@article(andrekaEquationalTheoryKleene2011, author = {Hajnal Andréka and Szabolcs Mikulás and István Németi}, year = {2011}, title = {The equational theory of Kleene lattices}, journal = {Theoretical Computer Science}, volume = {412}, number = {52}, pages = {7099--7108}, doi = {10.1016/J.TCS.2011.09.024}, ) @article(bloomNotesEquationalTheories1995, author = {S. L. Bloom and Z. Ésik and Gh. Stefanescu}, year = {1995}, title = {Notes on equational theories of relations}, journal = {algebra universalis}, volume = {33}, number = {1}, pages = {98--126}, doi = {10.1007/BF01190768}, ) @book(Conway1971, author = {John H. Conway}, year = {1971}, title = {Regular Algebra and Finite Machines}, publisher = {Chapman and Hall}, ) @inproceedings(cookComplexityTheoremprovingProcedures1971, author = {Stephen A. Cook}, year = {1971}, title = {The complexity of theorem-proving procedures}, booktitle = {STOC}, publisher = {ACM}, pages = {151–158}, doi = {10.1145/800157.805047}, ) @article(Hunt1976, author = {Hunt III, Harry B. and Daniel J. Rosenkrantz and Thomas G. Szymanski}, year = {1976}, title = {On the equivalence, containment, and covering problems for the regular and context-free languages}, journal = {Journal of Computer and System Sciences}, volume = {12}, number = {2}, pages = {222--268}, doi = {10.1016/S0022-0000(76)80038-4}, ) @techreport(kleeneRepresentationEventsNerve1951, author = {S. C. Kleene}, year = {1951}, title = {Representation of Events in Nerve Nets and Finite Automata}, type = {Technical Report}, institution = {RAND Corporation}, url = {https://www.rand.org/pubs/research_memoranda/RM704.html}, ) @inproceedings(kozenKleeneAlgebraTests1996, author = {Dexter Kozen and Frederick Smith}, year = {1996}, title = {{Kleene} algebra with tests: Completeness and decidability}, booktitle = {CSL}, series = {LNCS}, volume = {1258}, publisher = {Springer}, pages = {244--259}, doi = {10.1007/3-540-63172-0_43}, ) @inproceedings(meyerEquivalenceProblemRegular1972, author = {A. R. Meyer and L. J. Stockmeyer}, year = {1972}, title = {The equivalence problem for regular expressions with squaring requires exponential space}, booktitle = {SWAT}, publisher = {IEEE}, pages = {125--129}, doi = {10.1109/SWAT.1972.29}, ) @inproceedings(nakamuraExistentialCalculiRelations2023, author = {Yoshiki Nakamura}, year = {2023}, title = {Existential Calculi of Relations with Transitive Closure: Complexity and Edge Saturations}, booktitle = {LICS}, publisher = {IEEE}, pages = {1--13}, doi = {10.1109/LICS56636.2023.10175811}, ) @phdthesis(ngRelationAlgebrasTransitive1984, author = {Kan Ching Ng}, year = {1984}, title = {Relation algebras with transitive closure}, school = {University of California}, ) @inproceedings(pousCompletenessTheoremsKleene2022, author = {Damien Pous and Jana Wagemaker}, year = {2022}, title = {Completeness Theorems for Kleene Algebra with Top}, booktitle = {CONCUR}, volume = {243}, publisher = {Schloss Dagstuhl}, pages = {26:1--26:18}, doi = {10.4230/LIPICS.CONCUR.2022.26}, ) @inproceedings(Meyer1973, author = {Larry J. Stockmeyer and Albert R. Meyer}, year = {1973}, title = {Word problems requiring exponential time (Preliminary Report)}, booktitle = {STOC}, publisher = {ACM}, pages = {1--9}, doi = {10.1145/800125.804029}, ) @article(Tarski1941, author = {Alfred Tarski}, year = {1941}, title = {On the Calculus of Relations}, journal = {The Journal of Symbolic Logic}, volume = {6}, number = {3}, pages = {73--89}, doi = {10.2307/2268577}, ) @article(thompsonProgrammingTechniquesRegular1968, author = {Ken Thompson}, year = {1968}, title = {Programming Techniques: Regular expression search algorithm}, journal = {Communications of the ACM}, volume = {11}, number = {6}, pages = {419--422}, doi = {10.1145/363347.363387}, )