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math.LO2004★ 3 cited
A generalized small model property for languages which force the infinity
Pietro Ursino
This paper deals with formulas of set theory which force the infinity. For such formulas, we provide a technique to infer satisfiability from a finite assignment.
math.LO2004
Formative processes with applications to the decision problem in set theory: II. powerset and singleton operators, finiteness predicate
Domenico Cantone, Pietro Ursino
In this paper we solve the satisfiability problem of an extended fragment of set computable theory which "forces the infinity" by a fruitful use of the witness small model property…