Abstract
Relational structures of the form (X, R 1,R 2), with R 1 ⫅R 2 ⫅ X × X, R 1 being a poset interpreted as causality, R 2 being interpreted as ‘not later than’ or ‘weak causality’ relation, are considered. Szpilrajn's theorem that each poset is the intersection of its total extensions is generalised to such structures; the interpretation and applications of the results obtained are discussed.
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