The foundations of a class of logic programming systems with the expressive power of full first-order logic and a non-monotonic component is addressed. The underlying refutation m...
Marco A. Casanova, Ramiro A. de T. Guerreiro, Andr...
A logic LTD is defined, inspired by [37]. It is syntactically like basic modal logic with an additional unary operator but it has an interval-based semantics on structures with arb...
The ordered conjecture states that least fixed-point logic LFP is strictly more expressive than first-order logic FO on every infinite class of ordered finite structures. It has b...
We study the relationship between least and inflationary fixed-point logic. In 1986, Gurevich and Shelah proved that in the restriction to finite structures, the two logics have t...