@InProceedings{aoto_et_al:LIPIcs.FSCD.2024.31, author = {Aoto, Takahito and Nishida, Naoki and Sch\"{o}pf, Jonas}, title = {{Equational Theories and Validity for Logically Constrained Term Rewriting}}, booktitle = {9th International Conference on Formal Structures for Computation and Deduction (FSCD 2024)}, pages = {31:1--31:21}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-323-2}, ISSN = {1868-8969}, year = {2024}, volume = {299}, editor = {Rehof, Jakob}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2024.31}, URN = {urn:nbn:de:0030-drops-203607}, doi = {10.4230/LIPIcs.FSCD.2024.31}, annote = {Keywords: constrained equation, constrained equational theory, logically constrained term rewriting, algebraic semantics, consistency} }