Propositional Logic, Modal Logic and Temporal Logic Definition The syntax of propositional logics is defined as φ ::= p | ¬φ | φ ∨ φ | φ ∧ φ where p ranges over a (finite) set of atomic propositions AP. The semantics is given by truth tables, e.g., for p ∧ q: ∧ > ⊥ > > ⊥ ⊥ ⊥ ⊥ Propositional Logic, Modal Logic and Temporal Logic Definition The syntax of propositional logics is defined as φ ::= p...

Abduction is a form of nonmonotonic reasoning that looks for an explanation for an observed manifestation according to some knowledge base. One form of the abduction problem studied in the literature is the propositional abduction problem parameterized by a structure Γ over the two-element domain. In that case, the knowledge base is a set of constraints over Γ, the manifestation and explanation...