@article(Berardi:2019aa, author = {S. Berardi and M. Tatsuta}, year = {2019}, title = {Classical System of {M}artin-{L}of's Inductive Definitions is not Equivalent to Cyclic Proofs}, journal = {Logical Methods in Computer Science}, volume = {15}, number = {3}, doi = {10.23638/LMCS-15(3:10)2019}, ) @inproceedings(Brotherston:2005qy, author = {J. Brotherston}, year = {2005}, title = {Cyclic Proofs for First-Order Logic with Inductive Definitions}, booktitle = {Proceedings of {TABLEAUX-14}}, series = {LNAI}, volume = {3702}, publisher = {Springer-Verlag}, pages = {78--92}, doi = {10.1007/11554554_8}, ) @phdthesis(Brotherston:2006uy, author = {J. Brotherston}, year = {2006}, title = {Sequent Calculus Proof Systems for Inductive Definitions}, school = {University of Edinburgh}, ) @inproceedings(Brotherston:2012fk, author = {J. Brotherston and N. Gorogiannis and R. L. Petersen}, year = {2012}, title = {A Generic Cyclic Theorem Prover}, booktitle = {APLAS-10 (10th Asian Symposium on Programming Languages and Systems)}, series = {LNCS}, volume = {7705}, publisher = {Springer}, pages = {350--367}, doi = {10.1007/978-3-642-35182-2_25}, ) @article(Brotherston:2011fk, author = {J. Brotherston and A. Simpson}, year = {2011}, title = {Sequent calculi for induction and infinite descent}, journal = {Journal of Logic and Computation}, volume = {21}, number = {6}, pages = {1177--1216}, doi = {10.1093/logcom/exq052}, ) @article(Dershowitz:2007bf, author = {N. Dershowitz and G. Moser}, year = {2007}, title = {The {H}ydra Battle Revisited}, journal = {Rewriting, Computation and Proof}, pages = {1--27}, doi = {10.1007/978-3-540-73147-4\_1}, ) @article(Gentzen:1935fk, author = {G. Gentzen}, year = {1935}, title = {Untersuchungen {\"u}ber das logische {S}chlie{\ss}en. {I}}, journal = {Mathematische Zeitschrift}, volume = {39}, pages = {176--210}, doi = {10.1007/BF01201353}, ) @techreport(Michel:1988aa, author = {M. Michel}, year = {1988}, title = {Complementation is more difficult with automata on infinite words}, type = {Technical Report}, institution = {CNET}, ) @inproceedings(Stratulat:2017ac, author = {S. Stratulat}, year = {2017}, title = {Cyclic Proofs with Ordering Constraints}, editor = {R. A. Schmidt and C. Nalon}, booktitle = {TABLEAUX 2017 (26th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods)}, series = {LNAI}, volume = {10501}, publisher = {Springer}, pages = {311--327}, doi = {10.1007/978-3-319-66902-1_19}, ) @inproceedings(Stratulat:2018ab, author = {S. Stratulat}, year = {2018}, title = {Validating Back-links of {FOL}$_{\unhbox\voidb@x \hbox{\uppercase{{ID}}}}$ Cyclic Pre-proofs}, editor = {S. Berardi and S. van Bakel}, booktitle = {CL\&C'18 (Seventh International Workshop on Classical Logic and Computation)}, series = {{EPTCS}}, volume = {281}, pages = {39--53}, doi = {10.4204/EPTCS.281.4}, )