The theory of successor extended by several predicates

Severine Fratani (1, 2)

1 LIF - Laboratoire d'informatique Fondamentale de Marseille - UMR 6166
2 LaBRI - Laboratoire Bordelais de Recherche en Informatique

We present a method to define unary relations P1 , . . . , Pn such that the Monadic Second-Order theory of the natural integers en- dowed with the successor relation and P1 , . . . , Pn is decidable. The main tool is a novel class of iterated pushdown automata whose transitions are controlled by tests on the store.

Domaines: Informatique et langage [cs.CL]

Severine Fratani. The theory of successor extended by several predicates. 2009. ⟨hal-00379251v1⟩