Range-Restricted and Horn Interpolation through Clausal Tableaux -- Non-Classical Logics in Satisfiability Modulo Theories -- DefTab: A Tableaux System for Sceptical Consequence in Default Modal Logics -- Non-distributive description logic -- A new calculus for intuitionistic Strong L\"ob logic: strong termination and cut-elimination, formalized -- Some Analytic Systems of Rules -- A cut-free, sound and complete Russellian theory of definite descriptions -- Towards Proof-Theoretic Formulation of the General Theory of Term-Forming Operators -- Lemmas: Generation, Selection, Application -- Machine-Learned Premise Selection for Lean -- gym-saturation: Gymnasium environments for saturation provers (System description) -- A linear perspective on cut-elimination for non-wellfounded sequent calculi with least and greatest fixed points -- Ill-founded Proof Systems For Intuitionistic Linear-time Temporal Logic -- Proof Systems for the Modal $\mu$-Calculus Obtained by Determinizing Automata -- Extensions of K5: Proof Theory and Uniform Lyndon Interpolation -- On intuitionistic diamonds (and lack thereof) -- NP Complexity for Combinations of Non-Normal Modal Logics -- Resolution-based Calculi for Non-Normal Modal Logics -- Canonicity of Proofs in Constructive Modal Logic -- Proof-theoretic Semantics for Intuitionistic Multiplicative Linear Logic -- The MaxSAT problem in the real-valued MV-algebra -- The Logic of Separation Logic: Models and Proofs -- Testing the Satisfiability of Formulas in Separation Logic with Permissions -- Nested Sequents for Quantified Modal Logics -- A Naive Prover for First-Order Logic: A Minimal Example of Analytic Completeness.

Open Access

This open access book constitutes the proceedings of the 32nd International Conference, TABLEAUX 2023, held in Prague, Czech Republic, during September 18–21, 2023.