May 10, 2019 · A constraint network is qualitatively satisfiable if its nodes can be mapped to elements of a qualitative representation, preserving the constraints.

Jun 29, 2016 · Unlike ordinary composition, the weak composition arising from qualitative representations need not be associative, so we can generalise by ...

Dec 5, 2024 · The present work focusses on a natural family of combinatorially intriguing cases, that we find have nontrivial solution, and provide some novel ...

A constraint network is qualitatively satisfiable if its nodes can be mapped to elements of a qualitative representation, preserving the constraints. If a ...

ALGEBRAIC FOUNDATIONS FOR QUALITATIVE CALCULI AND NETWORKS. 3 x y z x y. Figure 2. Some relations between spatial regions of Figure 2, where region y is the ...

Qualitative calculi are algebraic languages used for qualitative constraint-based reasoning over relational knowledge.

Algebraic foundations for qualitative calculi and networks. 2019Theoretical Computer Science768:99-116 (18 pages)Elsevier BV. Co-authors Hirsch R, Jackson M ...

Sep 18, 2020 · In a nutshell, a qualitative calculus consists of two components: one symbolic and one semantic. The symbolic component is an abstract algebra ...

In this paper we identify the minimal requirements to binary spatio-temporal calculi and we discuss the relevance of the according axioms for representation and ...

Algebraic foundations for qualitative calculi and networks. Abstract. Binary Constraint Problems have traditionally been considered as Network Satisfaction ...