See proof system in All languages combined, or Wiktionary
Download JSON data for proof system meaning in English (1.5kB)
{
"forms": [
{
"form": "proof systems",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "proof system (plural proof systems)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Logic",
"orig": "en:Logic",
"parents": [
"Formal sciences",
"Philosophy",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"A set of axioms and a set of inference rules which are jointly used to deduce tautologies, thereby providing proofs of them."
],
"id": "en-proof_system-en-noun-b~kp0T64",
"links": [
[
"logic",
"logic"
],
[
"axiom",
"axiom"
],
[
"inference rule",
"inference rule"
],
[
"tautologies",
"tautologies"
],
[
"proof",
"proof"
]
],
"raw_glosses": [
"(logic) A set of axioms and a set of inference rules which are jointly used to deduce tautologies, thereby providing proofs of them."
],
"topics": [
"human-sciences",
"logic",
"mathematics",
"philosophy",
"sciences"
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "Translations",
"word": "todistusjärjestelmä"
},
{
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"neuter"
],
"word": "Beweissystem"
},
{
"code": "pl",
"lang": "Polish",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "grupa aksjomatów"
}
]
}
],
"word": "proof system"
}
{
"forms": [
{
"form": "proof systems",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "proof system (plural proof systems)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"Translation table header lacks gloss",
"en:Logic"
],
"glosses": [
"A set of axioms and a set of inference rules which are jointly used to deduce tautologies, thereby providing proofs of them."
],
"links": [
[
"logic",
"logic"
],
[
"axiom",
"axiom"
],
[
"inference rule",
"inference rule"
],
[
"tautologies",
"tautologies"
],
[
"proof",
"proof"
]
],
"raw_glosses": [
"(logic) A set of axioms and a set of inference rules which are jointly used to deduce tautologies, thereby providing proofs of them."
],
"topics": [
"human-sciences",
"logic",
"mathematics",
"philosophy",
"sciences"
]
}
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "Translations",
"word": "todistusjärjestelmä"
},
{
"code": "de",
"lang": "German",
"sense": "Translations",
"tags": [
"neuter"
],
"word": "Beweissystem"
},
{
"code": "pl",
"lang": "Polish",
"sense": "Translations",
"tags": [
"feminine"
],
"word": "grupa aksjomatów"
}
],
"word": "proof system"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.