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alternate case: conservativity
Extension by new constant and function names
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In mathematical logic, a theory can be extended with new constants or function names under certain conditions with assurance that the extension will introduceCointerpretability (191 words) [view diff] exact match in snippet view article find links to article
cointerpretability is equivalent to Σ 1 {\displaystyle \Sigma _{1}} -conservativity. Cotolerance Interpretability logic Tolerance (in logic) Japaridze,Interpretability logic (610 words) [view diff] exact match in snippet view article find links to article
metamathematical properties and relations such as weak interpretability, Π1-conservativity, cointerpretability, tolerance, cotolerance, and arithmetic complexitiesConditional quantifier (248 words) [view diff] exact match in snippet view article find links to article
QA X X [reflexivity] QA X Y ⇒ QA X (Y∧X) [right conservativity] QA X (Y∧X) ⇒ QA X Y [left conservativity] QA X Y ⇒ QA X (Y∨Z) [positive confirmation] QAHeyting arithmetic (6,285 words) [view diff] no match in snippet view article find links to article
In mathematical logic, Heyting arithmetic H A {\displaystyle {\mathsf {HA}}} is an axiomatization of arithmetic in accordance with the philosophy of intuitionismQuantum Markov semigroup (1,633 words) [view diff] exact match in snippet view article find links to article
Chebotarev, A.M; Fagnola, F (March 1998). "Sufficient Conditions for Conservativity of Minimal Quantum Dynamical Semigroups". Journal of Functional AnalysisGiorgi Japaridze (2,628 words) [view diff] exact match in snippet view article find links to article
interpretability logic. He proved that cointerpretability is equivalent to 1-conservativity and tolerance is equivalent to 1-consistency. The former was an answerFriedman translation (312 words) [view diff] exact match in snippet view article find links to article
intuitionistic theories under the Markov rule, and to obtain partial conservativity results. The key condition is that the Δ 0 0 {\displaystyle \Delta _{0}^{0}}Independence-friendly logic (7,168 words) [view diff] no match in snippet view article find links to article
Independence-friendly logic (IF logic; proposed by Jaakko Hintikka and Gabriel Sandu [fr] in 1989) is an extension of classical first-order logic (FOL)MEMO model (wind-flow simulation) (1,891 words) [view diff] exact match in snippet view article
continuity equation and the discrete form of the pressure gradient, conservativity is guaranteed (Flassak and Moussiopoulos, 1988). The discrete pressureConservative extension (858 words) [view diff] exact match in snippet view article find links to article
on the other hand, it is usually harder to establish model theoretic conservativity. Extension by new constant and function names S. G. Simpson, R. L. SmithPotentially visible set (1,201 words) [view diff] exact match in snippet view article find links to article
sub-divide any objects that may be too large individually. This adds conservativity, but the benefit is better hardware utilization and compression (sinceOrdinal analysis (4,946 words) [view diff] exact match in snippet view article find links to article
2023. M. Rathjen, "The Strength of Some Martin-Löf Type Theories" See conservativity result in Rathjen (1996), "The Recursively Mahlo Property in SecondPhilosophy of mathematics (10,964 words) [view diff] exact match in snippet view article find links to article
second-order logic to carry out his reduction, and because the statement of conservativity seems to require quantification over abstract models or deductions.[citationList of theorems (6,293 words) [view diff] exact match in snippet view article find links to article
theorem (lambda calculus) Compactness theorem (mathematical logic) Conservativity theorem (mathematical logic) Craig's theorem (mathematical logic) Craig'sUniqueness of identity proofs (750 words) [view diff] exact match in snippet view article find links to article
set truncation". nLab. Retrieved 2024-02-05. Hoffman, Martin (1996). "Conservativity of equality reflection over intensional type theory". Types for ProofsSwahili Ajami (2,252 words) [view diff] exact match in snippet view article find links to article
implementation of reform in the script, citing local opposition and conservativity, were anxious to do so and impose it on the populace in a top-down manner