Applying incremental answer set solving to product configuration

Comploi-Taupe, Richard; Francescutto, Giulia; Schenner, Gottfried

doi:10.1145/3503229.3547069

Cited by 3 publications

(1 citation statement)

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“…• the House Configuration and Reconfiguration problem (Friedrich et al 2011), • the Organized Monkey Village (Reger, Suda, and Voronkov 2016) • the Rack problem (Feinerer, Salzer, and Sisel 2011;Comploi-Taupe, Francescutto, and Schenner 2022),…”

Section: Pigeonhole Problemmentioning

confidence: 99%

Using Symmetries to Lift Satisfiability Checking

Carbonnelle,

Schenner,

Bruynooghe

et al. 2024

AAAI

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We analyze how symmetries can be used to compress structures (also known as interpretations) onto a smaller domain without loss of information. This analysis suggests the possibility to solve satisfiability problems in the compressed domain for better performance. Thus, we propose a 2-step novel method: (i) the sentence to be satisfied is automatically translated into an equisatisfiable sentence over a ``lifted'' vocabulary that allows domain compression; (ii) satisfiability of the lifted sentence is checked by growing the (initially unknown) compressed domain until a satisfying structure is found. The key issue is to ensure that this satisfying structure can always be expanded into an uncompressed structure that satisfies the original sentence to be satisfied. We present an adequate translation for sentences in typed first-order logic extended with aggregates. Our experimental evaluation shows large speedups for generative configuration problems. The method also has applications in the verification of software operating on complex data structures. Our results justify further research in automatic translation of sentences for symmetry reduction.

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Section: Pigeonhole Problemmentioning

confidence: 99%