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IJCAI
1989
13 years 8 months ago
Logic Programming with General Clauses and Defaults Based on Model Elimination
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...
AIML
2008
13 years 9 months ago
Modal logic of time division
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...
Tero Tulenheimo
LICS
1999
IEEE
13 years 11 months ago
First-Order Logic vs. Fixed-Point Logic in Finite Set Theory
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...
Albert Atserias, Phokion G. Kolaitis
APAL
2004
87views more  APAL 2004»
13 years 7 months ago
Expressive equivalence of least and inflationary fixed-point logic
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...
Stephan Kreutzer