Combining Finite Combination Properties: Finite Models and Busy Beavers

Guilherme V. Toledo; Yoni Zohar; Clark Barrett

doi:10.1007/978-3-031-43369-6_9

Combining Finite Combination Properties: Finite Models and Busy Beavers

Guilherme V. Toledo, Yoni Zohar, Clark Barrett

Department of Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

This work is a part of an ongoing effort to understand the relationships between properties used in theory combination. We here focus on including two properties that are related to shiny theories: the finite model property and stable finiteness. For any combination of properties, we consider the question of whether there exists a theory that exhibits it. When there is, we provide an example with the simplest possible signature. One particular class of interest includes theories with the finite model property that are not finitely witnessable. To construct such theories, we utilize the Busy Beaver function.

Original language	English
Title of host publication	Frontiers of Combining Systems - 14th International Symposium, FroCoS 2023, Proceedings
Editors	Uli Sattler, Martin Suda
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	159-175
Number of pages	17
ISBN (Print)	9783031433689
DOIs	https://doi.org/10.1007/978-3-031-43369-6_9
State	Published - 2023
Event	14th International Symposium on Frontiers of Combining Systems, FroCoS 2023 - Prague, Czech Republic Duration: 20 Sep 2023 → 22 Sep 2023

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	14279 LNAI
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	14th International Symposium on Frontiers of Combining Systems, FroCoS 2023
Country/Territory	Czech Republic
City	Prague
Period	20/09/23 → 22/09/23

Bibliographical note

Publisher Copyright:
© 2023, The Author(s).

Funding

Acknowledgments. (1Funded in part by NSF-BSF grant numbers 2110397 (NSF) and 2020704 (BSF) and ISF grant number 619/21. )

Funders	Funder number
NSF-BSF	2020704, 2110397
United States-Israel Binational Science Foundation
Israel Science Foundation	619/21

Keywords

satisfiability modulo theories
theory combination
theory politeness
theory shininess

Access to Document

10.1007/978-3-031-43369-6_9

Cite this

Toledo, G. V., Zohar, Y., & Barrett, C. (2023). Combining Finite Combination Properties: Finite Models and Busy Beavers. In U. Sattler, & M. Suda (Eds.), Frontiers of Combining Systems - 14th International Symposium, FroCoS 2023, Proceedings (pp. 159-175). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 14279 LNAI). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-43369-6_9

Toledo, Guilherme V. ; Zohar, Yoni ; Barrett, Clark. / Combining Finite Combination Properties : Finite Models and Busy Beavers. Frontiers of Combining Systems - 14th International Symposium, FroCoS 2023, Proceedings. editor / Uli Sattler ; Martin Suda. Springer Science and Business Media Deutschland GmbH, 2023. pp. 159-175 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Toledo, GV, Zohar, Y & Barrett, C 2023, Combining Finite Combination Properties: Finite Models and Busy Beavers. in U Sattler & M Suda (eds), Frontiers of Combining Systems - 14th International Symposium, FroCoS 2023, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 14279 LNAI, Springer Science and Business Media Deutschland GmbH, pp. 159-175, 14th International Symposium on Frontiers of Combining Systems, FroCoS 2023, Prague, Czech Republic, 20/09/23. https://doi.org/10.1007/978-3-031-43369-6_9

Combining Finite Combination Properties: Finite Models and Busy Beavers. / Toledo, Guilherme V.; Zohar, Yoni; Barrett, Clark.
Frontiers of Combining Systems - 14th International Symposium, FroCoS 2023, Proceedings. ed. / Uli Sattler; Martin Suda. Springer Science and Business Media Deutschland GmbH, 2023. p. 159-175 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 14279 LNAI).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Toledo GV, Zohar Y, Barrett C. Combining Finite Combination Properties: Finite Models and Busy Beavers. In Sattler U, Suda M, editors, Frontiers of Combining Systems - 14th International Symposium, FroCoS 2023, Proceedings. Springer Science and Business Media Deutschland GmbH. 2023. p. 159-175. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-031-43369-6_9