Non-deterministic approximation operators: ultimate operators, semi-equilibrium semantics and aggregates (full version)

05/18/2023
by   Jesse Heyninck, et al.
0

Approximation fixpoint theory (AFT) is an abstract and general algebraic framework for studying the semantics of non-monotonic logics. In recent work, AFT was generalized to non-deterministic operators, i.e. operators whose range are sets of elements rather than single elements. In this paper, we make three further contributions to non-deterministic AFT: (1) we define and study ultimate approximations of non-deterministic operators, (2) we give an algebraic formulation of the semi-equilibrium semantics by Amendola, et al., and (3) we generalize the characterisations of disjunctive logic programs to disjunctive logic programs with aggregates.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset