We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
This paper deals with test case selection from axiomatic specifications whose axioms are quantifier-free first-order formulas with equality. We first prove the existence of an ide...
We are interested in the expressiveness of constraints represented by general first order formulae, with equality as unique relation symbol and function symbols taken from an infi...
We define a class of finite state automata acting on transfinite sequences, and use these automata to prove that no singular cardinal can be defined by a monadic second order formu...
In any nonstandard model of Peano arithmetic, the standard part is not first order definable. But we show that in some model the standard part is definable as the unique solution ...