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cs.LO2026
Equilibrium Semantics and Strong Equivalence for Higher-Order Logic Programs
Angelos Charalambidis, Giannos Chatziagapis, Babis Kostopoulos +1
One of the most significant achievements of equilibrium logic was the characterization of strong equivalence, a property crucial for program transformation and optimization in Answ…
cs.LO2025
A Category-Theoretic Perspective on Higher-Order Approximation Fixpoint Theory
Samuele Pollaci, Babis Kostopoulos, Marc Denecker +1
Approximation Fixpoint Theory (AFT) is an algebraic framework designed to study the semantics of non-monotonic logics. Despite its success, AFT is not readily applicable to higher-…
cs.LO2024
The Stable Model Semantics for Higher-Order Logic Programming
Bart Bogaerts, Angelos Charalambidis, Giannos Chatziagapis +3
We propose a stable model semantics for higher-order logic programs. Our semantics is developed using Approximation Fixpoint Theory (AFT), a powerful formalism that has successfull…