Isabelle NEWS -- history user-relevant changes

==============================================

New in this Isabelle release

----------------------------

*** General ***

* Theory syntax: the header format ``theory A = B + C:'' has been

discontinued in favour of ``theory A imports B C begin''.  Use isatool

fixheaders to convert existing theory files.  INCOMPATIBILITY.

* Theory syntax: the old non-Isar theory file format has been

discontinued altogether.  Note that ML proof scripts may still be used

with Isar theories; migration is usually quite simple with the ML

function use_legacy_bindings.  INCOMPATIBILITY.

* Legacy goal package: reduced interface to the bare minimum required

to keep existing proof scripts running.  Most other user-level

functions are now part of the OldGoals structure, which is *not* open

by default (consider isatool expandshort before open OldGoals).

Removed top_sg, prin, printyp, pprint_term/typ altogether, because

these tend to cause confusion about the actual goal (!) context being

used here, which is not necessarily the same as the_context().

* Command 'find_theorems': support "*" wildcard in "name:" criterion.

*** Document preparation ***

* Added antiquotations @{ML_type text} and @{ML_struct text} which

check the given source text as ML type/structure, printing verbatim.

*** Pure ***

* Isar: improper proof element 'guess' is like 'obtain', but derives

the obtained context from the course of reasoning!  For example:

  assume "EX x y. A x & B y"   -- "any previous fact"

  then guess x and y by clarify

This technique is potentially adventurous, depending on the facts and

proof tools being involved here.

* Isar: known facts from the proof context may be specified as literal

propositions, using ASCII back-quote syntax.  This works wherever

named facts used to be allowed so far, in proof commands, proof

methods, attributes etc.  Literal facts are retrieved from the context

according to unification of type and term parameters.  For example,

provided that "A" and "A ==> B" and "!!x. P x ==> Q x" are known

theorems in the current context, then these are valid literal facts:

`A` and `A ==> B` and `!!x. P x ==> Q x" as well as `P a ==> Q a` etc.

There is also a proof method "fact" which does the same composition

for explicit goal states, e.g. the following proof texts coincide with

certain special cases of literal facts:

  have "A" by fact                 ==  note `A`

  have "A ==> B" by fact           ==  note `A ==> B`

  have "!!x. P x ==> Q x" by fact  ==  note `!!x. P x ==> Q x`

  have "P a ==> Q a" by fact       ==  note `P a ==> Q a`

* Isar: 'def' now admits simultaneous definitions, e.g.:

  def x == "t" and y == "u"

* Isar: added command 'unfolding', which is structurally similar to

'using', but affects both the goal state and facts by unfolding given

meta-level equations.  Thus many occurrences of the 'unfold' method or

'unfolded' attribute may be replaced by first-class proof text.

* Provers/induct: improved internal context management to support

local fixes and defines on-the-fly.  Thus explicit meta-level

connectives !! and ==> are rarely required anymore in inductive goals

(using object-logic connectives for this purpose has been long

obsolete anyway).  The subsequent proof patterns illustrate advanced

techniques of natural induction; general datatypes and inductive sets

work analogously (see also src/HOL/Lambda for realistic examples).

(1) This is how to ``strengthen'' an inductive goal wrt. certain

parameters:

  lemma

    fixes n :: nat and x :: 'a

    assumes a: "A n x"

    shows "P n x"

    using a                     -- {* make induct insert fact a *}

  proof (induct n fixing: x)    -- {* generalize goal to "!!x. A n x ==> P n x" *}

    case 0

    show ?case sorry

  next

    case (Suc n)

    note `!!x. A n x ==> P n x` -- {* induction hypothesis, according to induction rule *}

    note `A (Suc n) x`          -- {* induction premise, stemming from fact a *}

    show ?case sorry

  qed

(2) This is how to perform induction over ``expressions of a certain

form'', using a locally defined inductive parameter n == "a x"

together with strengthening (the latter is usually required to get

sufficiently flexible induction hypotheses):

  lemma

    fixes a :: "'a => nat"

    assumes a: "A (a x)"

    shows "P (a x)"

    using a

  proof (induct n == "a x" fixing: x)

    ...

See also HOL/Isar_examples/Puzzle.thy for an application of the this

particular technique.

(3) This is how to perform existential reasoning ('obtain') by

induction, while avoiding explicit object-logic encodings:

  fix n :: nat

  obtain x :: 'a where "P n x" and "Q n x"

  proof (induct n fixing: thesis)

    case 0

    obtain x where "P 0 x" and "Q 0 x" sorry

    then show thesis by (rule 0)

  next

    case (Suc n)

    obtain x where "P n x" and "Q n x" by (rule Suc.hyps)

    obtain x where "P (Suc n) x" and "Q (Suc n) x" sorry

    then show thesis by (rule Suc.prems)

  qed

Here the 'fixing: thesis' specification essentially modifies the scope

of the formal thesis parameter, in order to the get the whole

existence statement through the induction as expected.

* Provers/induct: mutual induction rules are now specified as a list

of rule sharing the same induction cases.  HOL packages usually

provide foo_bar.inducts for mutually defined items foo and bar

(e.g. inductive sets or datatypes).  INCOMPATIBILITY, users need to

specify mutual induction rules differently, i.e. like this:

  (induct rule: foo_bar.inducts)

  (induct set: foo bar)

  (induct type: foo bar)

The ML function ProjectRule.projections turns old-style rules into the

new format.

* Provers/induct: improved handling of simultaneous goals.  Instead of

introducing object-level conjunction, the statement is now split into

several conclusions, while the corresponding symbolic cases are

duplicated accordingly.  INCOMPATIBILITY, proofs need to be structured

explicitly, e.g. like this:

  lemma

    fixes n :: nat

    shows "P n" and "Q n"

  proof (induct n)

    case 01

    show "P 0" sorry

  next

    case 02

    show "Q 0" sorry

  next

    case (Suc1 n)

    note `P n` and `Q n`

    show "P (Suc n)" sorry

  next

    case (Suc2 n)

    note `P n` and `Q n`

    show "Q (Suc n)" sorry

  qed

If simultaneous goals are to be used with mutual rules, the statement

needs to be structured carefully as a two-level conjunction, using

lists of propositions separated by 'and':

  lemma

    shows "a : A ==> P1 a"

          "a : A ==> P2 a"

      and "b : B ==> Q1 b"

          "b : B ==> Q2 b"

          "b : B ==> Q3 b"

  proof (induct set: A B)

* Provers/induct: support coinduction as well.  See

src/HOL/Library/Coinductive_List.thy for various examples.

* Provers/classical: removed obsolete classical version of elim_format

attribute; classical elim/dest rules are now treated uniformly when

manipulating the claset.

* Syntax: input syntax now supports dummy variable binding "%_. b",

where the body does not mention the bound variable.  Note that dummy

patterns implicitly depend on their context of bounds, which makes

"{_. _}" match any set comprehension as expected.  Potential

INCOMPATIBILITY -- parse translations need to cope with syntactic

constant "_idtdummy" in the binding position.

* Syntax: removed obsolete syntactic constant "_K" and its associated

parse translation.  INCOMPATIBILITY -- use dummy abstraction instead,

for example "A -> B" => "Pi A (%_. B)".

*** HOL ***

* Alternative iff syntax "A <-> B" for equality on bool (with priority

25 like -->); output depends on the "iff" print_mode, the default is

"A = B" (with priority 50).

* In the context of the assumption "~(s = t)" the Simplifier rewrites

"t = s" to False (by simproc "neq_simproc").  For backward

compatibility this can be disabled by ML "reset use_neq_simproc".

* Tactics 'sat' and 'satx' reimplemented, several improvements: goals

no longer need to be stated as "<prems> ==> False", equivalences (i.e.

"=" on type bool) are handled, variable names of the form "lit_<n>"

are no longer reserved, significant speedup.

* inductive and datatype: provide projections of mutual rules, bundled

as foo_bar.inducts;

* Library: added theory Coinductive_List of potentially infinite lists

as greatest fixed-point.

*** ML ***

* Pure/library:

  val burrow: ('a list -> 'b list) -> 'a list list -> 'b list list

  val burrow_split: ('a list -> 'c * 'b list) -> 'a list list -> 'c * 'b list list

The semantics of "burrow" is: "take a function with *simulatanously*

transforms a list of value, and apply it *simulatanously* to a list of

list of values of the appropriate type". Confer this with "map" which

would *not* apply its argument function simulatanously but in

sequence. "burrow_split" allows the transformator function to yield an

additional side result.

Both actually avoid the usage of "unflat" since they hide away

"unflat" from the user.

* Pure/library: functions map2 and fold2 with curried syntax for

simultanous mapping and folding:

    val map2: ('a -> 'b -> 'c) -> 'a list -> 'b list -> 'c list

    val fold2: ('a -> 'b -> 'c -> 'c) -> 'a list -> 'b list -> 'c -> 'c

* Pure/library: indexed lists - some functions in the Isabelle library

treating lists over 'a as finite mappings from [0...n] to 'a have been

given more convenient names and signatures reminiscent of similar

functions for alists, tables, etc:

  val nth: 'a list -> int -> 'a 

  val nth_update: int * 'a -> 'a list -> 'a list

  val nth_map: int -> ('a -> 'a) -> 'a list -> 'a list

  val fold_index: (int * 'a -> 'b -> 'b) -> 'a list -> 'b -> 'b

Note that fold_index starts counting at index 0, not 1 like foldln

used to.

* Pure/General: name_mangler.ML provides a functor for generic name

mangling (bijective mapping from any expression values to strings).

* Pure/General: rat.ML implements rational numbers.

* Pure: several functions of signature "... -> theory -> theory * ..."

have been reoriented to "... -> theory -> ... * theory" in order to

allow natural usage in combination with the ||>, ||>>, |-> and

fold_map combinators.

* Pure: primitive rule lift_rule now takes goal cterm instead of an

actual goal state (thm).  Use Thm.lift_rule (Thm.cprem_of st i) to

achieve the old behaviour.

* Pure: the "Goal" constant is now called "prop", supporting a

slightly more general idea of ``protecting'' meta-level rule

statements.

* Pure/goals: structure Goal provides simple interfaces for

init/conclude/finish and tactical prove operations (replacing former

Tactic.prove).  Note that OldGoals.prove_goalw_cterm has long been

obsolete, it is ill-behaved in a local proof context (e.g. with local

fixes/assumes or in a locale context).

* Simplifier: the simpset of a running simplification process now

contains a proof context (cf. Simplifier.the_context), which is the

very context that the initial simpset has been retrieved from (by

simpset_of/local_simpset_of).  Consequently, all plug-in components

(solver, looper etc.) may depend on arbitrary proof data.

* Simplifier.inherit_context inherits the proof context (plus the

local bounds) of the current simplification process; any simproc

etc. that calls the Simplifier recursively should do this!  Removed

former Simplifier.inherit_bounds, which is already included here --

INCOMPATIBILITY.  Tools based on low-level rewriting may even have to

specify an explicit context using Simplifier.context/theory_context.

* Simplifier/Classical Reasoner: more abstract interfaces

change_simpset/claset for modifying the simpset/claset reference of a

theory; raw versions simpset/claset_ref etc. have been discontinued --

INCOMPATIBILITY.

* Provers: more generic wrt. syntax of object-logics, avoid hardwired

"Trueprop" etc.

New in Isabelle2005 (October 2005)

----------------------------------

*** General ***

* Theory headers: the new header syntax for Isar theories is

  theory <name>

  imports <theory1> ... <theoryN>

  uses <file1> ... <fileM>

  begin

where the 'uses' part is optional.  The previous syntax

  theory <name> = <theory1> + ... + <theoryN>:

will disappear in the next release.  Use isatool fixheaders to convert

existing theory files.  Note that there is no change in ancient

non-Isar theories now, but these will disappear soon.

* Theory loader: parent theories can now also be referred to via

relative and absolute paths.

* Command 'find_theorems' searches for a list of criteria instead of a

list of constants. Known criteria are: intro, elim, dest, name:string,

simp:term, and any term. Criteria can be preceded by '-' to select

theorems that do not match. Intro, elim, dest select theorems that

match the current goal, name:s selects theorems whose fully qualified

name contain s, and simp:term selects all simplification rules whose

lhs match term.  Any other term is interpreted as pattern and selects

all theorems matching the pattern. Available in ProofGeneral under

'ProofGeneral -> Find Theorems' or C-c C-f.  Example:

  C-c C-f (100) "(_::nat) + _ + _" intro -name: "HOL."

prints the last 100 theorems matching the pattern "(_::nat) + _ + _",

matching the current goal as introduction rule and not having "HOL."

in their name (i.e. not being defined in theory HOL).

* Command 'thms_containing' has been discontinued in favour of

'find_theorems'; INCOMPATIBILITY.

* Communication with Proof General is now 8bit clean, which means that

Unicode text in UTF-8 encoding may be used within theory texts (both

formal and informal parts).  Cf. option -U of the Isabelle Proof

General interface.  Here are some simple examples (cf. src/HOL/ex):

  http://isabelle.in.tum.de/library/HOL/ex/Hebrew.html

  http://isabelle.in.tum.de/library/HOL/ex/Chinese.html

* Improved efficiency of the Simplifier and, to a lesser degree, the

Classical Reasoner.  Typical big applications run around 2 times

faster.

*** Document preparation ***

* Commands 'display_drafts' and 'print_drafts' perform simple output

of raw sources.  Only those symbols that do not require additional

LaTeX packages (depending on comments in isabellesym.sty) are

displayed properly, everything else is left verbatim.  isatool display

and isatool print are used as front ends (these are subject to the

DVI/PDF_VIEWER and PRINT_COMMAND settings, respectively).

* Command tags control specific markup of certain regions of text,

notably folding and hiding.  Predefined tags include "theory" (for

theory begin and end), "proof" for proof commands, and "ML" for

commands involving ML code; the additional tags "visible" and

"invisible" are unused by default.  Users may give explicit tag

specifications in the text, e.g. ''by %invisible (auto)''.  The

interpretation of tags is determined by the LaTeX job during document

preparation: see option -V of isatool usedir, or options -n and -t of

isatool document, or even the LaTeX macros \isakeeptag, \isafoldtag,

\isadroptag.

Several document versions may be produced at the same time via isatool

usedir (the generated index.html will link all of them).  Typical

specifications include ''-V document=theory,proof,ML'' to present

theory/proof/ML parts faithfully, ''-V outline=/proof,/ML'' to fold

proof and ML commands, and ''-V mutilated=-theory,-proof,-ML'' to omit

these parts without any formal replacement text.  The Isabelle site

default settings produce ''document'' and ''outline'' versions as

specified above.

* Several new antiquotations:

  @{term_type term} prints a term with its type annotated;

  @{typeof term} prints the type of a term;

  @{const const} is the same as @{term const}, but checks that the

  argument is a known logical constant;

  @{term_style style term} and @{thm_style style thm} print a term or

  theorem applying a "style" to it

  @{ML text}

Predefined styles are 'lhs' and 'rhs' printing the lhs/rhs of

definitions, equations, inequations etc., 'concl' printing only the

conclusion of a meta-logical statement theorem, and 'prem1' .. 'prem19'

to print the specified premise.  TermStyle.add_style provides an ML

interface for introducing further styles.  See also the "LaTeX Sugar"

document practical applications.  The ML antiquotation prints

type-checked ML expressions verbatim.

* Markup commands 'chapter', 'section', 'subsection', 'subsubsection',

and 'text' support optional locale specification '(in loc)', which

specifies the default context for interpreting antiquotations.  For

example: 'text (in lattice) {* @{thm inf_assoc}*}'.

* Option 'locale=NAME' of antiquotations specifies an alternative

context interpreting the subsequent argument.  For example: @{thm

[locale=lattice] inf_assoc}.

* Proper output of proof terms (@{prf ...} and @{full_prf ...}) within

a proof context.

* Proper output of antiquotations for theory commands involving a

proof context (such as 'locale' or 'theorem (in loc) ...').

* Delimiters of outer tokens (string etc.) now produce separate LaTeX

macros (\isachardoublequoteopen, isachardoublequoteclose etc.).

* isatool usedir: new option -C (default true) controls whether option

-D should include a copy of the original document directory; -C false

prevents unwanted effects such as copying of administrative CVS data.

*** Pure ***

* Considerably improved version of 'constdefs' command.  Now performs

automatic type-inference of declared constants; additional support for

local structure declarations (cf. locales and HOL records), see also

isar-ref manual.  Potential INCOMPATIBILITY: need to observe strictly

sequential dependencies of definitions within a single 'constdefs'

section; moreover, the declared name needs to be an identifier.  If

all fails, consider to fall back on 'consts' and 'defs' separately.

* Improved indexed syntax and implicit structures.  First of all,

indexed syntax provides a notational device for subscripted

application, using the new syntax \<^bsub>term\<^esub> for arbitrary

expressions.  Secondly, in a local context with structure

declarations, number indexes \<^sub>n or the empty index (default

number 1) refer to a certain fixed variable implicitly; option

show_structs controls printing of implicit structures.  Typical

applications of these concepts involve record types and locales.

* New command 'no_syntax' removes grammar declarations (and

translations) resulting from the given syntax specification, which is

interpreted in the same manner as for the 'syntax' command.

* 'Advanced' translation functions (parse_translation etc.) may depend

on the signature of the theory context being presently used for

parsing/printing, see also isar-ref manual.

* Improved 'oracle' command provides a type-safe interface to turn an

ML expression of type theory -> T -> term into a primitive rule of

type theory -> T -> thm (i.e. the functionality of Thm.invoke_oracle

is already included here); see also FOL/ex/IffExample.thy;

INCOMPATIBILITY.

* axclass: name space prefix for class "c" is now "c_class" (was "c"

before); "cI" is no longer bound, use "c.intro" instead.

INCOMPATIBILITY.  This change avoids clashes of fact bindings for

axclasses vs. locales.

* Improved internal renaming of symbolic identifiers -- attach primes

instead of base 26 numbers.

* New flag show_question_marks controls printing of leading question

marks in schematic variable names.

* In schematic variable names, *any* symbol following \<^isub> or

\<^isup> is now treated as part of the base name.  For example, the

following works without printing of awkward ".0" indexes:

  lemma "x\<^isub>1 = x\<^isub>2 ==> x\<^isub>2 = x\<^isub>1"

    by simp

* Inner syntax includes (*(*nested*) comments*).

* Pretty printer now supports unbreakable blocks, specified in mixfix

annotations as "(00...)".

* Clear separation of logical types and nonterminals, where the latter

may only occur in 'syntax' specifications or type abbreviations.

Before that distinction was only partially implemented via type class

"logic" vs. "{}".  Potential INCOMPATIBILITY in rare cases of improper

use of 'types'/'consts' instead of 'nonterminals'/'syntax'.  Some very

exotic syntax specifications may require further adaption

(e.g. Cube/Cube.thy).

* Removed obsolete type class "logic", use the top sort {} instead.

Note that non-logical types should be declared as 'nonterminals'

rather than 'types'.  INCOMPATIBILITY for new object-logic

specifications.

* Attributes 'induct' and 'cases': type or set names may now be

locally fixed variables as well.

* Simplifier: can now control the depth to which conditional rewriting

is traced via the PG menu Isabelle -> Settings -> Trace Simp Depth

Limit.

* Simplifier: simplification procedures may now take the current

simpset into account (cf. Simplifier.simproc(_i) / mk_simproc

interface), which is very useful for calling the Simplifier

recursively.  Minor INCOMPATIBILITY: the 'prems' argument of simprocs

is gone -- use prems_of_ss on the simpset instead.  Moreover, the

low-level mk_simproc no longer applies Logic.varify internally, to

allow for use in a context of fixed variables.

* thin_tac now works even if the assumption being deleted contains !!

or ==>.  More generally, erule now works even if the major premise of

the elimination rule contains !! or ==>.

* Method 'rules' has been renamed to 'iprover'. INCOMPATIBILITY.

* Reorganized bootstrapping of the Pure theories; CPure is now derived

from Pure, which contains all common declarations already.  Both

theories are defined via plain Isabelle/Isar .thy files.

INCOMPATIBILITY: elements of CPure (such as the CPure.intro /

CPure.elim / CPure.dest attributes) now appear in the Pure name space;

use isatool fixcpure to adapt your theory and ML sources.

* New syntax 'name(i-j, i-, i, ...)' for referring to specific

selections of theorems in named facts via index ranges.

* 'print_theorems': in theory mode, really print the difference

wrt. the last state (works for interactive theory development only),

in proof mode print all local facts (cf. 'print_facts');

* 'hide': option '(open)' hides only base names.

* More efficient treatment of intermediate checkpoints in interactive

theory development.

* Code generator is now invoked via code_module (incremental code

generation) and code_library (modular code generation, ML structures

for each theory).  INCOMPATIBILITY: new keywords 'file' and 'contains'

must be quoted when used as identifiers.

* New 'value' command for reading, evaluating and printing terms using

the code generator.  INCOMPATIBILITY: command keyword 'value' must be

quoted when used as identifier.

*** Locales ***

* New commands for the interpretation of locale expressions in

theories (1), locales (2) and proof contexts (3).  These generate

proof obligations from the expression specification.  After the

obligations have been discharged, theorems of the expression are added

to the theory, target locale or proof context.  The synopsis of the

commands is a follows:

  (1) interpretation expr inst

  (2) interpretation target < expr

  (3) interpret expr inst

Interpretation in theories and proof contexts require a parameter

instantiation of terms from the current context.  This is applied to

specifications and theorems of the interpreted expression.

Interpretation in locales only permits parameter renaming through the

locale expression.  Interpretation is smart in that interpretations

that are active already do not occur in proof obligations, neither are

instantiated theorems stored in duplicate.  Use 'print_interps' to

inspect active interpretations of a particular locale.  For details,

see the Isar Reference manual.  Examples can be found in

HOL/Finite_Set.thy and HOL/Algebra/UnivPoly.thy.

INCOMPATIBILITY: former 'instantiate' has been withdrawn, use

'interpret' instead.

* New context element 'constrains' for adding type constraints to

parameters.

* Context expressions: renaming of parameters with syntax

redeclaration.

* Locale declaration: 'includes' disallowed.

* Proper static binding of attribute syntax -- i.e. types / terms /

facts mentioned as arguments are always those of the locale definition

context, independently of the context of later invocations.  Moreover,

locale operations (renaming and type / term instantiation) are applied

to attribute arguments as expected.

INCOMPATIBILITY of the ML interface: always pass Attrib.src instead of

actual attributes; rare situations may require Attrib.attribute to

embed those attributes into Attrib.src that lack concrete syntax.

Attribute implementations need to cooperate properly with the static

binding mechanism.  Basic parsers Args.XXX_typ/term/prop and

Attrib.XXX_thm etc. already do the right thing without further

intervention.  Only unusual applications -- such as "where" or "of"

(cf. src/Pure/Isar/attrib.ML), which process arguments depending both

on the context and the facts involved -- may have to assign parsed

values to argument tokens explicitly.

* Changed parameter management in theorem generation for long goal

statements with 'includes'.  INCOMPATIBILITY: produces a different

theorem statement in rare situations.

* Locale inspection command 'print_locale' omits notes elements.  Use

'print_locale!' to have them included in the output.

*** Provers ***

* Provers/hypsubst.ML: improved version of the subst method, for

single-step rewriting: it now works in bound variable contexts. New is

'subst (asm)', for rewriting an assumption.  INCOMPATIBILITY: may

rewrite a different subterm than the original subst method, which is

still available as 'simplesubst'.

* Provers/quasi.ML: new transitivity reasoners for transitivity only

and quasi orders.

* Provers/trancl.ML: new transitivity reasoner for transitive and

reflexive-transitive closure of relations.

* Provers/blast.ML: new reference depth_limit to make blast's depth

limit (previously hard-coded with a value of 20) user-definable.

* Provers/simplifier.ML has been moved to Pure, where Simplifier.setup

is peformed already.  Object-logics merely need to finish their

initial simpset configuration as before.  INCOMPATIBILITY.

*** HOL ***

* Symbolic syntax of Hilbert Choice Operator is now as follows:

  syntax (epsilon)

    "_Eps" :: "[pttrn, bool] => 'a"    ("(3\<some>_./ _)" [0, 10] 10)

The symbol \<some> is displayed as the alternative epsilon of LaTeX

and x-symbol; use option '-m epsilon' to get it actually printed.

Moreover, the mathematically important symbolic identifier \<epsilon>

becomes available as variable, constant etc.  INCOMPATIBILITY,

* "x > y" abbreviates "y < x" and "x >= y" abbreviates "y <= x".

Similarly for all quantifiers: "ALL x > y" etc.  The x-symbol for >=

is \<ge>. New transitivity rules have been added to HOL/Orderings.thy to

support corresponding Isar calculations.

* "{x:A. P}" abbreviates "{x. x:A & P}", and similarly for "\<in>"

instead of ":".

* theory SetInterval: changed the syntax for open intervals:

  Old       New

  {..n(}    {..<n}

  {)n..}    {n<..}

  {m..n(}   {m..<n}

  {)m..n}   {m<..n}

  {)m..n(}  {m<..<n}

The old syntax is still supported but will disappear in the next

release.  For conversion use the following Emacs search and replace

patterns (these are not perfect but work quite well):

  {)\([^\.]*\)\.\.  ->  {\1<\.\.}

  \.\.\([^(}]*\)(}  ->  \.\.<\1}

* Theory Commutative_Ring (in Library): method comm_ring for proving

equalities in commutative rings; method 'algebra' provides a generic

interface.

* Theory Finite_Set: changed the syntax for 'setsum', summation over

finite sets: "setsum (%x. e) A", which used to be "\<Sum>x:A. e", is

now either "SUM x:A. e" or "\<Sum>x \<in> A. e". The bound variable can

be a tuple pattern.

Some new syntax forms are available:

  "\<Sum>x | P. e"      for     "setsum (%x. e) {x. P}"

  "\<Sum>x = a..b. e"   for     "setsum (%x. e) {a..b}"

  "\<Sum>x = a..<b. e"  for     "setsum (%x. e) {a..<b}"

  "\<Sum>x < k. e"      for     "setsum (%x. e) {..<k}"

The latter form "\<Sum>x < k. e" used to be based on a separate

function "Summation", which has been discontinued.

* theory Finite_Set: in structured induction proofs, the insert case

is now 'case (insert x F)' instead of the old counterintuitive 'case

(insert F x)'.

* The 'refute' command has been extended to support a much larger

fragment of HOL, including axiomatic type classes, constdefs and

typedefs, inductive datatypes and recursion.

* New tactics 'sat' and 'satx' to prove propositional tautologies.

Requires zChaff with proof generation to be installed.  See

HOL/ex/SAT_Examples.thy for examples.

* Datatype induction via method 'induct' now preserves the name of the

induction variable. For example, when proving P(xs::'a list) by

induction on xs, the induction step is now P(xs) ==> P(a#xs) rather

than P(list) ==> P(a#list) as previously.  Potential INCOMPATIBILITY

in unstructured proof scripts.

* Reworked implementation of records.  Improved scalability for

records with many fields, avoiding performance problems for type

inference. Records are no longer composed of nested field types, but

of nested extension types. Therefore the record type only grows linear

in the number of extensions and not in the number of fields.  The

top-level (users) view on records is preserved.  Potential

INCOMPATIBILITY only in strange cases, where the theory depends on the

old record representation. The type generated for a record is called

<record_name>_ext_type.

Flag record_quick_and_dirty_sensitive can be enabled to skip the

proofs triggered by a record definition or a simproc (if

quick_and_dirty is enabled).  Definitions of large records can take

quite long.

New simproc record_upd_simproc for simplification of multiple record

updates enabled by default.  Moreover, trivial updates are also

removed: r(|x := x r|) = r.  INCOMPATIBILITY: old proofs break

occasionally, since simplification is more powerful by default.

* typedef: proper support for polymorphic sets, which contain extra

type-variables in the term.

* Simplifier: automatically reasons about transitivity chains

involving "trancl" (r^+) and "rtrancl" (r^*) by setting up tactics

provided by Provers/trancl.ML as additional solvers.  INCOMPATIBILITY:

old proofs break occasionally as simplification may now solve more

goals than previously.

* Simplifier: converts x <= y into x = y if assumption y <= x is

present.  Works for all partial orders (class "order"), in particular

numbers and sets.  For linear orders (e.g. numbers) it treats ~ x < y

just like y <= x.

* Simplifier: new simproc for "let x = a in f x".  If a is a free or

bound variable or a constant then the let is unfolded.  Otherwise

first a is simplified to b, and then f b is simplified to g. If

possible we abstract b from g arriving at "let x = b in h x",

otherwise we unfold the let and arrive at g.  The simproc can be

enabled/disabled by the reference use_let_simproc.  Potential

INCOMPATIBILITY since simplification is more powerful by default.

* Classical reasoning: the meson method now accepts theorems as arguments.

* Prover support: pre-release of the Isabelle-ATP linkup, which runs background

jobs to provide advice on the provability of subgoals.

* Theory OrderedGroup and Ring_and_Field: various additions and

improvements to faciliate calculations involving equalities and

inequalities.

The following theorems have been eliminated or modified

(INCOMPATIBILITY):

  abs_eq             now named abs_of_nonneg

  abs_of_ge_0        now named abs_of_nonneg

  abs_minus_eq       now named abs_of_nonpos

  imp_abs_id         now named abs_of_nonneg

  imp_abs_neg_id     now named abs_of_nonpos

  mult_pos           now named mult_pos_pos

  mult_pos_le        now named mult_nonneg_nonneg

  mult_pos_neg_le    now named mult_nonneg_nonpos

  mult_pos_neg2_le   now named mult_nonneg_nonpos2

  mult_neg           now named mult_neg_neg

  mult_neg_le        now named mult_nonpos_nonpos

* Theory Parity: added rules for simplifying exponents.

* Theory List:

The following theorems have been eliminated or modified

(INCOMPATIBILITY):

  list_all_Nil       now named list_all.simps(1)

  list_all_Cons      now named list_all.simps(2)

  list_all_conv      now named list_all_iff

  set_mem_eq         now named mem_iff

* Theories SetsAndFunctions and BigO (see HOL/Library) support

asymptotic "big O" calculations.  See the notes in BigO.thy.

*** HOL-Complex ***

* Theory RealDef: better support for embedding natural numbers and

integers in the reals.

The following theorems have been eliminated or modified

(INCOMPATIBILITY):

  exp_ge_add_one_self  now requires no hypotheses

  real_of_int_add      reversed direction of equality (use [symmetric])

  real_of_int_minus    reversed direction of equality (use [symmetric])

  real_of_int_diff     reversed direction of equality (use [symmetric])

  real_of_int_mult     reversed direction of equality (use [symmetric])

* Theory RComplete: expanded support for floor and ceiling functions.

* Theory Ln is new, with properties of the natural logarithm

* Hyperreal: There is a new type constructor "star" for making

nonstandard types.  The old type names are now type synonyms:

  hypreal = real star

  hypnat = nat star

  hcomplex = complex star

* Hyperreal: Many groups of similarly-defined constants have been

replaced by polymorphic versions (INCOMPATIBILITY):

  star_of <-- hypreal_of_real, hypnat_of_nat, hcomplex_of_complex

  starset      <-- starsetNat, starsetC

  *s*          <-- *sNat*, *sc*

  starset_n    <-- starsetNat_n, starsetC_n

  *sn*         <-- *sNatn*, *scn*

  InternalSets <-- InternalNatSets, InternalCSets

  starfun      <-- starfun{Nat,Nat2,C,RC,CR}

  *f*          <-- *fNat*, *fNat2*, *fc*, *fRc*, *fcR*

  starfun_n    <-- starfun{Nat,Nat2,C,RC,CR}_n

  *fn*         <-- *fNatn*, *fNat2n*, *fcn*, *fRcn*, *fcRn*

  InternalFuns <-- InternalNatFuns, InternalNatFuns2, Internal{C,RC,CR}Funs

* Hyperreal: Many type-specific theorems have been removed in favor of

theorems specific to various axiomatic type classes (INCOMPATIBILITY):

  add_commute <-- {hypreal,hypnat,hcomplex}_add_commute

  add_assoc   <-- {hypreal,hypnat,hcomplex}_add_assocs

  OrderedGroup.add_0 <-- {hypreal,hypnat,hcomplex}_add_zero_left

  OrderedGroup.add_0_right <-- {hypreal,hcomplex}_add_zero_right

  right_minus <-- hypreal_add_minus

  left_minus <-- {hypreal,hcomplex}_add_minus_left

  mult_commute <-- {hypreal,hypnat,hcomplex}_mult_commute

  mult_assoc <-- {hypreal,hypnat,hcomplex}_mult_assoc

  mult_1_left <-- {hypreal,hypnat}_mult_1, hcomplex_mult_one_left

  mult_1_right <-- hcomplex_mult_one_right

  mult_zero_left <-- hcomplex_mult_zero_left

  left_distrib <-- {hypreal,hypnat,hcomplex}_add_mult_distrib

  right_distrib <-- hypnat_add_mult_distrib2

  zero_neq_one <-- {hypreal,hypnat,hcomplex}_zero_not_eq_one

  right_inverse <-- hypreal_mult_inverse

  left_inverse <-- hypreal_mult_inverse_left, hcomplex_mult_inv_left

  order_refl <-- {hypreal,hypnat}_le_refl

  order_trans <-- {hypreal,hypnat}_le_trans

  order_antisym <-- {hypreal,hypnat}_le_anti_sym

  order_less_le <-- {hypreal,hypnat}_less_le

  linorder_linear <-- {hypreal,hypnat}_le_linear

  add_left_mono <-- {hypreal,hypnat}_add_left_mono

  mult_strict_left_mono <-- {hypreal,hypnat}_mult_less_mono2

  add_nonneg_nonneg <-- hypreal_le_add_order

* Hyperreal: Separate theorems having to do with type-specific

versions of constants have been merged into theorems that apply to the

new polymorphic constants (INCOMPATIBILITY):

  STAR_UNIV_set <-- {STAR_real,NatStar_real,STARC_complex}_set

  STAR_empty_set <-- {STAR,NatStar,STARC}_empty_set

  STAR_Un <-- {STAR,NatStar,STARC}_Un

  STAR_Int <-- {STAR,NatStar,STARC}_Int

  STAR_Compl <-- {STAR,NatStar,STARC}_Compl

  STAR_subset <-- {STAR,NatStar,STARC}_subset

  STAR_mem <-- {STAR,NatStar,STARC}_mem

  STAR_mem_Compl <-- {STAR,STARC}_mem_Compl

  STAR_diff <-- {STAR,STARC}_diff

  STAR_star_of_image_subset <-- {STAR_hypreal_of_real, NatStar_hypreal_of_real,

    STARC_hcomplex_of_complex}_image_subset

  starset_n_Un <-- starset{Nat,C}_n_Un

  starset_n_Int <-- starset{Nat,C}_n_Int

  starset_n_Compl <-- starset{Nat,C}_n_Compl

  starset_n_diff <-- starset{Nat,C}_n_diff

  InternalSets_Un <-- Internal{Nat,C}Sets_Un

  InternalSets_Int <-- Internal{Nat,C}Sets_Int

  InternalSets_Compl <-- Internal{Nat,C}Sets_Compl

  InternalSets_diff <-- Internal{Nat,C}Sets_diff

  InternalSets_UNIV_diff <-- Internal{Nat,C}Sets_UNIV_diff

  InternalSets_starset_n <-- Internal{Nat,C}Sets_starset{Nat,C}_n

  starset_starset_n_eq <-- starset{Nat,C}_starset{Nat,C}_n_eq

  starset_n_starset <-- starset{Nat,C}_n_starset{Nat,C}

  starfun_n_starfun <-- starfun{Nat,Nat2,C,RC,CR}_n_starfun{Nat,Nat2,C,RC,CR}

  starfun <-- starfun{Nat,Nat2,C,RC,CR}

  starfun_mult <-- starfun{Nat,Nat2,C,RC,CR}_mult

  starfun_add <-- starfun{Nat,Nat2,C,RC,CR}_add

  starfun_minus <-- starfun{Nat,Nat2,C,RC,CR}_minus

  starfun_diff <-- starfun{C,RC,CR}_diff

  starfun_o <-- starfun{NatNat2,Nat2,_stafunNat,C,C_starfunRC,_starfunCR}_o

  starfun_o2 <-- starfun{NatNat2,_stafunNat,C,C_starfunRC,_starfunCR}_o2

  starfun_const_fun <-- starfun{Nat,Nat2,C,RC,CR}_const_fun

  starfun_inverse <-- starfun{Nat,C,RC,CR}_inverse

  starfun_eq <-- starfun{Nat,Nat2,C,RC,CR}_eq

  starfun_eq_iff <-- starfun{C,RC,CR}_eq_iff

  starfun_Id <-- starfunC_Id

  starfun_approx <-- starfun{Nat,CR}_approx

  starfun_capprox <-- starfun{C,RC}_capprox

  starfun_abs <-- starfunNat_rabs

  starfun_lambda_cancel <-- starfun{C,CR,RC}_lambda_cancel

  starfun_lambda_cancel2 <-- starfun{C,CR,RC}_lambda_cancel2

  starfun_mult_HFinite_approx <-- starfunCR_mult_HFinite_capprox

  starfun_mult_CFinite_capprox <-- starfun{C,RC}_mult_CFinite_capprox

  starfun_add_capprox <-- starfun{C,RC}_add_capprox

  starfun_add_approx <-- starfunCR_add_approx

  starfun_inverse_inverse <-- starfunC_inverse_inverse

  starfun_divide <-- starfun{C,CR,RC}_divide

  starfun_n <-- starfun{Nat,C}_n

  starfun_n_mult <-- starfun{Nat,C}_n_mult

  starfun_n_add <-- starfun{Nat,C}_n_add

  starfun_n_add_minus <-- starfunNat_n_add_minus

  starfun_n_const_fun <-- starfun{Nat,C}_n_const_fun

  starfun_n_minus <-- starfun{Nat,C}_n_minus

  starfun_n_eq <-- starfun{Nat,C}_n_eq

  star_n_add <-- {hypreal,hypnat,hcomplex}_add

  star_n_minus <-- {hypreal,hcomplex}_minus

  star_n_diff <-- {hypreal,hcomplex}_diff

  star_n_mult <-- {hypreal,hcomplex}_mult

  star_n_inverse <-- {hypreal,hcomplex}_inverse

  star_n_le <-- {hypreal,hypnat}_le

  star_n_less <-- {hypreal,hypnat}_less

  star_n_zero_num <-- {hypreal,hypnat,hcomplex}_zero_num

  star_n_one_num <-- {hypreal,hypnat,hcomplex}_one_num

  star_n_abs <-- hypreal_hrabs

  star_n_divide <-- hcomplex_divide

  star_of_add <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_add

  star_of_minus <-- {hypreal_of_real,hcomplex_of_complex}_minus

  star_of_diff <-- hypreal_of_real_diff

  star_of_mult <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_mult

  star_of_one <-- {hypreal_of_real,hcomplex_of_complex}_one

  star_of_zero <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_zero

  star_of_le <-- {hypreal_of_real,hypnat_of_nat}_le_iff

  star_of_less <-- {hypreal_of_real,hypnat_of_nat}_less_iff

  star_of_eq <-- {hypreal_of_real,hypnat_of_nat,hcomplex_of_complex}_eq_iff

  star_of_inverse <-- {hypreal_of_real,hcomplex_of_complex}_inverse

  star_of_divide <-- {hypreal_of_real,hcomplex_of_complex}_divide

  star_of_of_nat <-- {hypreal_of_real,hcomplex_of_complex}_of_nat

  star_of_of_int <-- {hypreal_of_real,hcomplex_of_complex}_of_int

  star_of_number_of <-- {hypreal,hcomplex}_number_of

  star_of_number_less <-- number_of_less_hypreal_of_real_iff

  star_of_number_le <-- number_of_le_hypreal_of_real_iff

  star_of_eq_number <-- hypreal_of_real_eq_number_of_iff

  star_of_less_number <-- hypreal_of_real_less_number_of_iff

  star_of_le_number <-- hypreal_of_real_le_number_of_iff

  star_of_power <-- hypreal_of_real_power

  star_of_eq_0 <-- hcomplex_of_complex_zero_iff

* Hyperreal: new method "transfer" that implements the transfer

principle of nonstandard analysis. With a subgoal that mentions

nonstandard types like "'a star", the command "apply transfer"

replaces it with an equivalent one that mentions only standard types.

To be successful, all free variables must have standard types; non-

standard variables must have explicit universal quantifiers.

* Hyperreal: A theory of Taylor series.

*** HOLCF ***

* Discontinued special version of 'constdefs' (which used to support

continuous functions) in favor of the general Pure one with full

type-inference.

* New simplification procedure for solving continuity conditions; it

is much faster on terms with many nested lambda abstractions (cubic

instead of exponential time).

* New syntax for domain package: selector names are now optional.

Parentheses should be omitted unless argument is lazy, for example:

  domain 'a stream = cons "'a" (lazy "'a stream")

* New command 'fixrec' for defining recursive functions with pattern

matching; defining multiple functions with mutual recursion is also

supported.  Patterns may include the constants cpair, spair, up, sinl,

sinr, or any data constructor defined by the domain package. The given

equations are proven as rewrite rules. See HOLCF/ex/Fixrec_ex.thy for

syntax and examples.

* New commands 'cpodef' and 'pcpodef' for defining predicate subtypes

of cpo and pcpo types. Syntax is exactly like the 'typedef' command,

but the proof obligation additionally includes an admissibility

requirement. The packages generate instances of class cpo or pcpo,

with continuity and strictness theorems for Rep and Abs.