Unification in Matching Logic -- Revisited

Matching logic is a logical framework for specifying and reasoning about programs using pattern matching semantics. A pattern is made up of a number of structural components and constraints. Structural components are syntactically matched, while constraints need to be satisfied. Having multiple stru...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:arXiv.org
Hlavní autori: Kurucz, Ádám, Bereczky, Péter, Horpácsi, Dániel
Médium: Paper
Jazyk:English
Vydavateľské údaje: Ithaca Cornell University Library, arXiv.org 31.10.2024
Predmet:
Algorithms
Constraints
Logic
Pattern matching
Semantics
ISSN:2331-8422
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Abstract Matching logic is a logical framework for specifying and reasoning about programs using pattern matching semantics. A pattern is made up of a number of structural components and constraints. Structural components are syntactically matched, while constraints need to be satisfied. Having multiple structural patterns poses a practical problem as it requires multiple matching operations. This is easily remedied by unification, for which an algorithm has already been defined and proven correct in a sorted, polyadic variant of matching logic. This paper revisits the subject in the applicative variant of the language while generalising the unification problem and mechanizing a proven-sound solution in Coq.
AbstractList Matching logic is a logical framework for specifying and reasoning about programs using pattern matching semantics. A pattern is made up of a number of structural components and constraints. Structural components are syntactically matched, while constraints need to be satisfied. Having multiple structural patterns poses a practical problem as it requires multiple matching operations. This is easily remedied by unification, for which an algorithm has already been defined and proven correct in a sorted, polyadic variant of matching logic. This paper revisits the subject in the applicative variant of the language while generalising the unification problem and mechanizing a proven-sound solution in Coq.
Author Kurucz, Ádám
Horpácsi, Dániel
Bereczky, Péter
Author_xml – sequence: 1
  givenname: Ádám
  surname: Kurucz
  fullname: Kurucz, Ádám
– sequence: 2
  givenname: Péter
  surname: Bereczky
  fullname: Bereczky, Péter
– sequence: 3
  givenname: Dániel
  surname: Horpácsi
  fullname: Horpácsi, Dániel
BookMark eNotjs1KAzEURoMoWGsfwF3AnZCa3OQmmaUU_2CkUOq6JJlMTZFEJ9Pi4zugqw_O4pzvipznkiMhN4IvlUXk9274SaclqAmANJqfkRlIKZhVAJdkUeuBcw7aAKKckbv3nPoU3JhKpinTNzeGj5T3tC37FChjdBNPqaYxdtfkonefNS7-d062T4_b1Qtr18-vq4eWOYSGSbQ2Cu6iQu6nsEYMPvQd-tCgd0JDjNKhMApFCFYo0L0yQRjnO-6VlnNy-6f9Gsr3MdZxdyjHIU_FnRQgxXS7aeQvPpRDOA
ContentType Paper
Copyright 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID 8FE
8FG
ABJCF
ABUWG
AFKRA
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
HCIFZ
L6V
M7S
PHGZM
PHGZT
PIMPY
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
DOI 10.48550/arxiv.2410.23760
DatabaseName ProQuest SciTech Collection
ProQuest Technology Collection
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
ProQuest Central Essentials - QC
ProQuest Central
Technology collection
ProQuest One Community College
ProQuest Central
SciTech Premium Collection
ProQuest Engineering Collection
Engineering Database
ProQuest Central Premium
ProQuest One Academic (New)
Publicly Available Content Database
ProQuest One Academic Middle East (New)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering collection
DatabaseTitle Publicly Available Content Database
Engineering Database
Technology Collection
ProQuest One Academic Middle East (New)
ProQuest Central Essentials
ProQuest One Academic Eastern Edition
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest Technology Collection
ProQuest SciTech Collection
ProQuest Central China
ProQuest Central
ProQuest One Applied & Life Sciences
ProQuest Engineering Collection
ProQuest One Academic UKI Edition
ProQuest Central Korea
Materials Science & Engineering Collection
ProQuest Central (New)
ProQuest One Academic
ProQuest One Academic (New)
Engineering Collection
DatabaseTitleList Publicly Available Content Database
Database_xml – sequence: 1
  dbid: PIMPY
  name: Publicly Available Content Database
  url: http://search.proquest.com/publiccontent
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 2331-8422
Genre Working Paper/Pre-Print
GroupedDBID 8FE
8FG
ABJCF
ABUWG
AFKRA
ALMA_UNASSIGNED_HOLDINGS
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
FRJ
HCIFZ
L6V
M7S
M~E
PHGZM
PHGZT
PIMPY
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
ID FETCH-LOGICAL-a529-3588e10ae450b233655cbcfd5bc95ba162ee3a517451cc81426f47c17abd0b463
IEDL.DBID BENPR
IngestDate Mon Jun 30 09:28:33 EDT 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed false
IsScholarly false
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-a529-3588e10ae450b233655cbcfd5bc95ba162ee3a517451cc81426f47c17abd0b463
Notes SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
OpenAccessLink https://www.proquest.com/docview/3123155399?pq-origsite=%requestingapplication%
PQID 3123155399
PQPubID 2050157
ParticipantIDs proquest_journals_3123155399
PublicationCentury 2000
PublicationDate 20241031
PublicationDateYYYYMMDD 2024-10-31
PublicationDate_xml – month: 10
  year: 2024
  text: 20241031
  day: 31
PublicationDecade 2020
PublicationPlace Ithaca
PublicationPlace_xml – name: Ithaca
PublicationTitle arXiv.org
PublicationYear 2024
Publisher Cornell University Library, arXiv.org
Publisher_xml – name: Cornell University Library, arXiv.org
SSID ssj0002672553
Score 1.8876551
SecondaryResourceType preprint
Snippet Matching logic is a logical framework for specifying and reasoning about programs using pattern matching semantics. A pattern is made up of a number of...
SourceID proquest
SourceType Aggregation Database
SubjectTerms Algorithms
Constraints
Logic
Pattern matching
Semantics
Title Unification in Matching Logic -- Revisited
URI https://www.proquest.com/docview/3123155399
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LSwMxGPzQVsGTb3zUsgdPQmzz3M1JUFoUbFlqD_VUkmwWetm2u7X48022qXry4jHkkpAw3zD5MgNw6y3gcmEt4jiziCVKIaUVR9L4eqyFEnntM_saD4fJZCLTILhVoa1yi4k1UGdz4zXyDnUQ6zNupHxYLJFPjfKvqyFCYxea3qmMNaD52Bumo2-VhYjYcWa6ec6szbs6qvycre9d4fJN0HGwpvwNwnVl6R_-d01H0EzVwpbHsGOLE9ivOzpNdQp3jk3mQZCLZkU0cJjr1abIpyubCKFoVH8sd4zzDMb93vjpGYVgBKQ4kYjyJLG4qyzjXU0oFZwbbfKMayO5VlgQa6nyFtQcG5NgV4RzFhscK511NRP0HBrFvLAXEBGSm9gwoRNpGcG5dPwlySzVOMNaSHYJre3Op-FyV9OfbV_9PX0NB8RxgA3Ut6CxKj_sDeyZ9WpWle1wVm3fbvnmRunLIH3_AhpeoAg
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V27TsMwFL0qLQgm3uJRIAMsSKa1EzvxgBiAqlUfqqBDt8h2HKlLWpJS4KP4R-w0ASa2DsyRrOjaPuf4-voegEvbAi5mWiOKI428QAgkpKCIK8vHkgkW531me_5gEIzHfFiBz_ItjC2rLDExB-poqmyOvOEaiLUeN5zfzV6QdY2yt6ulhcZyWXT1x5s5smW3nQczv1eEtB5H921UuAogQQlHLg0CjZtCe7QpiesySpVUcUSl4lQKzIjWrrD9mylWKsCGwWLPV9gXMmpKj7lm2DWoeRb880rB5--UDmG-Eeju8u407xTWEOn7ZHFjWNJWXPtFH8zfiJ_TWGv7nwVgB2pDMdPpLlR0sgcbebWqyvbh2ijluEg2OpPE6Rs-sZk0xzpHKwch5yl_NG_U9AGMVvF3h1BNpok-AoeQWPnKYzLg2iM45kabBZF2JY6wZNw7hnoZ6LDYuFn4E-WTvz9fwGZ71O-Fvc6gewpbxGidJaXVoTpPX_UZrKvFfJKl5_kicSBc8Zx8AZZ49wo
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Unification+in+Matching+Logic+--+Revisited&rft.jtitle=arXiv.org&rft.au=Kurucz%2C+%C3%81d%C3%A1m&rft.au=Bereczky%2C+P%C3%A9ter&rft.au=Horp%C3%A1csi%2C+D%C3%A1niel&rft.date=2024-10-31&rft.pub=Cornell+University+Library%2C+arXiv.org&rft.eissn=2331-8422&rft_id=info:doi/10.48550%2Farxiv.2410.23760