Henning Basold, Ekaterina Komendantskaya & Yue Li (2019):
Coinduction in Uniform: Foundations for Corecursive Proof Search with Horn Clauses.
Lecture Notes in Computer Science,
pp. 783–813,
doi:10.1007/978-3-030-17184-1_28.
Nikolaj Bjørner, Kenneth McMillan & Andrey Rybalchenko (2012):
Program Verification as Satisfiability Modulo Theories.
In: Pascal Fontaine & Amit Goel: SMT 2012. 10th International Workshop on Satisfiability Modulo Theories,
EPiC Series in Computing 20.
EasyChair,
pp. 3–11,
doi:10.29007/1l7f.
Christopher H. Broadbent, Arnaud Carayol, C.-H. Luke Ong & Olivier Serre (2010):
Recursion Schemes and Logical Reflection.
In: Proceedings of the 25th Annual IEEE Symposium on Logic in Computer Science, LICS 2010, 11-14 July 2010, Edinburgh, United Kingdom.
IEEE Computer Society,
pp. 120–129,
doi:10.1109/LICS.2010.40.
Available at https://hal.archives-ouvertes.fr/hal-00479818.
Toby Cathcart Burn, C.-H. Luke Ong & Steven J. Ramsay (2017):
Higher-order Constrained Horn Clauses for Verification.
Proc. ACM Program. Lang. 2(POPL),
pp. 11:1–11:28,
doi:10.1145/3158099.
Pierre Clairambault & Andrzej S. Murawski (2013):
Böhm Trees as Higher-Order Recursive Schemes.
In: Anil Seth & Nisheeth K. Vishnoi: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2013),
Leibniz International Proceedings in Informatics (LIPIcs) 24.
Schloss Dagstuhl–Leibniz-Zentrum für Informatik,
Dagstuhl, Germany,
pp. 91–102,
doi:10.4230/LIPIcs.FSTTCS.2013.91.
Khalil Djelloul, Thi-Bich-Hanh Dao & Thom Frühwirth (2008):
Theory of finite or infinite trees revisited.
Theory Pract. Log. Program. 8(04),
pp. 431–489,
doi:10.1017/S1471068407003171.
Available at https://arxiv.org/abs/0706.4323.
Joxan Jaffar & Peter J. Stuckey (1986):
Semantics of infinite tree logic programming.
Theor. Comput. Sci. 46,
pp. 141–158,
doi:10.1016/0304-3975(86)90027-7.
Naoki Kobayashi, Étienne Lozes & Florian Bruse (2017):
On the Relationship between Higher-Order Recursion Schemes and Higher-Order Fixpoint Logic.
In: Proceedings of the 44th ACM SIGPLAN Symposium on Principles of Programming Languages,
POPL 2017.
Association for Computing Machinery,
New York, NY, USA,
pp. 246–259,
doi:10.1145/3009837.3009854.
Naoki Kobayashi & C.-H. Luke Ong (2009):
A Type System Equivalent to the Modal Mu-Calculus Model Checking of Higher-Order Recursion Schemes.
In: Proceedings of the 24th Annual IEEE Symposium on Logic in Computer Science, LICS 2009, 11-14 August 2009, Los Angeles, CA, USA.
IEEE Computer Society,
pp. 179–188,
doi:10.1109/LICS.2009.29.
Available at https://www-kb.is.s.u-tokyo.ac.jp/~koba/papers/hors-type.pdf.
Naoki Kobayashi, Takeshi Tsukada & Keiichi Watanabe (2018):
Higher-Order Program Verification via HFL Model Checking.
In: Amal Ahmed: Programming Languages and Systems.
Springer International Publishing,
Cham,
pp. 711–738,
doi:10.1007/978-3-319-89884-1_25.
Available at https://arxiv.org/abs/1710.08614.
Ekaterina Komendantskaya & Yue Li (2017):
Productive corecursion in logic programming.
Theory and Practice of Logic Programming 17(5-6),
pp. 906–923,
doi:10.1017/S147106841700028X.
Available at http://arxiv.org/abs/1707.01541.
Ekaterina Komendantskaya & Yue Li (2018):
Towards Coinductive Theory Exploration in Horn Clause Logic: Position Paper.
In: Temesghen Kahsai & German Vidal: Proceedings 5th Workshop on Horn Clauses for Verification and Synthesis, Oxford, UK, 13th July 2018,
Electronic Proceedings in Theoretical Computer Science 278.
Open Publishing Association,
pp. 27–33,
doi:10.4204/EPTCS.278.5.
Ekaterina Komendantskaya, John Power & Martin Schmidt (2016):
Coalgebraic logic programming: from Semantics to Implementation.
Journal of Logic and Computation 26(2),
pp. 745–783,
doi:10.1093/logcom/exu026.
Available at https://arxiv.org/abs/1312.6568.
C.-H. Luke Ong & Dominik Wagner (2019):
HoCHC: A Refutationally Complete and Semantically Invariant System of Higher-order Logic Modulo Theories.
In: 2019 34th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS),
pp. 1–14,
doi:10.1109/LICS.2019.8785784.
Available at https://arxiv.org/abs/1902.10396.
Long Pham, Steven J. Ramsay & C.-H. Luke Ong (2018):
Defunctionalization of Higher-Order Constrained Horn Clauses.
CoRR abs/1810.03598.
Available at http://arxiv.org/abs/1810.03598.
Mahesh Viswanathan & Ramesh Viswanathan (2004):
A Higher Order Modal Fixed Point Logic.
In: Philippa Gardner & Nobuko Yoshida: CONCUR 2004 - Concurrency Theory.
Springer Berlin Heidelberg,
Berlin, Heidelberg,
pp. 512–528,
doi:10.1007/978-3-540-28644-8_33.
Available at http://vmahesh.cs.illinois.edu/papers/concur04.pdf.
Fabian Zaiser & C.-H. Luke Ong (2020):
The Extended Theory of Trees and Algebraic (Co)datatypes.
Electronic Proceedings in Theoretical Computer Science 320,
pp. 167–196,
doi:10.4204/eptcs.320.14.