A Grand Unified Theory of Decidability in Logic-Based Knowledge Representation

Projektinformationen

DeciGUT

ID Finanzhilfevereinbarung: 771779

DOI 10.3030/771779

EK-Unterschriftsdatum 13 März 2018

Startdatum 1 Oktober 2018

Enddatum 30 September 2024

Finanziert unter

• EXCELLENT SCIENCE - European Research Council (ERC)

Gesamtkosten € 1 814 937,00

EU-Beitrag € 1 814 937,00

Koordiniert durch

TECHNISCHE UNIVERSITAET DRESDEN
Germany

Ziel

"Logic-based knowledge representation (KR) constitutes a vital area of IT. The field inspires and guides scientific and technological developments enabling intelligent management of large and complex knowledge resources. Elaborate languages for specifying knowledge (so-called ontology languages) and querying it have been defined and standardized. Algorithms for automated reasoning and intelligent querying over knowledge resources are being developed, implemented and practically deployed on a wide scale.
Thereby, decidability investigations play a pivotal role to characterize what reasoning or querying tasks are at all computationally solvable.
Past decades have seen a proliferation of new decidable formalisms for KR, dominated by two major paradigms: description logics and rule-based approaches, most notably existential rules. Recently, these research lines have started to converge and first progress has been made toward identifying commonalities among the various formalisms. Still, the underlying principles for establishing their decidability remain disparate, ranging from proof-theoretic notions to model-theoretic ones.
DeciGUT will accomplish a major breakthrough in the field by establishing a ""Grand Unified Theory"" of decidability. We will provide a novel, powerful model-theoretic criterion inspired by advanced graph-theoretic notions. We will prove that the criterion indeed ensures decidability and that it subsumes most of (if not all) currently known decidable formalisms in the KR field.
We will exploit our results toward the definition of novel decidable KR languages of unprecedented expressivity. We will ultimately extend our framework to encompass more advanced KR features beyond standard first order logic such as counting and non-monotonic aspects.
Our research will draw from and significantly impact the scientific fields of AI, Database Theory and Logic, but also give rise to drastically improved practical information management technology."

Wissenschaftliches Gebiet

• natural sciences › computer and information sciences › knowledge engineering › ontology
• natural sciences › computer and information sciences › databases

Schlüsselbegriffe

• decidability
• existential rules
• description logics
• ontological query answering
• TGDs
• Datalog
• expressivity
• model theory

Programm/Programme

• H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme

Thema/Themen

• ERC-2017-COG - ERC Consolidator Grant

Aufforderung zur Vorschlagseinreichung

ERC-2017-COG

Finanzierungsplan

ERC-COG - Consolidator Grant

Gastgebende Einrichtung

TECHNISCHE UNIVERSITAET DRESDEN

• Netto-EU-Beitrag: € 1 814 937,00
• Adresse: HELMHOLTZSTRASSE 10 ; 01069 Dresden ; Deutschland
• Region: Sachsen › Dresden › Dresden, Kreisfreie Stadt
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: € 1 814 937,00

Begünstigte (1)

TECHNISCHE UNIVERSITAET DRESDEN

Deutschland

• Netto-EU-Beitrag: € 1 814 937,00
• Adresse: HELMHOLTZSTRASSE 10 ; 01069 Dresden
• Region: Sachsen › Dresden › Dresden, Kreisfreie Stadt
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: € 1 814 937,00