This article is about rules of inference in logic systems. For the concept in decision theory, see admissible decision rule. For the solution substitution of a system of symbolic equations, see Unification (computer science).
In logic, a rule of inference is admissible in a formal system if the set of theorems of the system does not change when that rule is added to the existing rules of the system. In other words, every formula that can be derived using that rule is already derivable without that rule, so, in a sense, it is redundant. The concept of an admissible rule was introduced by Paul Lorenzen (1955).
rule of inference is admissible in a formal system if the set of theorems of the system does not change when that rule is added to the existing rules...
using the other rules. An admissiblerule is one whose conclusion holds whenever the premises hold. All derivable rules are admissible. To appreciate the...
statistical decision theory, an admissible decision rule is a rule for making a decision such that there is no other rule that is always "better" than it...
party to the proceeding. For evidence to be admissible, it must be relevant and "not excluded by the rules of evidence", which generally means that it...
court of law Admissibility (ECHR), whether a case will be considered in the European Convention on Human Rights system Admissible decision rule, in statistical...
hearsay must be found separately admissible. There are several exceptions to the rule against hearsay in U.S. law. Federal Rule of Evidence 803 lists the following:...
the rule does not apply and the evidence is admissible. In a minority of U.S. states, (Florida, Colorado, and Wisconsin), the parol evidence rule is extremely...
admissiblerule. Sample a random sequence from Bernoulli space. With probability 1 (use martingales), the subsequence picked by the admissiblerule still...
structural rule called contraction, and in such systems one may say that entailment is idempotent if and only if contraction is an admissiblerule. Rule of contraction:...
unlawfully obtained from the defendant by a private person is admissible. The exclusionary rule is designed to protect privacy rights, with the Fourth Amendment...
such as a copy or facsimile, will be not admissible if an original document exists and can be obtained. The rule has its roots in 18th-century British law...
Generally Relevancy and Its Limits Rule 401. Test for Relevant Evidence Rule 402. General Admissibility of Relevant Evidence Rule 403. Excluding Relevant Evidence...
be regained by restricting the form of admissiblerules, typically by imposing a suitable safety condition. Rules are of the form of an implication between...
shown on the right. An admissible decision rule is one that is not dominated by any other decision rule, i.e. there is no decision rule that has equal risk...
Miranda rule and successfully challenge the admissibility under state constitutional provisions. Practically every aspect of the Miranda rule has drawn...
middle and double negation elimination, which are fundamental inference rules in classical logic. Formalized intuitionistic logic was originally developed...
Association rule learning is a rule-based machine learning method for discovering interesting relations between variables in large databases. It is intended...
A Molineux hearing is a New York State pre-trial hearing on the admissibility of evidence of prior uncharged crimes by the defendant in a criminal trial...
U.S. Supreme Court held that the Federal Rules of Evidence superseded Frye as the standard for admissibility of expert evidence in federal courts. Some...
1 August 2007. Part 1 — Preliminary provisions (s 6-15) Part 2 — Admissibilityrules, privilege, and confidentiality Subpart 1 — Hearsay evidence (s 16-22A)...
Ring graft prosecutions, Justice Dillon ruled Ulysses S. Grant's deposition for Orville E. Babcock was admissible in court. Following his resignation from...
prophylactic rule ("Miranda warnings") to protect the Fifth Amendment right against self-incrimination. The exclusionary rule, which restricts admissibility of...
\vdash \quad }}} Or if, as described above, weakening is to be an admissiblerule, then with the axiom: Γ , ⊥ ⊢ Δ {\displaystyle {\cfrac {}{\Gamma ,\bot...
Rules of Civil Procedure. The admissibility and use of evidence in criminal proceedings (as well as civil) are governed by the separate Federal Rules...
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