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Summary of Recursive Aggregates As Intensional Functions in Answer Set Programming: Semantics and Strong Equivalence, by Jorge Fandinno and Zachary Hansen


Recursive Aggregates as Intensional Functions in Answer Set Programming: Semantics and Strong Equivalence

by Jorge Fandinno, Zachary Hansen

First submitted to arxiv on: 14 Dec 2024

Categories

  • Main: Artificial Intelligence (cs.AI)
  • Secondary: Logic in Computer Science (cs.LO)

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GrooveSquid.com Paper Summaries

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
The paper presents a novel approach to characterizing the semantics of programs with aggregates implemented by clingo and dlv solvers. By viewing these programs through the lens of extended First-Order formulas with intensional functions in the logic of Here-and-There, researchers can study the strong equivalence of programs with aggregates under either semantics. This framework also enables a reduction of the task of checking strong equivalence to classical First-Order logic, paving the way for automated reasoning procedures.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper helps us understand how computer programs work better by showing that certain types of problems can be solved using a special kind of math called Here-and-There logic. It’s like a puzzle where we figure out if two programs are really the same or just seem the same. The math is complicated, but it allows us to simplify some difficult problems and make computers do things more efficiently.

Keywords

» Artificial intelligence  » Semantics