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We prove the following problem is decidable:\n  Input: (i) A monadic second order logic sentence $\\alpha$, and (ii) a sentence $\\beta$ in the two-variable fragment of first order logic extended with counting quantifiers. The vocabularies of $\\alpha$ and $\\beta$ may intersect.\n  Output: Is there a finite structure which satisfies $\\alpha\\land\\beta$ such that the restriction of the structure to the vocabulary of $\\alpha$ has bounde"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1505.06622","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-05-25T13:31:45Z","cross_cats_sorted":[],"title_canon_sha256":"28eff39796a12b89f81cbd395d67d72e91ada4ce6b03313ff919241eb538e707","abstract_canon_sha256":"cf1dcbf759bb459a51c3080416095d1315632085031c74e0e7b0c52efc0704e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:00.771590Z","signature_b64":"K/S7T901WcalrjiewDy4KABb51JuJ1k53HTtRuusajK0OZ+TViYTNnpONm1Em97yyePi97Ra+r6haRDVeaRyAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8bcfde387ced3f594e148c235ff725396cfbaa8955a5d86d5c91ec25a0ebe37c","last_reissued_at":"2026-05-18T01:17:00.770928Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:00.770928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Monadic second order finite satisfiability and unbounded tree-width","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Florian Zuleger, Helmut Veith, Tomer Kotek","submitted_at":"2015-05-25T13:31:45Z","abstract_excerpt":"The finite satisfiability problem of monadic second order logic is decidable only on classes of structures of bounded tree-width by the classic result of Seese (1991). 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