A note on the Declarative reading(s) of Logic Programming
Marc Denecker
Abstract
This paper analyses the declarative readings of logic programming. Logic programming - and negation as failure - has no unique declarative reading. One common view is that logic programming is a logic for default reasoning, a sub-formalism of default logic or autoepistemic logic. In this view, negation as failure is a modal operator. In an alternative view, a logic program is interpreted as a definition. In this view, negation as failure is classical objective negation. From a commonsense point of view, there is definitely a difference between these views. Surprisingly though, both types of declarative readings lead to grosso modo the same model semantics. This note investigates the causes for this.
Create a lesson
Related papers
Beyond LLM Judge: Mechanical Verification for Agentic Autoformalization
Anna Mei, Michael R. Douglas
Finite Satisfiability of Two-Variable Logic with Arbitrarily Many Successors
Artur Jeż, Jakub Michaliszyn, Piotr Witkowski
A Non-Dichotomy for CSPs of Stable ω-Categorical Structures
Manuel Bodirsky, David Bradley-Williams, Ehud Hrushovski et al.
Non-Wellfounded and Cyclic Proofs for LTL: A Syntactic Correspondence with Linear Nested Sequents
Tim S. Lyon, Lukas Zenger
Finite-on-Top-of-Temporal CSPs in Fixed-Point Logic
Manuel Bodirsky, Philipp A. Grzywaczyk
The Complexity of Verifying Strategic Abilities in Succinct Multiagent Systems
Yifan He, Munyque Mittelmann, Aniello Murano et al.