability

Coinduction
like notions

structures

density Lifting

Canonical functor lifting based on
observations
Codensiey Bi similarity Games
Usage 1
Komorida+, lics19

Usage2

LogicsExpressivity of Modal
Komorida+, preprint

Other Recent Lines of Work• Search-based testing by stochastic optimization andlogic[EMSOFT'18, CAV'19]• Martingales and automated analysis of probabilistic
programs [TACAS'19]• Monitoring by (parametric) timed automata[EMSOFT'18, ICECCS'18, CAV'19]• Relational extension of differential dynamic logic[TACAS'20]• Weighted-automata extraction from recurrent neuralnetworks[AAAI'20]