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CSL
2006
Springer
13 years 8 months ago
Decidable Theories of the Ordering of Natural Numbers with Unary Predicates
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...
Alexander Moshe Rabinovich, Wolfgang Thomas
IANDC
2007
133views more  IANDC 2007»
13 years 4 months ago
On decidability of monadic logic of order over the naturals extended by monadic predicates
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 ...
Alexander Rabinovich
TCS
2008
13 years 4 months ago
Constructibility and decidability versus domain independence and absoluteness
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 ...
Arnon Avron
FUIN
2010
158views more  FUIN 2010»
13 years 1 months ago
Cellular Automata, Decidability and Phasespace
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...
Klaus Sutner
JSYML
2007
80views more  JSYML 2007»
13 years 4 months ago
Theories very close to PA where Kreisel's Conjecture is false
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...
Pavel Hrubes