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19922026
most citedKnowledge Distillation: A Survey

3.8k citations

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27 papers · 1 filter

cs.LO2026

Fusions of One-Variable First-Order Modal Logics

Roman Kontchakov, Dmitry Shkatov, Frank Wolter

We investigate preservation results for the independent fusion of one-variable first-order modal logics. We show that, without equality, Kripke completeness and decidability of glo…

cs.LO2025

Logical Inferentialism & Attacks on Classical Logic

Khashayar Irani

This paper undertakes a foundational inquiry into logical inferentialism with particular emphasis on the normative standards it establishes and the implications these pose for clas…

cs.LO2023

Deciding the Existence of Interpolants and Definitions in First-Order Modal Logic

Agi Kurucz, Frank Wolter, Michael Zakharyaschev

None of the first-order modal logics between and under the constant domain semantics enjoys Craig interpolation or projective Beth definability, even in…

cs.LO2021★ 22 cited

Proof-Theoretic Semantics, a Problem with Negation and Prospects for Modality

Nils Kürbis

This paper discusses proof-theoretic semantics, the project of specifying the meanings of the logical constants in terms of rules of inference governing them. I concentrate on Mich…

cs.LO2020★ 13 cited

First-Order Rewritability of Ontology-Mediated Queries in Linear Temporal Logic

Alessandro Artale, Roman Kontchakov, Alisa Kovtunova +3

We investigate ontology-based data access to temporal data. We consider temporal ontologies given in linear temporal logic LTL interpreted over discrete time (Z,<). Queries are giv…

cs.LO2019

Data Complexity and Rewritability of Ontology-Mediated Queries in Metric Temporal Logic under the Event-Based Semantics (Full Version)

Vladislav Ryzhikov, Przemyslaw Andrzej Walega, Michael Zakharyaschev

We investigate the data complexity of answering queries mediated by metric temporal logic ontologies under the event-based semantics assuming that data instances are finite timed w…

cs.LO2019

A static higher-order dependency pair framework

Carsten Fuhs, Cynthia Kop

We revisit the static dependency pair method for proving termination of higher-order term rewriting and extend it in a number of ways: (1) We introduce a new rewrite formalism desi…

cs.LO2018

Separation Logic with Linearly Compositional Inductive Predicates and Set Data Constraints

Chong Gao, Taolue Chen, Zhilin Wu

We identify difference-bound set constraints (DBS), an analogy of difference-bound arithmetic constraints for sets. DBS can express not only set constraints but also arithmetic con…

cs.LO2018★ 2 cited

Domain and range for angelic and demonic compositions

Marcel Jackson, Szabolcs Mikulas

We give finite axiomatizations for the varieties generated by representable domain--range algebras when the semigroup operation is interpreted as angelic or demonic composition, re…

cs.LO2017★ 9 cited

Kripke Completeness of Strictly Positive Modal Logics over Meet-semilattices with Operators

Stanislav Kikot, Agi Kurucz, Yoshihito Tanaka +2

Our concern is the completeness problem for spi-logics, that is, sets of implications between strictly positive formulas built from propositional variables, conjunction and modal d…

cs.LO2017

Querying Log Data with Metric Temporal Logic (Technical Report)

Sebastian Brandt, Elem Güzel Kalaycı, Vladislav Ryzhikov +2

We propose a novel framework for ontology-based access to temporal log data using a datalog extension datalogMTL of a Horn fragment of the metric temporal logic MTL. We show that d…

cs.LO2016★ 3 cited

Theoretically Optimal Datalog Rewritings for OWL 2 QL Ontology-Mediated Queries

Meghyn Bienvenu, Stanislav Kikot, Roman Kontchakov +2

We show that, for OWL 2 QL ontology-mediated queries with (i) ontologies of bounded depth and conjunctive queries of bounded treewidth, (ii) ontologies of bounded depth and bounded…

cs.LO2016★ 27 cited

Horn Fragments of the Halpern-Shoham Interval Temporal Logic (Technical Report)

Davide Bresolin, Agi Kurucz, Emilio Muñoz-Velasco +3

We investigate the satisfiability problem for Horn fragments of the Halpern-Shoham interval temporal logic depending on the type (box or diamond) of the interval modal operators, t…

cs.LO2014★ 23 cited

A Robust Class of Data Languages and an Application to Learning

Benedikt Bollig, Peter Habermehl, Martin Leucker +1

We introduce session automata, an automata model to process data words, i.e., words over an infinite alphabet. Session automata support the notion of fresh data values, which are w…

cs.LO2014★ 35 cited

Verifying Procedural Programs via Constrained Rewriting Induction

Carsten Fuhs, Cynthia Kop, Naoki Nishida

This paper aims to develop a verification method for procedural programs via a transformation into Logically Constrained Term Rewriting Systems (LCTRSs). To this end, we extend tra…

cs.LO2014★ 257 cited

The DL-Lite Family and Relations

Alessandro Artale, Diego Calvanese, Roman Kontchakov +1

The recently introduced series of description logics under the common moniker DL-Lite has attracted attention of the description logic and semantic web communities due to the low c…

cs.LO2013★ 9 cited

On OBDDs for CNFs of bounded treewidth

Igor Razgon

In this paper we show that a CNF cannot be compiled into an Ordered Binary Decision Diagram (OBDD) of fixed-parameter size parameterized by the primal graph treewidth of the CNF. T…

cs.LO2013

The Complexity of Clausal Fragments of LTL

A. Artale, R. Kontchakov, V. Ryzhikov +1

We introduce and investigate a number of fragments of propo- sitional temporal logic LTL over the flow of time (Z, <). The fragments are defined in terms of the available temporal…

cs.LO2013★ 2 cited

Temporal Description Logic for Ontology-Based Data Access (Extended Version)

Alessandro Artale, Roman Kontchakov, Frank Wolter +1

Our aim is to investigate ontology-based data access over temporal data with validity time and ontologies capable of temporal conceptual modelling. To this end, we design a tempora…

cs.LO2013

Cliquewidth and Knowledge Compilation

Igor Razgon, Justyna Petke

In this paper we study the role of cliquewidth in succinct representation of Boolean functions. Our main statement is the following: Let be a Boolean circuit having cliquewidth…

cs.LO2012★ 232 cited

Taming the Infinite Chase: Query Answering under Expressive Integrity Constraints

Andrea Cali, Georg Gottlob, Michael Kifer

The chase algorithm is a fundamental tool for query evaluation and query containment under constraints, where the constraints are (sub-classes of) tuple-generating dependencies (TG…

cs.LO2012

A Cookbook for Temporal Conceptual Data Modelling with Description Logics

Alessandro Artale, Roman Kontchakov, Vladislav Ryzhikov +1

We design temporal description logics suitable for reasoning about temporal conceptual data models and investigate their computational complexity. Our formalisms are based on DL-Li…

cs.LO2012★ 8 cited

Exponential Lower Bounds and Separation for Query Rewriting

Stanislav Kikot, Roman Kontchakov, Vladimir Podolskii +1

We establish connections between the size of circuits and formulas computing monotone Boolean functions and the size of first-order and nonrecursive Datalog rewritings for conjunct…

cs.LO2011★ 11 cited

Topological Logics with Connectedness over Euclidean Spaces

Roman Kontchakov, Yavor Nenov, Ian Pratt-Hartmann +1

We consider the quantifier-free languages, Bc and Bc0, obtained by augmenting the signature of Boolean algebras with a unary predicate representing, respectively, the property of b…