Strong Modular proof Assistance: Reasoning across Theories

A study of continuous vector representations for theorem proving

Author(s): StanisŁaw PurgaŁ, Julian Parsert, Cezary Kaliszyk
Published in: Journal of Logic and Computation, 2021, ISSN 0955-792X
Publisher: Oxford University Press
DOI: 10.1093/logcom/exab006

TacticToe: Learning to Prove with Tactics

Author(s): Thibault Gauthier, Cezary Kaliszyk, Josef Urban, Ramana Kumar, Michael Norrish
Published in: Journal of Automated Reasoning, Issue 65/2, 2021, Page(s) 257-286, ISSN 0168-7433
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10817-020-09580-x

Machine Learning Guidance for Connection Tableaux

Author(s): Michael Färber, Cezary Kaliszyk, Josef Urban
Published in: Journal of Automated Reasoning, Issue 65/2, 2021, Page(s) 287-320, ISSN 0168-7433
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10817-020-09576-7

Relaxed Weighted Path Order in Theorem Proving

Author(s): Jan Jakubův, Cezary Kaliszyk
Published in: Mathematics in Computer Science, Issue 14/3, 2020, Page(s) 657-670, ISSN 1661-8270
Publisher: Birkhauser Verlag
DOI: 10.1007/s11786-020-00474-0

Separability and randomness in free groups

Author(s): Michal Buran
Published in: J. Algebra, Issue 00218693, 2022, ISSN 0021-8693
Publisher: Academic Press
DOI: 10.1016/j.jalgebra.2021.12.041

Semantics of Mizar as an Isabelle Object Logic

Author(s): Cezary Kaliszyk, Karol Pąk
Published in: Journal of Automated Reasoning, Issue 63/3, 2019, Page(s) 557-595, ISSN 0168-7433
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10817-018-9479-z

Aligning concepts across proof assistant libraries

Author(s): Thibault Gauthier, Cezary Kaliszyk
Published in: Journal of Symbolic Computation, Issue 90, 2019, Page(s) 89-123, ISSN 0747-7171
Publisher: Academic Press
DOI: 10.1016/j.jsc.2018.04.005

IMP with exceptions over decorated logic

Author(s): Ekici , Burak
Published in: Discrete Mathematics and Theoretical Computer Science, Issue 14, 2018, ISSN 1365-8050
Publisher: Maison de l'informatique et des mathematiques discretes

Hammer for Coq: Automation for Dependent Type Theory

Author(s): Łukasz Czajka, Cezary Kaliszyk
Published in: Journal of Automated Reasoning, Issue 61/1-4, 2018, Page(s) 423-453, ISSN 0168-7433
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10817-018-9458-4

Verifying Bit-vector Invertibility Conditions in Coq (Extended Abstract)

Author(s): Burak Ekici, Arjun Viswanathan, Yoni Zohar, Clark Barrett, Cesare Tinelli
Published in: Electronic Proceedings in Theoretical Computer Science, Issue 301, 2019, Page(s) 18-26, ISSN 2075-2180
Publisher: EasyChair
DOI: 10.4204/EPTCS.301.4

Characteristic Subsets of SMT-LIB Benchmarks

Author(s): Jan Jakubuv, Mikolás Janota, Andrew Reynolds
Published in: Proceedings of the 19th International Workshop on Satisfiability Modulo Theories co-located with 33rd International Conference on Computer Aided Verification (CAV 2021), 2021
Publisher: CEUR-WS.org

Disambiguating Symbolic Expressions in Informal Documents

Author(s): Dennis Müller,Cezary Kaliszyk
Published in: 9th International Conference on Learning Representations, 2021
Publisher: OpenReview.net

Homotopy Type Theory in Isabelle

Author(s): Joshua Chen
Published in: 12th International Conference on Interactive Theorem Proving, 2021
Publisher: Schloss Dagstuhl
DOI: 10.4230/lipics.itp.2021.12

Lash 1.0 (System Description)

Author(s): Chad E. Brown, Cezary Kaliszyk
Published in: IJCAR 2022, 2022
Publisher: Springer
DOI: 10.1007/978-3-031-10769-6_21

Lazy Paramodulation in Practice

Author(s): Grzegorz Prusak and Cezary Kaliszyk
Published in: Proceedings of the Workshop on Practical Aspects of Automated Reasoning Co-located with the 11th International Joint Conference on Automated Reasoning (FLoC/IJCAR 2022), Haifa, Israel, August, 11 - 12, 2022, 2022
Publisher: CEUR-WS.org

Learning Higher-Order Logic Programs From Failures

Author(s): Stanislaw J. Purgal, David M. Cerna, Cezary Kaliszyk
Published in: IJCAI 2022, 2022
Publisher: ijcai.org
DOI: 10.24963/ijcai.2022/378

The Isabelle ENIGMA

Author(s): Zarathustra A. Goertzel, Jan Jakubův, Cezary Kaliszyk, Miroslav Olšák, Jelle Piepenbrock, Josef Urban
Published in: ITP 2022, 2022
Publisher: "Schloss Dagstuhl -- Leibniz-Zentrum f{\""u}r Informatik"
DOI: 10.4230/lipics.itp.2022.16

Faster Smarter Proof by Induction in Isabelle/HOL

Author(s): Yutaka Nagashima
Published in: IJCAI 2021, 2021, ISBN 978-0-9992411-9-6
Publisher: ijcai.org
DOI: 10.24963/ijcai.2021/273

TacticToe: Learning to Reason with HOL4 Tactics

Author(s): Thibault Gauthier, Cezary Kaliszyk, Josef Urban
Published in: EPiC Series in Computing volume 46, 2017, Page(s) 125-105
Publisher: EasyChair
DOI: 10.29007/ntlb

First Experiments with Neural Translation of Informal to Formal Mathematics

Author(s): Wang, Qingxiang; Kaliszyk, Cezary; Urban, Josef
Published in: Issue 2, 2018
Publisher: Springer

Goal-Oriented Conjecturing for Isabelle/HOL

Author(s): Nagashima, Yutaka; Parsert, Julian
Published in: Issue 1, 2018
Publisher: Springer

Concrete Semantics with Coq and CoqHammer

Author(s): Łukasz Czajka, Burak Ekici, Cezary Kaliszyk
Published in: 2018, Page(s) 53-59
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-96812-4_5

System Description: Statistical Parsing of Informalized Mizar Formulas

Author(s): Kaliszyk, Cezary; Urban, Josef; Vyskocil, Jiri
Published in: SYNASC 2017, Issue 6, 2017
Publisher: IEEE
DOI: 10.5281/zenodo.3407204

Automating Formalization by Statistical and Semantic Parsing of Mathematics

Author(s): Kaliszyk, Cezary; Urban, Josef; Vyskocil, Jirí
Published in: ITP 2017, Issue 7, 2017
Publisher: Springer

HolStep: A Machine Learning Dataset for Higher-order Logic Theorem Proving

Author(s): Kaliszyk, Cezary; Chollet, François; Szegedy, Christian
Published in: ICLR 2017, Issue 6, 2017
Publisher: Openreview.net

Can Neural Networks Learn Symbolic Rewriting?

Author(s): Piotrowski, Bartosz; Urban, Josef; Brown, Chad; Kaliszyk, Cezary
Published in: Issue 9, 2019
Publisher: Learning and Reasoning with Graph-Structured Representations ICML 2019 Workshop
DOI: 10.5281/zenodo.3407218

Towards Mac Lane's Comparison Theorem for the (co)Kleisli Construction in Coq

Author(s): Ekici, Burak
Published in: Issue 7, 2018
Publisher: Ceur-WS
DOI: 10.5281/zenodo.3407231

Reinforcement Learning of Theorem Proving

Author(s): Kaliszyk, Cezary; Urban, Josef; Michalewski, Henryk; Olšák, Mirek
Published in: NeurIPS 2018, Issue 12, 2018
Publisher: AAAI

Higher-Order Tarski Grothendieck as a Foundation for Formal Proof

Author(s): Chad E. Brown, Cezary Kaliszyk, Karol Pąk
Published in: 2019
Publisher: LIPIcs
DOI: 10.4230/lipics.itp.2019.9

Formal microeconomic foundations and the first welfare theorem

Author(s): Cezary Kaliszyk, Julian Parsert
Published in: Proceedings of the 7th ACM SIGPLAN International Conference on Certified Programs and Proofs - CPP 2018, 2018, Page(s) 91-101, ISBN 9781-450355865
Publisher: ACM Press
DOI: 10.1145/3167100

Deep Network Guided Proof Search

Author(s): Sarah Loos, Geoffrey Irving, Christian Szegedy, Cezary Kaliszyk
Published in: EPiC Series in Computing volume 46, 2017, Page(s) 85-63
Publisher: EasyChair
DOI: 10.29007/8mwc

Property Preserving Embedding of First-order Logic

Author(s): Julian Parsert, Stephanie Autherith, Cezary Kaliszyk
Published in: EPiC Series in Computing volume 72, 2020, Page(s) 70-56
Publisher: EasyChair
DOI: 10.29007/18t1

Exploration of neural machine translation in autoformalization of mathematics in Mizar

Author(s): Qingxiang Wang, Chad Brown, Cezary Kaliszyk, Josef Urban
Published in: Proceedings of the 9th ACM SIGPLAN International Conference on Certified Programs and Proofs, 2020, Page(s) 85-98, ISBN 9781-450370974
Publisher: ACM
DOI: 10.1145/3372885.3373827

Formalizing a Diophantine Representation of the Set of Prime Numbers

Author(s): Karol Pąk, Cezary Kaliszyk
Published in: ITP 2022, 2022
Publisher: "Schloss Dagstuhl -- Leibniz-Zentrum f{\""u}r Informatik"
DOI: 10.4230/lipics.itp.2022.26

Adversarial Learning to Reason in an Arbitrary Logic

Author(s): Stanisław J. Purgał, Cezary Kaliszyk
Published in: FLAIRS 2022, 2022
Publisher: LibraryPress@UF
DOI: 10.32473/flairs.v35i.130648

GeoLogic – Graphical Interactive Theorem Prover for Euclidean Geometry

Author(s): Miroslav Olšák
Published in: Mathematical Software – ICMS 2020 - 7th International Conference, Braunschweig, Germany, July 13–16, 2020, Proceedings, Issue 12097, 2020, Page(s) 263-271, ISBN 978-3-030-52199-8
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-52200-1_26

Learning Theorem Proving Components

Author(s): Karel Chvalovský, Jan Jakubův, Miroslav Olšák, Josef Urban
Published in: Automated Reasoning with Analytic Tableaux and Related Methods - 30th International Conference, TABLEAUX 2021, Birmingham, UK, September 6–9, 2021, Proceedings, Issue 12842, 2021, Page(s) 266-278, ISBN 978-3-030-86058-5
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-86059-2_16

The Role of Entropy in Guiding a Connection Prover

Author(s): Zsolt Zombori, Josef Urban, Miroslav Olšák
Published in: Automated Reasoning with Analytic Tableaux and Related Methods - 30th International Conference, TABLEAUX 2021, Birmingham, UK, September 6–9, 2021, Proceedings, Issue 12842, 2021, Page(s) 218-235, ISBN 978-3-030-86058-5
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-86059-2_13

Fast and Slow Enigmas and Parental Guidance

Author(s): Zarathustra A. Goertzel, Karel Chvalovský, Jan Jakubův, Miroslav Olšák, Josef Urban
Published in: Frontiers of Combining Systems - 13th International Symposium, FroCoS 2021, Birmingham, UK, September 8–10, 2021, Proceedings, Issue 12941, 2021, Page(s) 173-191, ISBN 978-3-030-86204-6
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-86205-3_10

Learning to Solve Geometric Construction Problems from Images

Author(s): Jaroslav Macke, Jiri Sedlar, Miroslav Olsak, Josef Urban, Josef Sivic
Published in: Intelligent Computer Mathematics - 14th International Conference, CICM 2021, Timisoara, Romania, July 26–31, 2021, Proceedings, Issue 12833, 2021, Page(s) 167-184, ISBN 978-3-030-81096-2
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-81097-9_14

Online Machine Learning Techniques for Coq: A Comparison

Author(s): Liao Zhang, Lasse Blaauwbroek, Bartosz Piotrowski, Prokop Černỳ, Cezary Kaliszyk, Josef Urban
Published in: Intelligent Computer Mathematics - 14th International Conference, CICM 2021, Timisoara, Romania, July 26–31, 2021, Proceedings, Issue 12833, 2021, Page(s) 67-83, ISBN 978-3-030-81096-2
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-81097-9_5

ENIGMA Anonymous: Symbol-Independent Inference Guiding Machine (System Description)

Author(s): Jan Jakubův, Karel Chvalovský, Miroslav Olšák, Bartosz Piotrowski, Martin Suda, Josef Urban
Published in: Automated Reasoning - 10th International Joint Conference, IJCAR 2020, Paris, France, July 1–4, 2020, Proceedings, Part II, Issue 12167, 2020, Page(s) 448-463, ISBN 978-3-030-51053-4
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-51054-1_29

Towards a Unified Ordering for Superposition-Based Automated Reasoning

Author(s): Jan Jakubův, Cezary Kaliszyk
Published in: Mathematical Software – ICMS 2018 - 6th International Conference, South Bend, IN, USA, July 24-27, 2018, Proceedings, Issue 10931, 2018, Page(s) 245-254, ISBN 978-3-319-96417-1
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-96418-8_29

Classification of Alignments Between Concepts of Formal Mathematical Systems

Author(s): Dennis Müller, Thibault Gauthier, Cezary Kaliszyk, Michael Kohlhase, Florian Rabe
Published in: Intelligent Computer Mathematics, Issue 10383, 2017, Page(s) 83-98, ISBN 978-3-319-62074-9
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-62075-6_7

Towards Formal Foundations for Game Theory

Author(s): Julian Parsert, Cezary Kaliszyk
Published in: Interactive Theorem Proving - 9th International Conference, ITP 2018, Held as Part of the Federated Logic Conference, FloC 2018, Oxford, UK, July 9-12, 2018, Proceedings, Issue 10895, 2018, Page(s) 495-503, ISBN 978-3-319-94820-1
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-94821-8_29

Certification of Nonclausal Connection Tableaux Proofs

Author(s): Michael Färber, Cezary Kaliszyk
Published in: Automated Reasoning with Analytic Tableaux and Related Methods - 28th International Conference, TABLEAUX 2019, London, UK, September 3-5, 2019, Proceedings, Issue 11714, 2019, Page(s) 21-38, ISBN 978-3-030-29025-2
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-29026-9_2

Presentation and Manipulation of Mizar Properties in an Isabelle Object Logic

Author(s): Cezary Kaliszyk, Karol Pąk
Published in: Intelligent Computer Mathematics, Issue 10383, 2017, Page(s) 193-207, ISBN 978-3-319-62074-9
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-62075-6_14

Isabelle Formalization of Set Theoretic Structures and Set Comprehensions

Author(s): Cezary Kaliszyk, Karol Pąk
Published in: Mathematical Aspects of Computer and Information Sciences, Issue 10693, 2017, Page(s) 163-178, ISBN 978-3-319-72452-2
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-72453-9_12

Monte Carlo Tableau Proof Search

Author(s): Michael Färber, Cezary Kaliszyk, Josef Urban
Published in: Automated Deduction – CADE 26, Issue 10395, 2017, Page(s) 563-579, ISBN 978-3-319-63045-8
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-63046-5_34

GRUNGE: A Grand Unified ATP Challenge

Author(s): Chad E. Brown, Thibault Gauthier, Cezary Kaliszyk, Geoff Sutcliffe, Josef Urban
Published in: Automated Deduction – CADE 27 - 27th International Conference on Automated Deduction, Natal, Brazil, August 27–30, 2019, Proceedings, Issue 11716, 2019, Page(s) 123-141, ISBN 978-3-030-29435-9
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-29436-6_8

Towards Finding Longer Proofs

Author(s): Zsolt Zombori, Adrián Csiszárik, Henryk Michalewski, Cezary Kaliszyk, Josef Urban
Published in: Automated Reasoning with Analytic Tableaux and Related Methods - 30th International Conference, TABLEAUX 2021, Birmingham, UK, September 6–9, 2021, Proceedings, Issue 12842, 2021, Page(s) 167-186, ISBN 978-3-030-86058-5
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-86059-2_10

JEFL: Joint Embedding of Formal Proof Libraries

Author(s): Qingxiang Wang, Cezary Kaliszyk
Published in: Frontiers of Combining Systems - 13th International Symposium, FroCoS 2021, Birmingham, UK, September 8–10, 2021, Proceedings, Issue 12941, 2021, Page(s) 154-170, ISBN 978-3-030-86204-6
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-86205-3_9

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