Timeless Machines: Computability Across Eras by Brattka, Vasco; Fernau, Henning; Galeotti, Lorenzo;

Long description:

This book constitutes the refereed proceedings of the 22nd Conference on Timeless Machines: Computability Across Eras, CiE 2026, held in Trier, Germany, during July 27–31, 2026.

The 30 full papers included in this book were carefully reviewed and selected from 57 submissions. The conference had six special sessions: Learning Theory Meets Computability Theory; Groups and Computability; At the Borderline of Universality; Natural Computation and Bioinformatics; Quantum Computing and Information; and the History and Philosophy of Computing.

Additionally the main proceedings includes 6 full papers and the front matter contains 16 abstracts that derive from the invited talks, tutorials, and special sessions.

Table of Contents:

.- Invited Papers.

.- The CDSAT Method for Satisfiability Modulo Theories and Assignment: an Exposition.

.- Effective second countability in computable analysis.

.- Towards a Computational Quantum Logic: An Overview of an Ongoing Research Program.

.- Represented spaces of represented spaces.

.- Computation with Real Numbers and Continuous-Time Dynamical Systems.

.- Proof-Carrying Neuro-Symbolic Code.

.- Uniform Functional Interpretations.

.- Computable Analysis for Extraction of Certified Programs and its Applications.

.- Contributed Papers.

.- The existence of primitive recursive structures.

.- Space-bounded online Kolmogorov complexity is additive.

.- On learning existentially definable subsets in a computable structure.

.- Transfinite structured programming.

.- Computability of Real Functions with Oracle Pointer Machines implies Real-Time simulation of Chemical Reaction Networks.

.- Computability of Initial Value Problems.

.- Full generalized effective reducibility.

.- On S-Degrees of some Representations of Irrational Numbers.

.- Circuit metaconstruction in logspace for Rice-like complexity lower bounds in ANs and SGRs.

.- Binary Expansions of Regular Reals and Reordered Computable Numbers.

.- Properties of Range Sets of Continuous Functions in Reverse Mathematics.

.- The theory of reachability of trace-pushdown systems.

.- A point to set principle for finite-state dimension and relativized equidistribution porperties.

.- Some structural complexity results for $\exists \mathbb R$.

.- On the computational power of C-random strings.

.- Generalized learnability of stochastic principles.

.- Computably discrete represented spaces.

.- Multidimensional tilings and MSO logic.

.- Injectivity of polynomials over finite discrete dynamical systems.

.- Weihrauch problems as containers.

.- On the reverse mathematics of cut-elimination and determinacy.

.- $L {\omega\omega}$, $L {\omega 1\omega}$, and Wadge hierarchy.

.- Ordinal Invariants of the $h$-Preorder on $k$-Labeled Forests.

.- Completeness theorems for modal logic in second-order arithmetic.

.- Variants of Solovay reducibility.

.- Constructive Analysis of Maximal Ideals in Z[X] by the Material Interpretation.

.- Alternation-Bounded Semi-Unbounded Fan-in Cascading Circuits and the Complementation Closure Property.