Abstract. Expansions of the natural number ordering by unary predicates are studied, using logics which in expressive power are located between first-order and monadic second-order...
A fundamental result of Büchi states that the set of monadic second-order formulas true in the structure (Nat, <) is decidable. A natural question is: what monadic predicates ...
We develop a unified framework for dealing with constructibility and absoluteness in set theory, decidability of relations in effective structures (like the natural numbers), and ...
Abstract. Cellular automata have rich computational properties and, at the same time, provide plausible models of physics-like computation. We study decidability issues in the phas...
We give four examples of theories in which Kreisel’s Conjecture is false: (1) the theory PA(-) obtained by adding a function symbol minus, ‘−’, to the language of PA, and t...