This volume, LNAI 13385, constitutes the refereed proceedings of the 11th International Joint Conference on Automated Reasoning, IJCAR 2022, held in Haifa, Israel, in August 2022. The 32 full research papers and 9 short papers presented together with two invited talks were carefully reviewed and selected from 85 submissions. The papers focus on the following topics: Satisfiability, SMT Solving,Arithmetic; Calculi and Orderings; Knowledge Representation and Jutsification; Choices, Invariance, Substitutions and Formalization; Modal Logics; Proofs System and Proofs Search; Evolution, Termination and Decision Prolems. This is an open access book.

This book constitutes the proceedings of the 16th International Conference on Tests and Proofs, TAP 2022, which was held as part of Software Technologies: Applications and Foundations, STAF 2022, and took place in Nantes, France in July 2022.The 6 full papers together with 1 invited extended abstract included in this volume were carefully reviewed and selected from 11 submissions. They were organized in topical sections on formal analysis, and proofs, and effective testing.