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path: root/theories/Numbers/Natural/Abstract/NPow.v
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* Update headers following #6543.Gravatar Théo Zimmermann2018-02-27
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* Bump year in headers.Gravatar Pierre-Marie Pédrot2017-07-04
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* Update copyright headers.Gravatar Maxime Dénès2016-01-20
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* Update headers.Gravatar Maxime Dénès2015-01-12
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* Updating headers.Gravatar herbelin2012-08-08
| | | | git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15715 85f007b7-540e-0410-9357-904b9bb8a0f7
* SearchAbout and similar: add a customizable blacklistGravatar letouzey2011-08-11
| | | | | | | | | | | | | | | | | | | | | | | | Instead of hard-coding in search.ml some substrings such as "_admitted" or "_subproof" we don't want to see in results of SearchAbout and co, we now have a user command: Add Search Blacklist "foo". Remove Search Blacklist "foo". (* the opposite *) Print Table Search Blacklist. (* the current state *) In Prelude.v, three substrings are blacklisted originally: - "_admitted" for internal lemmas due to admit. - "_subproof" for internal lemmas due to abstract. - "Private_" for hiding auxiliary modules not meant for global usage. Note that substrings are searched in the fully qualified names of the available lemmas (e.g. "Coq.Init.Peano.plus"). This commit also adds the prefix "Private_" to some internal modules in Numbers, Z, N, etc. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@14408 85f007b7-540e-0410-9357-904b9bb8a0f7
* - Use transparency information all the way through unification andGravatar msozeau2011-02-17
| | | | | | | | | | conversion. - Fix trans_fconv* to use evars correctly. - Normalize the goal with respect to evars before rewriting in [rewrite], allowing to see instanciations from other subgoals. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13844 85f007b7-540e-0410-9357-904b9bb8a0f7
* Numbers: some improvements in proofsGravatar letouzey2011-01-03
| | | | | | | | | | - a ltac solve_proper which generalizes solve_predicate_wd and co - using le_elim is nicer that (apply le_lteq; destruct ...) - "apply ->" can now be "apply" most of the time. Benefit: NumPrelude is now almost empty git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13762 85f007b7-540e-0410-9357-904b9bb8a0f7
* Numbers and bitwise functions.Gravatar letouzey2010-12-06
| | | | | | | | | | | | | | | | | | | | | | | See NatInt/NZBits.v for the common axiomatization of bitwise functions over naturals / integers. Some specs aren't pretty, but easier to prove, see alternate statements in property functors {N,Z}Bits. Negative numbers are considered via the two's complement convention. We provide implementations for N (in Ndigits.v), for nat (quite dummy, just for completeness), for Z (new file Zdigits_def), for BigN (for the moment partly by converting to N, to be improved soon) and for BigZ. NOTA: For BigN.shiftl and BigN.shiftr, the two arguments are now in the reversed order (for consistency with the rest of the world): for instance BigN.shiftl 1 10 is 2^10. NOTA2: Zeven.Zdiv2 is _not_ doing (Zdiv _ 2), but rather (Zquot _ 2) on negative numbers. For the moment I've kept it intact, and have just added a Zdiv2' which is truly equivalent to (Zdiv _ 2). To reorganize someday ? git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13689 85f007b7-540e-0410-9357-904b9bb8a0f7
* Numbers : log2. Abstraction, properties and implementations.Gravatar letouzey2010-11-02
| | | | | | | | | | Btw, we finally declare the original Zpower as the power on Z. We should switch to a more efficient one someday, but in the meantime BigN is proved with respect to the old one. TODO: reform Zlogarithm with respect to Zlog_def git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13606 85f007b7-540e-0410-9357-904b9bb8a0f7
* Numbers: NZPowProp as a Module Type, some module variable renamingGravatar letouzey2010-11-02
| | | | | | | | | We temporary use a hack to convert a module type into a module Module M := T is refused, so we force an include via Module M := Nop <+ T where Nop is an empty module. To be fixed later more beautifully... git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13602 85f007b7-540e-0410-9357-904b9bb8a0f7
* Numbers: new functions pow, even, odd + many reorganisationsGravatar letouzey2010-10-14
- Simplification of functor names, e.g. ZFooProp instead of ZFooPropFunct - The axiomatisations of the different fonctions are now in {N,Z}Axioms.v apart for Z division (three separate flavours in there own files). Content of {N,Z}AxiomsSig is extended, old version is {N,Z}AxiomsMiniSig. - In NAxioms, the recursion field isn't that useful, since we axiomatize other functions and not define them (apart in the toy NDefOps.v). We leave recursion there, but in a separate NAxiomsFullSig. - On Z, the pow function is specified to behave as Zpower : a^(-1)=0 - In BigN/BigZ, (power:t->N->t) is now pow_N, while pow is t->t->t These pow could be more clever (we convert 2nd arg to N and use pow_N). Default "^" is now (pow:t->t->t). BigN/BigZ ring is adapted accordingly - In BigN, is_even is now even, its spec is changed to use Zeven_bool. We add an odd. In BigZ, we add even and odd. - In ZBinary (implem of ZAxioms by ZArith), we create an efficient Zpow to implement pow. This Zpow should replace the current linear Zpower someday. - In NPeano (implem of NAxioms by Arith), we create pow, even, odd functions, and we modify the div and mod functions for them to be linear, structural, tail-recursive. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@13546 85f007b7-540e-0410-9357-904b9bb8a0f7