Algebraical fixpoint theory is an invaluable instrument for studying semantics of logics. For example, all major semantics of logic programming, autoepistemic logic, default logic and more recently, abstract argumentation have been shown to be induced by the different types of fixpoints defined in approximation fixpoint theory (AFT). In this paper, we add a new type of fixpoint to AFT: a grounded fixpoint of lattice operator O : L → L is defined as a lattice element x ∈ L such that O(x) = x and for all v ∈ L such that O(v ∧ x) ≤ v, it holds that x ≤ v. On the algebraical level, we show that all grounded fixpoints are minimal fixpoints approximated by the well-founded fixpoint and that all stable fixpoints are grounded. On the logical level,...
In this paper we study fixpoints of operators on lattices and bilattices in a systematic and princip...
The variety of semantical approaches that have been invented for logic programs is quite broad, draw...
It is well known that, under certain conditions, it is possible to split logic programs under stable...
Algebraical fixpoint theory is an invaluable instrument for studying semantics of logics. For exampl...
Algebraical fixpoint theory is an invaluable instrument for studying semantics of logics. For exampl...
Approximation fixpoint theory (AFT) is an algebraical study of fixpoints of lattice operators. This ...
In various domains of logic, researchers have made use of a similar intuition: that facts (or models...
In the field of knowledge representation and reasoning, many different logics are developed. Often, ...
In the field of knowledge representation and reasoning, many different logics are developed. Often, ...
Approximation Fixpoint Theory was developed as a fixpoint theory of lattice operators that provides ...
AbstractThe variety of semantical approaches that have been invented for logic programs is quite bro...
Abstract. We introduce the fixpoint definitions, which is a reformula-tion of fixpoint logic constru...
In this paper we study fixpoints of operators on lattices and bilattices in a systematic and princip...
© 2017 Elsevier B.V. Active integrity constraints (AICs) constitute a formalism to associate with a ...
We present {\em Approximation theory}, an extension of Tarski's least fixpoint theory for nonmonoton...
In this paper we study fixpoints of operators on lattices and bilattices in a systematic and princip...
The variety of semantical approaches that have been invented for logic programs is quite broad, draw...
It is well known that, under certain conditions, it is possible to split logic programs under stable...
Algebraical fixpoint theory is an invaluable instrument for studying semantics of logics. For exampl...
Algebraical fixpoint theory is an invaluable instrument for studying semantics of logics. For exampl...
Approximation fixpoint theory (AFT) is an algebraical study of fixpoints of lattice operators. This ...
In various domains of logic, researchers have made use of a similar intuition: that facts (or models...
In the field of knowledge representation and reasoning, many different logics are developed. Often, ...
In the field of knowledge representation and reasoning, many different logics are developed. Often, ...
Approximation Fixpoint Theory was developed as a fixpoint theory of lattice operators that provides ...
AbstractThe variety of semantical approaches that have been invented for logic programs is quite bro...
Abstract. We introduce the fixpoint definitions, which is a reformula-tion of fixpoint logic constru...
In this paper we study fixpoints of operators on lattices and bilattices in a systematic and princip...
© 2017 Elsevier B.V. Active integrity constraints (AICs) constitute a formalism to associate with a ...
We present {\em Approximation theory}, an extension of Tarski's least fixpoint theory for nonmonoton...
In this paper we study fixpoints of operators on lattices and bilattices in a systematic and princip...
The variety of semantical approaches that have been invented for logic programs is quite broad, draw...
It is well known that, under certain conditions, it is possible to split logic programs under stable...