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The Government of Canada’s terminology and linguistic data bank.
BELIEF OPERATOR [4 records]
Record 1 - internal organization data 2023-04-14
Record 1, English
Record 1, Subject field(s)
- Mathematics
- Logic (Philosophy)
- Computer Programs and Programming
- Artificial Intelligence
Record 1, Main entry term, English
- belief operator
1, record 1, English, belief%20operator
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
Record 1, Textual support, English
Record number: 1, Textual support number: 1 CONT
Belief operators play an important role in epistemic analyses of games. For any event, a belief operator determines the set of states where this event is(in some precise sense) believed. 2, record 1, English, - belief%20operator
Record 1, French
Record 1, Domaine(s)
- Mathématiques
- Logique (Philosophie)
- Programmes et programmation (Informatique)
- Intelligence artificielle
Record 1, Main entry term, French
- opérateur de croyance
1, record 1, French, op%C3%A9rateur%20de%20croyance
correct, masculine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
Record 1, Textual support, French
Record number: 1, Textual support number: 1 CONT
[...] la logique doxastique [...] interprète l'opérateur modal comme un opérateur de croyance [...] offrant un formalisme pour représenter [...] les croyances [et raisonner à leur sujet]. 1, record 1, French, - op%C3%A9rateur%20de%20croyance
Record 1, Spanish
Record 1, Campo(s) temático(s)
- Matemáticas
- Lógica (Filosofía)
- Programas y programación (Informática)
- Inteligencia artificial
Record 1, Main entry term, Spanish
- operador de creencia
1, record 1, Spanish, operador%20de%20creencia
proposal, masculine noun
Record 1, Abbreviations, Spanish
Record 1, Synonyms, Spanish
Record 1, Textual support, Spanish
Record 2 - internal organization data 1996-11-20
Record 2, English
Record 2, Subject field(s)
- Artificial Intelligence
Record 2, Main entry term, English
- bullet operator
1, record 2, English, bullet%20operator
correct
Record 2, Abbreviations, English
Record 2, Synonyms, English
- B operator 1, record 2, English, B%20operator
correct
Record 2, Textual support, English
Record number: 2, Textual support number: 1 CONT
Even if the denotations of terms were the same for all agents(and for use), we would need to have a way of referring to the constants used by agents for denoting objects(because the constants used by these agents might not appear in our theory). Suppose we were to Skolemize a nested belief formula by replacing the existential variable by a Skolem constant, say Sk. Sk denotes an object-we do not know which one, but A does know!(We know that A knows which object Sk denotes because the semantics of B tells us that there is an expression of the form P(C) in A's theory such that C denotes whatever Sk is supposed to denote.) Therefore, we need a constant to denote whatever it is that Sk denotes. We introduce an operator o. called the bullet operator, that transforms any term inside the context of the B operator to a constant denoting, for the believer, whatever that term is supposed to denote for us. 1, record 2, English, - bullet%20operator
Record 2, French
Record 2, Domaine(s)
- Intelligence artificielle
Record 2, Main entry term, French
- opérateur B
1, record 2, French, op%C3%A9rateur%20B
proposal, masculine noun
Record 2, Abbreviations, French
Record 2, Synonyms, French
Record 2, Textual support, French
Record 2, Spanish
Record 2, Textual support, Spanish
Record 3 - internal organization data 1989-01-20
Record 3, English
Record 3, Subject field(s)
- Artificial Intelligence
Record 3, Main entry term, English
- circumscriptive operator
1, record 3, English, circumscriptive%20operator
correct
Record 3, Abbreviations, English
Record 3, Synonyms, English
Record 3, Textual support, English
Record number: 3, Textual support number: 1 DEF
Operator which elevates the belief derivation process to a first-class entity of the language. It is a powerful tool for representing situations of delimited knowledge. 1, record 3, English, - circumscriptive%20operator
Record 3, French
Record 3, Domaine(s)
- Intelligence artificielle
Record 3, Main entry term, French
- opérateur circonscriptible
1, record 3, French, op%C3%A9rateur%20circonscriptible
correct, masculine noun
Record 3, Abbreviations, French
Record 3, Synonyms, French
Record 3, Textual support, French
Record 3, Spanish
Record 3, Textual support, Spanish
Record 4 - internal organization data 1987-09-10
Record 4, English
Record 4, Subject field(s)
- Artificial Intelligence
Record 4, Main entry term, English
- attachment rule
1, record 4, English, attachment%20rule
correct
Record 4, Abbreviations, English
Record 4, Synonyms, English
Record 4, Textual support, English
Record number: 4, Textual support number: 1 DEF
A rule which derives results involving the belief operator by attaching sentences about belief to the actual derivation process of an agent. 1, record 4, English, - attachment%20rule
Record 4, French
Record 4, Domaine(s)
- Intelligence artificielle
Record 4, Main entry term, French
- règle d'attachement
1, record 4, French, r%C3%A8gle%20d%27attachement
correct, feminine noun
Record 4, Abbreviations, French
Record 4, Synonyms, French
Record 4, Textual support, French
Record 4, Spanish
Record 4, Textual support, Spanish
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