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Deductive Systems for Logic Programs with Counting

Published: November 24, 2025 | arXiv ID: 2511.19565v1

By: Jorge Fandinno, Vladimir Lifschitz

Potential Business Impact:

Makes computer programs with counting work the same.

Business Areas:
Natural Language Processing Artificial Intelligence, Data and Analytics, Software

In answer set programming, two groups of rules are considered strongly equivalent if they have the same meaning in any context. Strong equivalence of two programs can be sometimes established by deriving rules of each program from rules of the other in an appropriate deductive system. This paper shows how to extend this method of proving strong equivalence to programs containing the counting aggregate.

Page Count
42 pages

Category
Computer Science:
Logic in Computer Science