This volume contains 37 invited research papers collected in memory of Dieter Rödding, who is known for his work on the classification of recursive functions, on reduction classes, on the spectrum problem and on the complexity of cardinality quantifiers in predicate logic and in arithmetical hierarchy. He was one of the first to pursue the interaction of logic and computer science. The volume reflects the wide spectrum of Dieter Rödding's scientific interests.
Table of ContentsMinimal pairs for polynomial time reducibilities.- Primitive recursive word-functions of one variable.- Existential fixed-point logic.- Unsolvable decision problems for PROLOG programs.- You have not understood a sentence, unless you can prove it.- On the minimality of K, F, and D or: Why löten is non-trivial.- A 5-color-extension-theorem.- Closure relations, Buchberger's algorithm, and polynomials in infinitely many variables.- The benefit of microworlds in learning computer programming.- Skolem normal forms concerning the least fixpoint.- Spectral representation of recursively enumerable and coenumerable predicates.- Aggregating inductive expertise on partial recursive functions.- Domino threads and complexity.- Modelling of cooperative processes.- A setting for generalized computability.- First-order spectra with one variable.- On the early history of register machines.- Randomness, provability, and the separation of Monte Carlo Time and space.- Representation independent query and update operations on propositional definite Horn formulas.- Direct construction of mutually orthogonal latin squares.- Negative results about the length problem.- Some results on the complexity of powers.- The Turing complexity of AF C*-algebras with lattice-ordered KO.- Remarks on SASL and the verification of functional programming languages.- Numerical stability of simple geometric algorithms in the plane.- Communication with concurrent systems via I/0-procedures.- A class of exp-time machines which can be simulated by polytape machines.- ???-Automata realizing preferences.- Ein einfaches Verfahren zur Normalisierung unendlicher Herleitungen.- Grammars for terms and automata.- Relative konsistenz.- Segment translation systems.- First steps towards a theory of complexity over more general data structures.- On the power of single-valued nondeterministic polynomial time computations.- A concatenation game and the dot-depth hierarchy.- Do there exist languages with an arbitrarily small amount of context-sensitivity?.- The complexity of symmetric boolean functions.