author wenzelm
Tue, 15 Jan 2002 18:51:20 +0100
changeset 12769 0f70bfe510ee
parent 12754 044a59921f3b
child 12777 70b2651af635
permissions -rw-r--r--

Isabelle NEWS -- history user-relevant changes

New in Isabelle2002 (January 2002)

*** Document preparation ***

* greatly simplified document preparation setup, including more
graceful interpretation of isatool usedir -i/-d/-D options, and more
instructive isatool mkdir; users should basically be able to get
started with "isatool mkdir Test && isatool make";

* theory dependency graph may now be incorporated into documents;
isatool usedir -g true will produce session_graph.eps/.pdf for use
with \includegraphics of LaTeX;

* proper spacing of consecutive markup elements, especially text
blocks after section headings;

* support bold style (for single symbols only), input syntax is like
this: "\<^bold>\<alpha>" or "\<^bold>A";

* \<bullet> is now output as bold \cdot by default, which looks much
better in printed text;

* added default LaTeX bindings for \<tturnstile> and \<TTurnstile>;
note that these symbols are currently unavailable in Proof General /
X-Symbol; new symbols \<zero>, \<one>, ..., \<nine>, and \<euro>;

* isatool latex no longer depends on changed TEXINPUTS, instead
isatool document copies the Isabelle style files to the target

*** Isar ***

* Pure/Provers: improved proof by cases and induction;
  - 'case' command admits impromptu naming of parameters (such as
    "case (Suc n)");
  - 'induct' method divinates rule instantiation from the inductive
    claim; no longer requires excessive ?P bindings for proper
    instantiation of cases;
  - 'induct' method properly enumerates all possibilities of set/type
    rules; as a consequence facts may be also passed through *type*
    rules without further ado;
  - 'induct' method now derives symbolic cases from the *rulified*
    rule (before it used to rulify cases stemming from the internal
    atomized version); this means that the context of a non-atomic
    statement becomes is included in the hypothesis, avoiding the
    slightly cumbersome show "PROP ?case" form;
  - 'induct' may now use elim-style induction rules without chaining
    facts, using ``missing'' premises from the goal state; this allows
    rules stemming from inductive sets to be applied in unstructured
    scripts, while still benefitting from proper handling of non-atomic
    statements; NB: major inductive premises need to be put first, all
    the rest of the goal is passed through the induction;
  - 'induct' proper support for mutual induction involving non-atomic
    rule statements (uses the new concept of simultaneous goals, see
  - removed obsolete "(simplified)" and "(stripped)" options of methods;
  - undeclared rule case names default to numbers 1, 2, 3, ...;
  - added 'print_induct_rules' (covered by help item in recent Proof
    General versions);
  - moved induct/cases attributes to Pure, methods to Provers;
  - generic method setup instantiated for FOL and HOL;

* Pure: support multiple simultaneous goal statements, for example
"have a: A and b: B" (same for 'theorem' etc.); being a pure
meta-level mechanism, this acts as if several individual goals had
been stated separately; in particular common proof methods need to be
repeated in order to cover all claims; note that a single elimination
step is *not* sufficient to establish the two conjunctions, so this

  assume "A & B" then have A and B ..   (*".." fails*)

better use "obtain" in situations as above; alternative refer to
multi-step methods like 'auto', 'simp_all', 'blast+' etc.;

* Pure: proper integration with ``locales''; unlike the original
version by Florian Kammüller, Isar locales package high-level proof
contexts rather than raw logical ones (e.g. we admit to include
attributes everywhere); operations on locales include merge and
rename; e.g. see HOL/ex/Locales.thy;

* Pure: the following commands have been ``localized'', supporting a
target locale specification "(in name)": 'lemma', 'theorem',
'corollary', 'lemmas', 'theorems', 'declare'; the results will be
stored both within the locale and at the theory level (exported and
qualified by the locale name);

* Pure: theory goals now support ad-hoc contexts, which are discharged
in the result, as in ``lemma (assumes A and B) K: A .''; syntax
coincides with that of a locale body;

* Pure: renamed "antecedent" case to "rule_context";

* Pure: added 'corollary' command;

* Pure: fixed 'token_translation' command;

* Pure: removed obsolete 'exported' attribute;

* Pure: dummy pattern "_" in is/let is now automatically lifted over
bound variables: "ALL x. P x --> Q x" (is "ALL x. _ --> ?C x")
supersedes more cumbersome ... (is "ALL x. _ x --> ?C x");

* Pure: method 'atomize' presents local goal premises as object-level
statements (atomic meta-level propositions); setup controlled via
rewrite rules declarations of 'atomize' attribute; example
application: 'induct' method with proper rule statements in improper
proof *scripts*;

* Pure: emulation of instantiation tactics (rule_tac, cut_tac, etc.)
now consider the syntactic context of assumptions, giving a better
chance to get type-inference of the arguments right (this is
especially important for locales);

* Pure: "sorry" no longer requires quick_and_dirty in interactive

* Pure/obtain: the formal conclusion "thesis", being marked as
``internal'', may no longer be reference directly in the text;
potential INCOMPATIBILITY, may need to use "?thesis" in rare

* Pure: generic 'sym' attribute which declares a rule both as pure
'elim?' and for the 'symmetric' operation;

* Pure/Provers/classical: simplified integration with pure rule
attributes and methods; the classical "intro?/elim?/dest?"
declarations coincide with the pure ones; the "rule" method no longer
includes classically swapped intros; "intro" and "elim" methods no
longer pick rules from the context; also got rid of ML declarations
AddXIs/AddXEs/AddXDs; all of this has some potential for

* Provers/classical: attribute 'swapped' produces classical inversions
of introduction rules;

* Provers/simplifier: 'simplified' attribute may refer to explicit
rules instead of full simplifier context; 'iff' attribute handles
conditional rules;

* HOL: 'typedef' now allows alternative names for Rep/Abs morphisms;

* HOL: 'recdef' now fails on unfinished automated proofs, use
"(permissive)" option to recover old behavior;

* HOL: 'inductive' no longer features separate (collective) attributes
for 'intros' (was found too confusing);

* HOL: properly declared induction rules less_induct and

*** HOL ***

* HOL: moved over to sane numeral syntax; the new policy is as

  - 0 and 1 are polymorphic constants, which are defined on any
  numeric type (nat, int, real etc.);

  - 2, 3, 4, ... and -1, -2, -3, ... are polymorphic numerals, based
  binary representation internally;

  - type nat has special constructor Suc, and generally prefers Suc 0
  over 1::nat and Suc (Suc 0) over 2::nat;

This change may cause significant problems of INCOMPATIBILITY; here
are some hints on converting existing sources:

  - due to the new "num" token, "-0" and "-1" etc. are now atomic
  entities, so expressions involving "-" (unary or binary minus) need
  to be spaced properly;

  - existing occurrences of "1" may need to be constraint "1::nat" or
  even replaced by Suc 0; similar for old "2";

  - replace "#nnn" by "nnn", and "#-nnn" by "-nnn";

  - remove all special provisions on numerals in proofs;

* HOL: symbolic syntax for x^2 (numeral 2);

* HOL: the class of all HOL types is now called "type" rather than
"term"; INCOMPATIBILITY, need to adapt references to this type class
in axclass/classes, instance/arities, and (usually rare) occurrences
in typings (of consts etc.); internally the class is called
"HOL.type", ML programs should refer to HOLogic.typeS;

* HOL/record package improvements:
  - new derived operations "fields" to build a partial record section,
    "extend" to promote a fixed record to a record scheme, and
    "truncate" for the reverse; cf. theorems "xxx.defs", which are *not*
    declared as simp by default;
  - shared operations ("more", "fields", etc.) now need to be always
    qualified) --- potential INCOMPATIBILITY;
  - removed "make_scheme" operations (use "make" with "extend") --
  - removed "more" class (simply use "term") -- INCOMPATIBILITY;
  - provides cases/induct rules for use with corresponding Isar
    methods (for concrete records, record schemes, concrete more
    parts, and schematic more parts -- in that order);
  - internal definitions directly based on a light-weight abstract
    theory of product types over typedef rather than datatype;

* HOL: canonical cases/induct rules for n-tuples (n = 3..7);

* HOL: concrete setsum syntax "\<Sum>i:A. b" == "setsum (%i. b) A"
(beware of argument permutation!);

* HOL: linorder_less_split superseded by linorder_cases;

* HOL: added "The" definite description operator; move Hilbert's "Eps"
to peripheral theory "Hilbert_Choice";

* HOL: made split_all_tac safe; EXISTING PROOFS MAY FAIL OR LOOP, so
in this (rare) case use:

  delSWrapper "split_all_tac"
  addSbefore ("unsafe_split_all_tac", unsafe_split_all_tac)

* HOL: added safe wrapper "split_conv_tac" to claset; EXISTING PROOFS

* HOL: introduced f^n = f o ... o f; warning: due to the limits of
Isabelle's type classes, ^ on functions and relations has too general
a domain, namely ('a * 'b) set and 'a => 'b; this means that it may be
necessary to attach explicit type constraints;

* HOL/Relation: the prefix name of the infix "O" has been changed from "comp"
to "rel_comp"; INCOMPATIBILITY: a few theorems have been renamed accordingly
(eg "compI" -> "rel_compI").

* HOL: syntax translations now work properly with numerals and records

* HOL: bounded abstraction now uses syntax "%" / "\<lambda>" instead

* HOL: got rid of some global declarations (potential INCOMPATIBILITY
for ML tools): const "()" renamed "Product_Type.Unity", type "unit"
renamed "Product_Type.unit";

* HOL: renamed rtrancl_into_rtrancl2 to converse_rtrancl_into_rtrancl

* HOL/GroupTheory: group theory examples including Sylow's theorem (by
Florian Kammüller);

* HOL/IMP: updated and converted to new-style theory format; several
parts turned into readable document, with proper Isar proof texts and
some explanations (by Gerwin Klein);

* HOL-Real: added Complex_Numbers (by Gertrud Bauer);

* HOL-Hyperreal is now a logic image;

*** HOLCF ***

* Isar: consts/constdefs supports mixfix syntax for continuous

* Isar: domain package adapted to new-style theory format, e.g. see

* theory Lift: proper use of rep_datatype lift instead of ML hacks --
potential INCOMPATIBILITY; now use plain induct_tac instead of former
lift.induct_tac, always use UU instead of Undef;

* HOLCF/IMP: updated and converted to new-style theory;

*** ZF ***

* Isar: proper integration of logic-specific tools and packages,
including theory commands '(co)inductive', '(co)datatype',
'rep_datatype', 'inductive_cases', as well as methods 'ind_cases',
'induct_tac', 'case_tac', and 'typecheck' (with attribute 'TC');

* theory Main no longer includes AC; for the Axiom of Choice, base
your theory on Main_ZFC;

* the integer library now covers quotients and remainders, with many
laws relating division to addition, multiplication, etc.;

* ZF/UNITY: Chandy and Misra's UNITY is now available in ZF, giving a
typeless version of the formalism;

* ZF/IMP: updated and converted to new-style theory format;

* ZF/Induct: new directory for examples of inductive definitions,
including theory Multiset for multiset orderings; converted to
new-style theory format;

*** General ***

* Pure/kernel: meta-level proof terms (by Stefan Berghofer); reference
variable proof controls level of detail: 0 = no proofs (only oracle
dependencies), 1 = lemma dependencies, 2 = compact proof terms; see
also ref manual for further ML interfaces;

* Pure/axclass: removed obsolete ML interface

* Pure/syntax: new token syntax "num" for plain numerals (without "#"
of "xnum"); potential INCOMPATIBILITY, since -0, -1 etc. are now
separate tokens, so expressions involving minus need to be spaced

* Pure/syntax: support non-oriented infixes, using keyword "infix"
rather than "infixl" or "infixr";

* Pure/syntax: concrete syntax for dummy type variables admits genuine
sort constraint specifications in type inference; e.g. "x::_::foo"
ensures that the type of "x" is of sort "foo" (but not necessarily a
type variable);

* Pure/syntax: print modes "type_brackets" and "no_type_brackets"
control output of nested => (types); the default behavior is

* Pure/syntax: builtin parse translation for "_constify" turns valued
tokens into AST constants;

* Pure/syntax: prefer later declarations of translations and print
translation functions; potential INCOMPATIBILITY: need to reverse
multiple declarations for same syntax element constant;

* Provers/classical: renamed addaltern to addafter, addSaltern to

* Provers/clasimp: ``iff'' declarations now handle conditional rules
as well;

* system: tested support for MacOS X; should be able to get Isabelle +
Proof General to work in a plain Terminal after installing Poly/ML
(e.g. from the Isabelle distribution area) and GNU bash alone
(e.g. from; full X11, XEmacs and X-Symbol
support requires further installations, e.g. from;

* system: support Poly/ML 4.1.1 (able to manage larger heaps);

* system: reduced base memory usage by Poly/ML (approx. 20 MB instead
of 40 MB), cf. ML_OPTIONS;

* system: Proof General keywords specification is now part of the
Isabelle distribution (see etc/isar-keywords.el);

* system: support for persistent Proof General sessions (refrain from
outdating all loaded theories on startup); user may create writable
logic images like this: ``isabelle -q HOL Test'';

* system: smart selection of Isabelle process versus Isabelle
interface, accommodates case-insensitive file systems (e.g. HFS+); may
run both "isabelle" and "Isabelle" even if file names are badly
damaged (executable inspects the case of the first letter of its own
name); added separate "isabelle-process" and "isabelle-interface";

* system: refrain from any attempt at filtering input streams; no
longer support ``8bit'' encoding of old isabelle font, instead proper
iso-latin characters may now be used; the related isatools
"symbolinput" and "nonascii" have disappeared as well;

* system: removed old "xterm" interface (the print modes "xterm" and
"xterm_color" are still available for direct use in a suitable

New in Isabelle99-2 (February 2001)

*** Overview of INCOMPATIBILITIES ***

* HOL: please note that theories in the Library and elsewhere often use the
new-style (Isar) format; to refer to their theorems in an ML script you must
bind them to ML identifers by e.g.      val thm_name = thm "thm_name";

* HOL: inductive package no longer splits induction rule aggressively,
but only as far as specified by the introductions given; the old
format may be recovered via ML function complete_split_rule or attribute
'split_rule (complete)';

* HOL: induct renamed to lfp_induct, lfp_Tarski to lfp_unfold,
gfp_Tarski to gfp_unfold;

* HOL: contrapos, contrapos2 renamed to contrapos_nn, contrapos_pp;

* HOL: infix "dvd" now has priority 50 rather than 70 (because it is a
relation); infix "^^" has been renamed "``"; infix "``" has been
renamed "`"; "univalent" has been renamed "single_valued";

* HOL/Real: "rinv" and "hrinv" replaced by overloaded "inverse"

* HOLCF: infix "`" has been renamed "$"; the symbol syntax is \<cdot>;

* Isar: 'obtain' no longer declares "that" fact as simp/intro;

* Isar/HOL: method 'induct' now handles non-atomic goals; as a
consequence, it is no longer monotonic wrt. the local goal context
(which is now passed through the inductive cases);

* Document preparation: renamed standard symbols \<ll> to \<lless> and
\<gg> to \<ggreater>;

*** Document preparation ***

* \isabellestyle{NAME} selects version of Isabelle output (currently
available: are "it" for near math-mode best-style output, "sl" for
slanted text style, and "tt" for plain type-writer; if no
\isabellestyle command is given, output is according to slanted

* support sub/super scripts (for single symbols only), input syntax is
like this: "A\<^sup>*" or "A\<^sup>\<star>";

* some more standard symbols; see Appendix A of the system manual for
the complete list of symbols defined in isabellesym.sty;

* improved isabelle style files; more abstract symbol implementation
(should now use \isamath{...} and \isatext{...} in custom symbol

* antiquotation @{goals} and @{subgoals} for output of *dynamic* goals
state; Note that presentation of goal states does not conform to
actual human-readable proof documents.  Please do not include goal
states into document output unless you really know what you are doing!

* proper indentation of antiquoted output with proportional LaTeX

* no_document ML operator temporarily disables LaTeX document

* isatool unsymbolize tunes sources for plain ASCII communication;

*** Isar ***

* Pure: Isar now suffers initial goal statements to contain unbound
schematic variables (this does not conform to actual readable proof
documents, due to unpredictable outcome and non-compositional proof
checking); users who know what they are doing may use schematic goals
for Prolog-style synthesis of proven results;

* Pure: assumption method (an implicit finishing) now handles actual
rules as well;

* Pure: improved 'obtain' --- moved to Pure, insert "that" into
initial goal, declare "that" only as Pure intro (only for single
steps); the "that" rule assumption may now be involved in implicit
finishing, thus ".." becomes a feasible for trivial obtains;

* Pure: default proof step now includes 'intro_classes'; thus trivial
instance proofs may be performed by "..";

* Pure: ?thesis / ?this / "..." now work for pure meta-level
statements as well;

* Pure: more robust selection of calculational rules;

* Pure: the builtin notion of 'finished' goal now includes the ==-refl
rule (as well as the assumption rule);

* Pure: 'thm_deps' command visualizes dependencies of theorems and
lemmas, using the graph browser tool;

* Pure: predict failure of "show" in interactive mode;

* Pure: 'thms_containing' now takes actual terms as arguments;

* HOL: improved method 'induct' --- now handles non-atomic goals
(potential INCOMPATIBILITY); tuned error handling;

* HOL: cases and induct rules now provide explicit hints about the
number of facts to be consumed (0 for "type" and 1 for "set" rules);
any remaining facts are inserted into the goal verbatim;

* HOL: local contexts (aka cases) may now contain term bindings as
well; the 'cases' and 'induct' methods new provide a ?case binding for
the result to be shown in each case;

* HOL: added 'recdef_tc' command;

* isatool convert assists in eliminating legacy ML scripts;

*** HOL ***

* HOL/Library: a collection of generic theories to be used together
with main HOL; the theory loader path already includes this directory
by default; the following existing theories have been moved here:
HOL/Induct/Multiset, HOL/Induct/Acc (as Accessible_Part), HOL/While
(as While_Combinator), HOL/Lex/Prefix (as List_Prefix);

* HOL/Unix: "Some aspects of Unix file-system security", a typical
modelling and verification task performed in Isabelle/HOL +
Isabelle/Isar + Isabelle document preparation (by Markus Wenzel).

* HOL/Algebra: special summation operator SUM no longer exists, it has
been replaced by setsum; infix 'assoc' now has priority 50 (like
'dvd'); axiom 'one_not_zero' has been moved from axclass 'ring' to
'domain', this makes the theory consistent with mathematical

* HOL basics: added overloaded operations "inverse" and "divide"
(infix "/"), syntax for generic "abs" operation, generic summation
operator \<Sum>;

* HOL/typedef: simplified package, provide more useful rules (see also

* HOL/datatype: induction rule for arbitrarily branching datatypes is
now expressed as a proper nested rule (old-style tactic scripts may
require atomize_strip_tac to cope with non-atomic premises);

* HOL: renamed theory "Prod" to "Product_Type", renamed "split" rule
to "split_conv" (old name still available for compatibility);

* HOL: improved concrete syntax for strings (e.g. allows translation
rules with string literals);

* HOL-Real-Hyperreal: this extends HOL-Real with the hyperreals
 and Fleuriot's mechanization of analysis, including the transcendental
 functions for the reals;

* HOL/Real, HOL/Hyperreal: improved arithmetic simplification;

*** CTT ***

* CTT: x-symbol support for Pi, Sigma, -->, : (membership); note that
"lam" is displayed as TWO lambda-symbols

* CTT: theory Main now available, containing everything (that is, Bool
and Arith);

*** General ***

* Pure: the Simplifier has been implemented properly as a derived rule
outside of the actual kernel (at last!); the overall performance
penalty in practical applications is about 50%, while reliability of
the Isabelle inference kernel has been greatly improved;

* print modes "brackets" and "no_brackets" control output of nested =>
(types) and ==> (props); the default behaviour is "brackets";

* Provers: fast_tac (and friends) now handle actual object-logic rules
as assumptions as well;

* system: support Poly/ML 4.0;

* system: isatool install handles KDE version 1 or 2;

New in Isabelle99-1 (October 2000)

*** Overview of INCOMPATIBILITIES ***

* HOL: simplification of natural numbers is much changed; to partly
recover the old behaviour (e.g. to prevent n+n rewriting to #2*n)
issue the following ML commands:

  Delsimprocs Nat_Numeral_Simprocs.cancel_numerals;
  Delsimprocs [Nat_Numeral_Simprocs.combine_numerals];

* HOL: simplification no longer dives into case-expressions; this is
controlled by "t.weak_case_cong" for each datatype t;

* HOL: nat_less_induct renamed to less_induct;

* HOL: systematic renaming of the SOME (Eps) rules, may use isatool
fixsome to patch .thy and .ML sources automatically;

  select_equality  -> some_equality
  select_eq_Ex     -> some_eq_ex
  selectI2EX       -> someI2_ex
  selectI2         -> someI2
  selectI          -> someI
  select1_equality -> some1_equality
  Eps_sym_eq       -> some_sym_eq_trivial
  Eps_eq           -> some_eq_trivial

* HOL: exhaust_tac on datatypes superceded by new generic case_tac;

* HOL: removed obsolete theorem binding expand_if (refer to split_if

* HOL: the recursion equations generated by 'recdef' are now called
f.simps instead of f.rules;

* HOL: qed_spec_mp now also handles bounded ALL as well;

* HOL: 0 is now overloaded, so the type constraint ":: nat" may
sometimes be needed;

* HOL: the constant for "f``x" is now "image" rather than "op ``";

* HOL: the constant for "f-``x" is now "vimage" rather than "op -``";

* HOL: the disjoint sum is now "<+>" instead of "Plus"; the cartesian
product is now "<*>" instead of "Times"; the lexicographic product is
now "<*lex*>" instead of "**";

* HOL: theory Sexp is now in HOL/Induct examples (it used to be part
of main HOL, but was unused); better use HOL's datatype package;

* HOL: removed "symbols" syntax for constant "override" of theory Map;
the old syntax may be recovered as follows:

  syntax (symbols)
    override  :: "('a ~=> 'b) => ('a ~=> 'b) => ('a ~=> 'b)"
      (infixl "\\<oplus>" 100)

* HOL/Real: "rabs" replaced by overloaded "abs" function;

* HOL/ML: even fewer consts are declared as global (see theories Ord,
Lfp, Gfp, WF); this only affects ML packages that refer to const names

* HOL and ZF: syntax for quotienting wrt an equivalence relation
changed from A/r to A//r;

* ZF: new treatment of arithmetic (nat & int) may break some old

* Isar: renamed some attributes (RS -> THEN, simplify -> simplified,
rulify -> rule_format, elimify -> elim_format, ...);

* Isar/Provers: intro/elim/dest attributes changed; renamed
intro/intro!/intro!! flags to intro!/intro/intro? (in most cases, one
should have to change intro!! to intro? only); replaced "delrule" by
"rule del";

* Isar/HOL: renamed "intrs" to "intros" in inductive definitions;

* Provers: strengthened force_tac by using new first_best_tac;

* LaTeX document preparation: several changes of isabelle.sty (see

*** Document preparation ***

* formal comments (text blocks etc.) in new-style theories may now
contain antiquotations of thm/prop/term/typ/text to be presented
according to latex print mode; concrete syntax is like this:
@{term[show_types] "f(x) = a + x"};

* isatool mkdir provides easy setup of Isabelle session directories,
including proper document sources;

* generated LaTeX sources are now deleted after successful run
(isatool document -c); may retain a copy somewhere else via -D option
of isatool usedir;

* isatool usedir -D now lets isatool latex -o sty update the Isabelle
style files, achieving self-contained LaTeX sources and simplifying
LaTeX debugging;

* old-style theories now produce (crude) LaTeX output as well;

* browser info session directories are now self-contained (may be put
on WWW server seperately); improved graphs of nested sessions; removed
graph for 'all sessions';

* several improvements in isabelle style files; \isabellestyle{it}
produces fake math mode output; \isamarkupheader is now \section by
default; see lib/texinputs/isabelle.sty etc.;

*** Isar ***

* Isar/Pure: local results and corresponding term bindings are now
subject to Hindley-Milner polymorphism (similar to ML); this
accommodates incremental type-inference very nicely;

* Isar/Pure: new derived language element 'obtain' supports
generalized existence reasoning;

* Isar/Pure: new calculational elements 'moreover' and 'ultimately'
support accumulation of results, without applying any rules yet;
useful to collect intermediate results without explicit name
references, and for use with transitivity rules with more than 2

* Isar/Pure: scalable support for case-analysis type proofs: new
'case' language element refers to local contexts symbolically, as
produced by certain proof methods; internally, case names are attached
to theorems as "tags";

* Isar/Pure: theory command 'hide' removes declarations from
class/type/const name spaces;

* Isar/Pure: theory command 'defs' supports option "(overloaded)" to
indicate potential overloading;

* Isar/Pure: changed syntax of local blocks from {{ }} to { };

* Isar/Pure: syntax of sorts made 'inner', i.e. have to write
"{a,b,c}" instead of {a,b,c};

* Isar/Pure now provides its own version of intro/elim/dest
attributes; useful for building new logics, but beware of confusion
with the version in Provers/classical;

* Isar/Pure: the local context of (non-atomic) goals is provided via
case name 'antecedent';

* Isar/Pure: removed obsolete 'transfer' attribute (transfer of thms
to the current context is now done automatically);

* Isar/Pure: theory command 'method_setup' provides a simple interface
for definining proof methods in ML;

* Isar/Provers: intro/elim/dest attributes changed; renamed
intro/intro!/intro!! flags to intro!/intro/intro? (INCOMPATIBILITY, in
most cases, one should have to change intro!! to intro? only);
replaced "delrule" by "rule del";

* Isar/Provers: new 'hypsubst' method, plain 'subst' method and
'symmetric' attribute (the latter supercedes [RS sym]);

* Isar/Provers: splitter support (via 'split' attribute and 'simp'
method modifier); 'simp' method: 'only:' modifier removes loopers as
well (including splits);

* Isar/Provers: Simplifier and Classical methods now support all kind
of modifiers used in the past, including 'cong', 'iff', etc.

* Isar/Provers: added 'fastsimp' and 'clarsimp' methods (combination
of Simplifier and Classical reasoner);

* Isar/HOL: new proof method 'cases' and improved version of 'induct'
now support named cases; major packages (inductive, datatype, primrec,
recdef) support case names and properly name parameters;

* Isar/HOL: new transitivity rules for substitution in inequalities --
monotonicity conditions are extracted to be proven at end of

* Isar/HOL: removed 'case_split' thm binding, should use 'cases' proof
method anyway;

* Isar/HOL: removed old expand_if = split_if; theorems if_splits =
split_if split_if_asm; datatype package provides theorems foo.splits =
foo.split foo.split_asm for each datatype;

* Isar/HOL: tuned inductive package, rename "intrs" to "intros"
(potential INCOMPATIBILITY), emulation of mk_cases feature for proof
scripts: new 'inductive_cases' command and 'ind_cases' method; (Note:
use "(cases (simplified))" method in proper proof texts);

* Isar/HOL: added global 'arith_split' attribute for 'arith' method;

* Isar: names of theorems etc. may be natural numbers as well;

* Isar: 'pr' command: optional arguments for goals_limit and
ProofContext.prems_limit; no longer prints theory contexts, but only
proof states;

* Isar: diagnostic commands 'pr', 'thm', 'prop', 'term', 'typ' admit
additional print modes to be specified; e.g. "pr(latex)" will print
proof state according to the Isabelle LaTeX style;

* Isar: improved support for emulating tactic scripts, including proof
methods 'rule_tac' etc., 'cut_tac', 'thin_tac', 'subgoal_tac',
'rename_tac', 'rotate_tac', 'tactic', and 'case_tac' / 'induct_tac'
(for HOL datatypes);

* Isar: simplified (more robust) goal selection of proof methods: 1st
goal, all goals, or explicit goal specifier (tactic emulation); thus
'proof method scripts' have to be in depth-first order;

* Isar: tuned 'let' syntax: replaced 'as' keyword by 'and';

* Isar: removed 'help' command, which hasn't been too helpful anyway;
should instead use individual commands for printing items
(print_commands, print_methods etc.);

* Isar: added 'nothing' --- the empty list of theorems;

*** HOL ***

* HOL/MicroJava: formalization of a fragment of Java, together with a
corresponding virtual machine and a specification of its bytecode
verifier and a lightweight bytecode verifier, including proofs of
type-safety; by Gerwin Klein, Tobias Nipkow, David von Oheimb, and
Cornelia Pusch (see also the homepage of project Bali at;

* HOL/Algebra: new theory of rings and univariate polynomials, by
Clemens Ballarin;

* HOL/NumberTheory: fundamental Theorem of Arithmetic, Chinese
Remainder Theorem, Fermat/Euler Theorem, Wilson's Theorem, by Thomas M

* HOL/Lattice: fundamental concepts of lattice theory and order
structures, including duals, properties of bounds versus algebraic
laws, lattice operations versus set-theoretic ones, the Knaster-Tarski
Theorem for complete lattices etc.; may also serve as a demonstration
for abstract algebraic reasoning using axiomatic type classes, and
mathematics-style proof in Isabelle/Isar; by Markus Wenzel;

* HOL/Prolog: a (bare-bones) implementation of Lambda-Prolog, by David
von Oheimb;

* HOL/IMPP: extension of IMP with local variables and mutually
recursive procedures, by David von Oheimb;

* HOL/Lambda: converted into new-style theory and document;

* HOL/ex/Multiquote: example of multiple nested quotations and
anti-quotations -- basically a generalized version of de-Bruijn
representation; very useful in avoiding lifting of operations;

* HOL/record: added general record equality rule to simpset; fixed
select-update simplification procedure to handle extended records as
well; admit "r" as field name;

* HOL: 0 is now overloaded over the new sort "zero", allowing its use with
other numeric types and also as the identity of groups, rings, etc.;

* HOL: new axclass plus_ac0 for addition with the AC-laws and 0 as identity.
Types nat and int belong to this axclass;

* HOL: greatly improved simplification involving numerals of type nat, int, real:
   (i + #8 + j) = Suc k simplifies to  #7 + (i + j) = k
   i*j + k + j*#3*i     simplifies to  #4*(i*j) + k
  two terms #m*u and #n*u are replaced by #(m+n)*u
    (where #m, #n and u can implicitly be 1; this is simproc combine_numerals)
  and the term/formula #m*u+x ~~ #n*u+y simplifies simplifies to #(m-n)+x ~~ y
    or x ~~ #(n-m)+y, where ~~ is one of = < <= or - (simproc cancel_numerals);

* HOL: meson_tac is available (previously in ex/meson.ML); it is a
powerful prover for predicate logic but knows nothing of clasets; see
ex/mesontest.ML and ex/mesontest2.ML for example applications;

* HOL: new version of "case_tac" subsumes both boolean case split and
"exhaust_tac" on datatypes; INCOMPATIBILITY: exhaust_tac no longer
exists, may define val exhaust_tac = case_tac for ad-hoc portability;

* HOL: simplification no longer dives into case-expressions: only the
selector expression is simplified, but not the remaining arms; to
enable full simplification of case-expressions for datatype t, you may
remove t.weak_case_cong from the simpset, either globally (Delcongs
[thm"t.weak_case_cong"];) or locally (delcongs [...]).

* HOL/recdef: the recursion equations generated by 'recdef' for
function 'f' are now called f.simps instead of f.rules; if all
termination conditions are proved automatically, these simplification
rules are added to the simpset, as in primrec; rules may be named
individually as well, resulting in a separate list of theorems for
each equation;

* HOL/While is a new theory that provides a while-combinator. It
permits the definition of tail-recursive functions without the
provision of a termination measure. The latter is necessary once the
invariant proof rule for while is applied.

* HOL: new (overloaded) notation for the set of elements below/above
some element: {..u}, {..u(}, {l..}, {)l..}. See theory SetInterval.

* HOL: theorems impI, allI, ballI bound as "strip";

* HOL: new tactic induct_thm_tac: thm -> string -> int -> tactic
induct_tac th "x1 ... xn" expects th to have a conclusion of the form
P v1 ... vn and abbreviates res_inst_tac [("v1","x1"),...,("vn","xn")] th;

* HOL/Real: "rabs" replaced by overloaded "abs" function;

* HOL: theory Sexp now in HOL/Induct examples (it used to be part of
main HOL, but was unused);

* HOL: fewer consts declared as global (e.g. have to refer to
"Lfp.lfp" instead of "lfp" internally; affects ML packages only);

* HOL: tuned AST representation of nested pairs, avoiding bogus output
in case of overlap with user translations (e.g. judgements over
tuples); (note that the underlying logical represenation is still

*** ZF ***

* ZF: simplification automatically cancels common terms in arithmetic
expressions over nat and int;

* ZF: new treatment of nat to minimize type-checking: all operators
coerce their operands to a natural number using the function natify,
making the algebraic laws unconditional;

* ZF: as above, for int: operators coerce their operands to an integer
using the function intify;

* ZF: the integer library now contains many of the usual laws for the
orderings, including $<=, and monotonicity laws for $+ and $*;

* ZF: new example ZF/ex/NatSum to demonstrate integer arithmetic

* FOL and ZF: AddIffs now available, giving theorems of the form P<->Q
to the simplifier and classical reasoner simultaneously;

*** General ***

* Provers: blast_tac now handles actual object-logic rules as
assumptions; note that auto_tac uses blast_tac internally as well;

* Provers: new functions rulify/rulify_no_asm: thm -> thm for turning
outer -->/All/Ball into ==>/!!; qed_spec_mp now uses rulify_no_asm;

* Provers: delrules now handles destruct rules as well (no longer need
explicit make_elim);

* Provers: Blast_tac now warns of and ignores "weak elimination rules" e.g.
  [| inj ?f;          ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
use instead the strong form,
  [| inj ?f; ~ ?W ==> ?f ?x = ?f ?y; ?x = ?y ==> ?W |] ==> ?W
in HOL, FOL and ZF the function cla_make_elim will create such rules
from destruct-rules;

* Provers: Simplifier.easy_setup provides a fast path to basic
Simplifier setup for new object-logics;

* Pure: AST translation rules no longer require constant head on LHS;

* Pure: improved name spaces: ambiguous output is qualified; support
for hiding of names;

* system: smart setup of canonical ML_HOME, ISABELLE_INTERFACE, and
XSYMBOL_HOME; no longer need to do manual configuration in most

* system: compression of ML heaps images may now be controlled via -c
option of isabelle and isatool usedir (currently only observed by

* system: isatool installfonts may handle X-Symbol fonts as well (very
useful for remote X11);

* system: provide TAGS file for Isabelle sources;

* ML: infix 'OF' is a version of 'MRS' with more appropriate argument

* ML: renamed flags Syntax.trace_norm_ast to Syntax.trace_ast; global
timing flag supersedes proof_timing and Toplevel.trace;

* ML: new combinators |>> and |>>> for incremental transformations
with secondary results (e.g. certain theory extensions):

* ML: PureThy.add_defs gets additional argument to indicate potential
overloading (usually false);

* ML: PureThy.add_thms/add_axioms/add_defs now return theorems as

New in Isabelle99 (October 1999)

*** Overview of INCOMPATIBILITIES (see below for more details) ***

* HOL: The THEN and ELSE parts of conditional expressions (if P then x else y)
are no longer simplified.  (This allows the simplifier to unfold recursive
functional programs.)  To restore the old behaviour, declare

    Delcongs [if_weak_cong];

* HOL: Removed the obsolete syntax "Compl A"; use -A for set

* HOL: the predicate "inj" is now defined by translation to "inj_on";

* HOL/datatype: mutual_induct_tac no longer exists --
  use induct_tac "x_1 ... x_n" instead of mutual_induct_tac ["x_1", ..., "x_n"]

* HOL/typedef: fixed type inference for representing set; type
arguments now have to occur explicitly on the rhs as type constraints;

* ZF: The con_defs part of an inductive definition may no longer refer
to constants declared in the same theory;

* HOL, ZF: the function mk_cases, generated by the inductive
definition package, has lost an argument.  To simplify its result, it
uses the default simpset instead of a supplied list of theorems.

* HOL/List: the constructors of type list are now Nil and Cons;

* Simplifier: the type of the infix ML functions
        setSSolver addSSolver setSolver addSolver
is now  simpset * solver -> simpset  where `solver' is a new abstract type
for packaging solvers. A solver is created via
        mk_solver: string -> (thm list -> int -> tactic) -> solver
where the string argument is only a comment.

*** Proof tools ***

* Provers/Arith/fast_lin_arith.ML contains a functor for creating a
decision procedure for linear arithmetic. Currently it is used for
types `nat', `int', and `real' in HOL (see below); it can, should and
will be instantiated for other types and logics as well.

* The simplifier now accepts rewrite rules with flexible heads, eg
     hom ?f ==> ?f(?x+?y) = ?f ?x + ?f ?y
  They are applied like any rule with a non-pattern lhs, i.e. by first-order

*** General ***

* New Isabelle/Isar subsystem provides an alternative to traditional
tactical theorem proving; together with the ProofGeneral/isar user
interface it offers an interactive environment for developing human
readable proof documents (Isar == Intelligible semi-automated
reasoning); for further information see isatool doc isar-ref,
src/HOL/Isar_examples and

* improved and simplified presentation of theories: better HTML markup
(including colors), graph views in several sizes; isatool usedir now
provides a proper interface for user theories (via -P option); actual
document preparation based on (PDF)LaTeX is available as well (for
new-style theories only); see isatool doc system for more information;

* native support for Proof General, both for classic Isabelle and

* ML function thm_deps visualizes dependencies of theorems and lemmas,
using the graph browser tool;

* Isabelle manuals now also available as PDF;

* theory loader rewritten from scratch (may not be fully
bug-compatible); old loadpath variable has been replaced by show_path,
add_path, del_path, reset_path functions; new operations such as
update_thy, touch_thy, remove_thy, use/update_thy_only (see also
isatool doc ref);

* improved isatool install: option -k creates KDE application icon,
option -p DIR installs standalone binaries;

* added ML_PLATFORM setting (useful for cross-platform installations);
more robust handling of platform specific ML images for SML/NJ;

* the settings environment is now statically scoped, i.e. it is never
created again in sub-processes invoked from isabelle, isatool, or

* path element specification '~~' refers to '$ISABELLE_HOME';

* in locales, the "assumes" and "defines" parts may be omitted if

* new print_mode "xsymbols" for extended symbol support (e.g. genuine
long arrows);

* new print_mode "HTML";

* new flag show_tags controls display of tags of theorems (which are
basically just comments that may be attached by some tools);

* Isamode 2.6 requires patch to accomodate change of Isabelle font
mode and goal output format:

diff -r Isamode-2.6/elisp/isa-load.el Isamode/elisp/isa-load.el
<       (list (isa-getenv "ISABELLE") "-msymbols" logic-name)
>       (list (isa-getenv "ISABELLE") "-misabelle_font" "-msymbols" logic-name)
diff -r Isabelle-2.6/elisp/isa-proofstate.el Isamode/elisp/isa-proofstate.el
< (defconst proofstate-proofstart-regexp "^Level [0-9]+$"
> (defconst proofstate-proofstart-regexp "^Level [0-9]+"

* function bind_thms stores lists of theorems (cf. bind_thm);

* new shorthand tactics ftac, eatac, datac, fatac;

* qed (and friends) now accept "" as result name; in that case the
theorem is not stored, but proper checks and presentation of the
result still apply;

* theorem database now also indexes constants "Trueprop", "all",
"==>", "=="; thus thms_containing, findI etc. may retrieve more rules;

*** HOL ***

** HOL arithmetic **

* There are now decision procedures for linear arithmetic over nat and

1. arith_tac copes with arbitrary formulae involving `=', `<', `<=',
`+', `-', `Suc', `min', `max' and numerical constants; other subterms
are treated as atomic; subformulae not involving type `nat' or `int'
are ignored; quantified subformulae are ignored unless they are
positive universal or negative existential. The tactic has to be
invoked by hand and can be a little bit slow. In particular, the
running time is exponential in the number of occurrences of `min' and
`max', and `-' on `nat'.

2. fast_arith_tac is a cut-down version of arith_tac: it only takes
(negated) (in)equalities among the premises and the conclusion into
account (i.e. no compound formulae) and does not know about `min' and
`max', and `-' on `nat'. It is fast and is used automatically by the

NB: At the moment, these decision procedures do not cope with mixed
nat/int formulae where the two parts interact, such as `m < n ==>
int(m) < int(n)'.

* HOL/Numeral provides a generic theory of numerals (encoded
efficiently as bit strings); setup for types nat/int/real is in place;
INCOMPATIBILITY: since numeral syntax is now polymorphic, rather than
int, existing theories and proof scripts may require a few additional
type constraints;

* integer division and remainder can now be performed on constant

* many properties of integer multiplication, division and remainder
are now available;

* An interface to the Stanford Validity Checker (SVC) is available through the
tactic svc_tac.  Propositional tautologies and theorems of linear arithmetic
are proved automatically.  SVC must be installed separately, and its results
must be TAKEN ON TRUST (Isabelle does not check the proofs, but tags any
invocation of the underlying oracle).  For SVC see

* IsaMakefile: the HOL-Real target now builds an actual image;

** HOL misc **

* HOL/Real/HahnBanach: the Hahn-Banach theorem for real vector spaces
(in Isabelle/Isar) -- by Gertrud Bauer;

* HOL/BCV: generic model of bytecode verification, i.e. data-flow
analysis for assembly languages with subtypes;

* HOL/TLA (Lamport's Temporal Logic of Actions): major reorganization
-- avoids syntactic ambiguities and treats state, transition, and
temporal levels more uniformly; introduces INCOMPATIBILITIES due to
changed syntax and (many) tactics;

* HOL/inductive: Now also handles more general introduction rules such
  as "ALL y. (y, x) : r --> y : acc r ==> x : acc r"; monotonicity
  theorems are now maintained within the theory (maintained via the
  "mono" attribute);

* HOL/datatype: Now also handles arbitrarily branching datatypes
  (using function types) such as

  datatype 'a tree = Atom 'a | Branch "nat => 'a tree"

* HOL/record: record_simproc (part of the default simpset) takes care
of selectors applied to updated records; record_split_tac is no longer
part of the default claset; update_defs may now be removed from the
simpset in many cases; COMPATIBILITY: old behavior achieved by

  claset_ref () := claset() addSWrapper record_split_wrapper;
  Delsimprocs [record_simproc]

* HOL/typedef: fixed type inference for representing set; type
arguments now have to occur explicitly on the rhs as type constraints;

* HOL/recdef (TFL): 'congs' syntax now expects comma separated list of theorem
names rather than an ML expression;

* HOL/defer_recdef (TFL): like recdef but the well-founded relation can be
supplied later.  Program schemes can be defined, such as
    "While B C s = (if B s then While B C (C s) else s)"
where the well-founded relation can be chosen after B and C have been given.

* HOL/List: the constructors of type list are now Nil and Cons;
INCOMPATIBILITY: while [] and infix # syntax is still there, of
course, ML tools referring to List.list.op # etc. have to be adapted;

* HOL_quantifiers flag superseded by "HOL" print mode, which is
disabled by default; run isabelle with option -m HOL to get back to
the original Gordon/HOL-style output;

* HOL/Ord.thy: new bounded quantifier syntax (input only): ALL x<y. P,
ALL x<=y. P, EX x<y. P, EX x<=y. P;

* HOL basic syntax simplified (more orthogonal): all variants of
All/Ex now support plain / symbolic / HOL notation; plain syntax for
Eps operator is provided as well: "SOME x. P[x]";

* HOL/Sum.thy: sum_case has been moved to HOL/Datatype;

* HOL/Univ.thy: infix syntax <*>, <+>, <**>, <+> eliminated and made
thus available for user theories;

* HOLCF/IOA/Sequents: renamed 'Cons' to 'Consq' to avoid clash with
HOL/List; hardly an INCOMPATIBILITY since '>>' syntax is used all the

* HOL: new tactic smp_tac: int -> int -> tactic, which applies spec
several times and then mp;

*** LK ***

* the notation <<...>> is now available as a notation for sequences of

* the simplifier is now installed

* the axiom system has been generalized (thanks to Soren Heilmann)

* the classical reasoner now has a default rule database

*** ZF ***

* new primrec section allows primitive recursive functions to be given
directly (as in HOL) over datatypes and the natural numbers;

* new tactics induct_tac and exhaust_tac for induction (or case
analysis) over datatypes and the natural numbers;

* the datatype declaration of type T now defines the recursor T_rec;

* simplification automatically does freeness reasoning for datatype

* automatic type-inference, with AddTCs command to insert new
type-checking rules;

* datatype introduction rules are now added as Safe Introduction rules
to the claset;

* the syntax "if P then x else y" is now available in addition to

*** Internal programming interfaces ***

* tuned simplifier trace output; new flag debug_simp;

* structures Vartab / Termtab (instances of TableFun) offer efficient
tables indexed by indexname_ord / term_ord (compatible with aconv);

* AxClass.axclass_tac lost the theory argument;

* tuned current_goals_markers semantics: begin / end goal avoids
printing empty lines;

* removed prs and prs_fn hook, which was broken because it did not
include \n in its semantics, forcing writeln to add one
uncoditionally; replaced prs_fn by writeln_fn; consider std_output:
string -> unit if you really want to output text without newline;

* Symbol.output subject to print mode; INCOMPATIBILITY: defaults to
plain output, interface builders may have to enable 'isabelle_font'
mode to get Isabelle font glyphs as before;

* refined token_translation interface; INCOMPATIBILITY: output length
now of type real instead of int;

* theory loader actions may be traced via new ThyInfo.add_hook
interface (see src/Pure/Thy/thy_info.ML); example application: keep
your own database of information attached to *whole* theories -- as
opposed to intra-theory data slots offered via TheoryDataFun;

* proper handling of dangling sort hypotheses (at last!);
Thm.strip_shyps and Drule.strip_shyps_warning take care of removing
extra sort hypotheses that can be witnessed from the type signature;
the force_strip_shyps flag is gone, any remaining shyps are simply
left in the theorem (with a warning issued by strip_shyps_warning);

New in Isabelle98-1 (October 1998)

*** Overview of INCOMPATIBILITIES (see below for more details) ***

* several changes of automated proof tools;

* HOL: major changes to the inductive and datatype packages, including
some minor incompatibilities of theory syntax;

* HOL: renamed r^-1 to 'converse' from 'inverse'; 'inj_onto' is now
called `inj_on';

* HOL: removed duplicate thms in Arith:
  less_imp_add_less  should be replaced by  trans_less_add1
  le_imp_add_le      should be replaced by  trans_le_add1

* HOL: unary minus is now overloaded (new type constraints may be

* HOL and ZF: unary minus for integers is now #- instead of #~.  In
ZF, expressions such as n#-1 must be changed to n#- 1, since #-1 is
now taken as an integer constant.

* Pure: ML function 'theory_of' renamed to 'theory';

*** Proof tools ***

* Simplifier:
  1. Asm_full_simp_tac is now more aggressive.
     1. It will sometimes reorient premises if that increases their power to
     2. It does no longer proceed strictly from left to right but may also
        rotate premises to achieve further simplification.
     For compatibility reasons there is now Asm_lr_simp_tac which is like the
     old Asm_full_simp_tac in that it does not rotate premises.
  2. The simplifier now knows a little bit about nat-arithmetic.

* Classical reasoner: wrapper mechanism for the classical reasoner now
allows for selected deletion of wrappers, by introduction of names for
wrapper functionals.  This implies that addbefore, addSbefore,
addaltern, and addSaltern now take a pair (name, tactic) as argument,
and that adding two tactics with the same name overwrites the first
one (emitting a warning).
  type wrapper = (int -> tactic) -> (int -> tactic)
  setWrapper, setSWrapper, compWrapper and compSWrapper are replaced by
  addWrapper, addSWrapper: claset * (string * wrapper) -> claset
  delWrapper, delSWrapper: claset *  string            -> claset
  getWrapper is renamed to appWrappers, getSWrapper to appSWrappers;

* Classical reasoner: addbefore/addSbefore now have APPEND/ORELSE
semantics; addbefore now affects only the unsafe part of step_tac
etc.; this affects addss/auto_tac/force_tac, so EXISTING PROOFS MAY
FAIL, but proofs should be fixable easily, e.g. by replacing Auto_tac
by Force_tac;

* Classical reasoner: setwrapper to setWrapper and compwrapper to
compWrapper; added safe wrapper (and access functions for it);

* HOL/split_all_tac is now much faster and fails if there is nothing
to split.  Some EXISTING PROOFS MAY REQUIRE ADAPTION because the order
and the names of the automatically generated variables have changed.
split_all_tac has moved within claset() from unsafe wrappers to safe
wrappers, which means that !!-bound variables are split much more
aggressively, and safe_tac and clarify_tac now split such variables.
If this splitting is not appropriate, use delSWrapper "split_all_tac".
Note: the same holds for record_split_tac, which does the job of
split_all_tac for record fields.

* HOL/Simplifier: Rewrite rules for case distinctions can now be added
permanently to the default simpset using Addsplits just like
Addsimps. They can be removed via Delsplits just like
Delsimps. Lower-case versions are also available.

* HOL/Simplifier: The rule split_if is now part of the default
simpset. This means that the simplifier will eliminate all occurrences
of if-then-else in the conclusion of a goal. To prevent this, you can
either remove split_if completely from the default simpset by
`Delsplits [split_if]' or remove it in a specific call of the
simplifier using `... delsplits [split_if]'.  You can also add/delete
other case splitting rules to/from the default simpset: every datatype
generates suitable rules `split_t_case' and `split_t_case_asm' (where
t is the name of the datatype).

* Classical reasoner / Simplifier combination: new force_tac (and
derivatives Force_tac, force) combines rewriting and classical
reasoning (and whatever other tools) similarly to auto_tac, but is
aimed to solve the given subgoal completely.

*** General ***

* new top-level commands `Goal' and `Goalw' that improve upon `goal'
and `goalw': the theory is no longer needed as an explicit argument -
the current theory context is used; assumptions are no longer returned
at the ML-level unless one of them starts with ==> or !!; it is
recommended to convert to these new commands using isatool fixgoal
(backup your sources first!);

* new top-level commands 'thm' and 'thms' for retrieving theorems from
the current theory context, and 'theory' to lookup stored theories;

* new theory section 'locale' for declaring constants, assumptions and
definitions that have local scope;

* new theory section 'nonterminals' for purely syntactic types;

* new theory section 'setup' for generic ML setup functions
(e.g. package initialization);

* the distribution now includes Isabelle icons: see

* isatool install - install binaries with absolute references to

* isatool logo -- create instances of the Isabelle logo (as EPS);

* print mode 'emacs' reserved for Isamode;

* support multiple print (ast) translations per constant name;

* theorems involving oracles are now printed with a suffixed [!];

*** HOL ***

* there is now a tutorial on Isabelle/HOL (do 'isatool doc tutorial');

* HOL/inductive package reorganized and improved: now supports mutual
definitions such as

  inductive EVEN ODD
      null "0 : EVEN"
      oddI "n : EVEN ==> Suc n : ODD"
      evenI "n : ODD ==> Suc n : EVEN"

new theorem list "elims" contains an elimination rule for each of the
recursive sets; inductive definitions now handle disjunctive premises
correctly (also ZF);

INCOMPATIBILITIES: requires Inductive as an ancestor; component
"mutual_induct" no longer exists - the induction rule is always
contained in "induct";

* HOL/datatype package re-implemented and greatly improved: now
supports mutually recursive datatypes such as

    'a aexp = IF_THEN_ELSE ('a bexp) ('a aexp) ('a aexp)
            | SUM ('a aexp) ('a aexp)
            | DIFF ('a aexp) ('a aexp)
            | NUM 'a
    'a bexp = LESS ('a aexp) ('a aexp)
            | AND ('a bexp) ('a bexp)
            | OR ('a bexp) ('a bexp)

as well as indirectly recursive datatypes such as

    ('a, 'b) term = Var 'a
                  | App 'b ((('a, 'b) term) list)

The new tactic  mutual_induct_tac [<var_1>, ..., <var_n>] i  performs
induction on mutually / indirectly recursive datatypes.

Primrec equations are now stored in theory and can be accessed via


  - Theories using datatypes must now have theory Datatype as an
  - The specific <typename>.induct_tac no longer exists - use the
    generic induct_tac instead.
  - natE has been renamed to nat.exhaust - use exhaust_tac
    instead of res_inst_tac ... natE. Note that the variable
    names in nat.exhaust differ from the names in natE, this
    may cause some "fragile" proofs to fail.
  - The theorems split_<typename>_case and split_<typename>_case_asm
    have been renamed to <typename>.split and <typename>.split_asm.
  - Since default sorts of type variables are now handled correctly,
    some datatype definitions may have to be annotated with explicit
    sort constraints.
  - Primrec definitions no longer require function name and type
    of recursive argument.

Consider using isatool fixdatatype to adapt your theories and proof
scripts to the new package (backup your sources first!).

* HOL/record package: considerably improved implementation; now
includes concrete syntax for record types, terms, updates; theorems
for surjective pairing and splitting !!-bound record variables; proof
support is as follows:

  1) standard conversions (selectors or updates applied to record
constructor terms) are part of the standard simpset;

  2) inject equations of the form ((x, y) = (x', y')) == x=x' & y=y' are
made part of standard simpset and claset via addIffs;

  3) a tactic for record field splitting (record_split_tac) is part of
the standard claset (addSWrapper);

To get a better idea about these rules you may retrieve them via
something like 'thms "foo.simps"' or 'thms "foo.iffs"', where "foo" is
the name of your record type.

The split tactic 3) conceptually simplifies by the following rule:

  "(!!x. PROP ?P x) == (!!a b. PROP ?P (a, b))"

Thus any record variable that is bound by meta-all will automatically
blow up into some record constructor term, consequently the
simplifications of 1), 2) apply.  Thus force_tac, auto_tac etc. shall
solve record problems automatically.

* reorganized the main HOL image: HOL/Integ and String loaded by
default; theory Main includes everything;

* automatic simplification of integer sums and comparisons, using cancellation;

* added option_map_eq_Some and not_Some_eq to the default simpset and claset;

* added disj_not1 = "(~P | Q) = (P --> Q)" to the default simpset;

* many new identities for unions, intersections, set difference, etc.;

* expand_if, expand_split, expand_sum_case and expand_nat_case are now
called split_if, split_split, split_sum_case and split_nat_case (to go
with add/delsplits);

* HOL/Prod introduces simplification procedure unit_eq_proc rewriting
(?x::unit) = (); this is made part of the default simpset, which COULD
MAKE EXISTING PROOFS FAIL under rare circumstances (consider
'Delsimprocs [unit_eq_proc];' as last resort); also note that
unit_abs_eta_conv is added in order to counter the effect of
unit_eq_proc on (%u::unit. f u), replacing it by f rather than by

* HOL/Fun INCOMPATIBILITY: `inj_onto' is now called `inj_on' (which
makes more sense);

* HOL/Set INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
  It and 'sym RS equals0D' are now in the default  claset, giving automatic
  disjointness reasoning but breaking a few old proofs.

* HOL/Relation INCOMPATIBILITY: renamed the relational operator r^-1
to 'converse' from 'inverse' (for compatibility with ZF and some

* HOL/recdef can now declare non-recursive functions, with {} supplied as
the well-founded relation;

* HOL/Set INCOMPATIBILITY: the complement of set A is now written -A instead of
    Compl A.  The "Compl" syntax remains available as input syntax for this
    release ONLY.

* HOL/Update: new theory of function updates:
    f(a:=b) == %x. if x=a then b else f x
may also be iterated as in f(a:=b,c:=d,...);

* HOL/Vimage: new theory for inverse image of a function, syntax f-``B;

* HOL/List:
  - new function list_update written xs[i:=v] that updates the i-th
    list position. May also be iterated as in xs[i:=a,j:=b,...].
  - new function `upt' written [i..j(] which generates the list
    [i,i+1,...,j-1], i.e. the upper bound is excluded. To include the upper
    bound write [i..j], which is a shorthand for [i..j+1(].
  - new lexicographic orderings and corresponding wellfoundedness theorems.

* HOL/Arith:
  - removed 'pred' (predecessor) function;
  - generalized some theorems about n-1;
  - many new laws about "div" and "mod";
  - new laws about greatest common divisors (see theory ex/Primes);

* HOL/Relation: renamed the relational operator r^-1 "converse"
instead of "inverse";

* HOL/Induct/Multiset: a theory of multisets, including the wellfoundedness
  of the multiset ordering;

* directory HOL/Real: a construction of the reals using Dedekind cuts
  (not included by default);

* directory HOL/UNITY: Chandy and Misra's UNITY formalism;

* directory HOL/Hoare: a new version of Hoare logic which permits many-sorted
  programs, i.e. different program variables may have different types.

* calling (stac rew i) now fails if "rew" has no effect on the goal
  [previously, this check worked only if the rewrite rule was unconditional]
  Now rew can involve either definitions or equalities (either == or =).

*** ZF ***

* theory Main includes everything; INCOMPATIBILITY: theory ZF.thy contains
  only the theorems proved on ZF.ML;

* ZF INCOMPATIBILITY: rule `equals0D' is now a well-formed destruct rule;
  It and 'sym RS equals0D' are now in the default  claset, giving automatic
  disjointness reasoning but breaking a few old proofs.

* ZF/Update: new theory of function updates
    with default rewrite rule  f(x:=y) ` z = if(z=x, y, f`z)
  may also be iterated as in f(a:=b,c:=d,...);

* in  let x=t in u(x), neither t nor u(x) has to be an FOL term.

* calling (stac rew i) now fails if "rew" has no effect on the goal
  [previously, this check worked only if the rewrite rule was unconditional]
  Now rew can involve either definitions or equalities (either == or =).

* case_tac provided for compatibility with HOL
    (like the old excluded_middle_tac, but with subgoals swapped)

*** Internal programming interfaces ***

* Pure: several new basic modules made available for general use, see
also src/Pure/README;

* improved the theory data mechanism to support encapsulation (data
kind name replaced by private Object.kind, acting as authorization
key); new type-safe user interface via functor TheoryDataFun; generic
print_data function becomes basically useless;

* removed global_names compatibility flag -- all theory declarations
are qualified by default;

* module Pure/Syntax now offers quote / antiquote translation
functions (useful for Hoare logic etc. with implicit dependencies);
see HOL/ex/Antiquote for an example use;

* Simplifier now offers conversions (asm_)(full_)rewrite: simpset ->
cterm -> thm;

* new tactical CHANGED_GOAL for checking that a tactic modifies a

* Display.print_goals function moved to Locale.print_goals;

* standard print function for goals supports current_goals_markers
variable for marking begin of proof, end of proof, start of goal; the
default is ("", "", ""); setting current_goals_markers := ("<proof>",
"</proof>", "<goal>") causes SGML like tagged proof state printing,
for example;

New in Isabelle98 (January 1998)

*** Overview of INCOMPATIBILITIES (see below for more details) ***

* changed lexical syntax of terms / types: dots made part of long
identifiers, e.g. "%x.x" no longer possible, should be "%x. x";

* simpset (and claset) reference variable replaced by functions
simpset / simpset_ref;

* no longer supports theory aliases (via merge) and non-trivial
implicit merge of thms' signatures;

* most internal names of constants changed due to qualified names;

* changed Pure/Sequence interface (see Pure/seq.ML);

*** General Changes ***

* hierachically structured name spaces (for consts, types, axms, thms
etc.); new lexical class 'longid' (e.g. may render much of
old input syntactically incorrect (e.g. "%x.x"); COMPATIBILITY:
isatool fixdots ensures space after dots (e.g. "%x. x"); set
long_names for fully qualified output names; NOTE: ML programs
(special tactics, packages etc.) referring to internal names may have
to be adapted to cope with fully qualified names; in case of severe
backward campatibility problems try setting 'global_names' at compile
time to have enrything declared within a flat name space; one may also
fine tune name declarations in theories via the 'global' and 'local'

* reimplemented the implicit simpset and claset using the new anytype
data filed in signatures; references simpset:simpset ref etc. are
replaced by functions simpset:unit->simpset and
simpset_ref:unit->simpset ref; COMPATIBILITY: use isatool fixclasimp
to patch your ML files accordingly;

* HTML output now includes theory graph data for display with Java
applet or isatool browser; data generated automatically via isatool
usedir (see -i option, ISABELLE_USEDIR_OPTIONS);

* defs may now be conditional; improved rewrite_goals_tac to handle
conditional equations;

* defs now admits additional type arguments, using TYPE('a) syntax;

* theory aliases via merge (e.g. M=A+B+C) no longer supported, always
creates a new theory node; implicit merge of thms' signatures is
restricted to 'trivial' ones; COMPATIBILITY: one may have to use
transfer:theory->thm->thm in (rare) cases;

* improved handling of draft signatures / theories; draft thms (and
ctyps, cterms) are automatically promoted to real ones;

* slightly changed interfaces for oracles: admit many per theory, named
(e.g. oracle foo = mlfun), additional name argument for invoke_oracle;

* print_goals: optional output of const types (set show_consts and

* improved output of warnings (###) and errors (***);

* subgoal_tac displays a warning if the new subgoal has type variables;

* removed old README and Makefiles;

* replaced print_goals_ref hook by print_current_goals_fn and result_error_fn;

* removed obsolete init_pps and init_database;

* deleted the obsolete tactical STATE, which was declared by
    fun STATE tacfun st = tacfun st st;

* cd and use now support path variables, e.g. $ISABELLE_HOME, or ~
(which abbreviates $HOME);

* changed Pure/Sequence interface (see Pure/seq.ML); COMPATIBILITY:
use isatool fixseq to adapt your ML programs (this works for fully
qualified references to the Sequence structure only!);

* use_thy no longer requires writable current directory; it always
reloads .ML *and* .thy file, if either one is out of date;

*** Classical Reasoner ***

* Clarify_tac, clarify_tac, clarify_step_tac, Clarify_step_tac: new
tactics that use classical reasoning to simplify a subgoal without
splitting it into several subgoals;

* Safe_tac: like safe_tac but uses the default claset;

*** Simplifier ***

* added simplification meta rules:
    (asm_)(full_)simplify: simpset -> thm -> thm;

* simplifier.ML no longer part of Pure -- has to be loaded by object
logics (again);

* added prems argument to simplification procedures;

* HOL, FOL, ZF: added infix function `addsplits':
  instead of `<simpset> setloop (split_tac <thms>)'
  you can simply write `<simpset> addsplits <thms>'

*** Syntax ***

* TYPE('a) syntax for type reflection terms;

* no longer handles consts with name "" -- declare as 'syntax' instead;

* pretty printer: changed order of mixfix annotation preference (again!);

* Pure: fixed idt/idts vs. pttrn/pttrns syntactic categories;

*** HOL ***

* HOL: there is a new splitter `split_asm_tac' that can be used e.g.
  with `addloop' of the simplifier to faciliate case splitting in premises.

* HOL/TLA: Stephan Merz's formalization of Lamport's Temporal Logic of Actions;

* HOL/Auth: new protocol proofs including some for the Internet
  protocol TLS;

* HOL/Map: new theory of `maps' a la VDM;

* HOL/simplifier: simplification procedures nat_cancel_sums for
cancelling out common nat summands from =, <, <= (in)equalities, or
differences; simplification procedures nat_cancel_factor for
cancelling common factor from =, <, <= (in)equalities over natural
sums; nat_cancel contains both kinds of procedures, it is installed by
default in Arith.thy -- this COULD MAKE EXISTING PROOFS FAIL;

* HOL/simplifier: terms of the form
  `? x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x)'  (or t=x)
  are rewritten to
  `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t)',
  and those of the form
  `! x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x) --> R(x)'  (or t=x)
  are rewritten to
  `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t) --> R(t)',

* HOL/datatype
  Each datatype `t' now comes with a theorem `split_t_case' of the form

  P(t_case f1 ... fn x) =
     ( (!y1 ... ym1. x = C1 y1 ... ym1 --> P(f1 y1 ... ym1)) &
       (!y1 ... ymn. x = Cn y1 ... ymn --> P(f1 y1 ... ymn))

  and a theorem `split_t_case_asm' of the form

  P(t_case f1 ... fn x) =
    ~( (? y1 ... ym1. x = C1 y1 ... ym1 & ~P(f1 y1 ... ym1)) |
       (? y1 ... ymn. x = Cn y1 ... ymn & ~P(f1 y1 ... ymn))
  which can be added to a simpset via `addsplits'. The existing theorems
  expand_list_case and expand_option_case have been renamed to
  split_list_case and split_option_case.

* HOL/Arithmetic:
  - `pred n' is automatically converted to `n-1'.
    Users are strongly encouraged not to use `pred' any longer,
    because it will disappear altogether at some point.
  - Users are strongly encouraged to write "0 < n" rather than
    "n ~= 0". Theorems and proof tools have been modified towards this

* HOL/Lists:
  the function "set_of_list" has been renamed "set" (and its theorems too);
  the function "nth" now takes its arguments in the reverse order and
  has acquired the infix notation "!" as in "xs!n".

* HOL/Set: UNIV is now a constant and is no longer translated to Compl{};

* HOL/Set: The operator (UN x.B x) now abbreviates (UN x:UNIV. B x) and its
  specialist theorems (like UN1_I) are gone.  Similarly for (INT x.B x);

* HOL/record: extensible records with schematic structural subtyping
(single inheritance); EXPERIMENTAL version demonstrating the encoding,
still lacks various theorems and concrete record syntax;

*** HOLCF ***

* removed "axioms" and "generated by" sections;

* replaced "ops" section by extended "consts" section, which is capable of
  handling the continuous function space "->" directly;

* domain package:
  . proves theorems immediately and stores them in the theory,
  . creates hierachical name space,
  . now uses normal mixfix annotations (instead of cinfix...),
  . minor changes to some names and values (for consistency),
  . e.g. cases -> casedist, dists_eq -> dist_eqs, [take_lemma] -> take_lemmas,
  . separator between mutual domain defs: changed "," to "and",
  . improved handling of sort constraints;  now they have to
    appear on the left-hand side of the equations only;

* fixed LAM <x,y,zs>.b syntax;

* added extended adm_tac to simplifier in HOLCF -- can now discharge
adm (%x. P (t x)), where P is chainfinite and t continuous;

*** FOL and ZF ***

* FOL: there is a new splitter `split_asm_tac' that can be used e.g.
  with `addloop' of the simplifier to faciliate case splitting in premises.

* qed_spec_mp, qed_goal_spec_mp, qed_goalw_spec_mp are available, as
in HOL, they strip ALL and --> from proved theorems;

New in Isabelle94-8 (May 1997)

*** General Changes ***

* new utilities to build / run / maintain Isabelle etc. (in parts
still somewhat experimental); old Makefiles etc. still functional;

* new 'Isabelle System Manual';

* INSTALL text, together with ./configure and ./build scripts;

* reimplemented type inference for greater efficiency, better error
messages and clean internal interface;

* prlim command for dealing with lots of subgoals (an easier way of
setting goals_limit);

*** Syntax ***

* supports alternative (named) syntax tables (parser and pretty
printer); internal interface is provided by add_modesyntax(_i);

* Pure, FOL, ZF, HOL, HOLCF now support symbolic input and output; to
be used in conjunction with the Isabelle symbol font; uses the
"symbols" syntax table;

* added token_translation interface (may translate name tokens in
arbitrary ways, dependent on their type (free, bound, tfree, ...) and
the current print_mode); IMPORTANT: user print translation functions
are responsible for marking newly introduced bounds

* token translations for modes "xterm" and "xterm_color" that display
names in bold, underline etc. or colors (which requires a color
version of xterm);

* infixes may now be declared with names independent of their syntax;

* added typed_print_translation (like print_translation, but may
access type of constant);

*** Classical Reasoner ***

Blast_tac: a new tactic!  It is often more powerful than fast_tac, but has
some limitations.  Blast_tac...
  + ignores addss, addbefore, addafter; this restriction is intrinsic
  + ignores elimination rules that don't have the correct format
        (the conclusion MUST be a formula variable)
  + ignores types, which can make HOL proofs fail
  + rules must not require higher-order unification, e.g. apply_type in ZF
    [message "Function Var's argument not a bound variable" relates to this]
  + its proof strategy is more general but can actually be slower

* substitution with equality assumptions no longer permutes other

* minor changes in semantics of addafter (now called addaltern); renamed
setwrapper to setWrapper and compwrapper to compWrapper; added safe wrapper
(and access functions for it);

* improved combination of classical reasoner and simplifier:
  + functions for handling clasimpsets
  + improvement of addss: now the simplifier is called _after_ the
    safe steps.
  + safe variant of addss called addSss: uses safe simplifications
    _during_ the safe steps. It is more complete as it allows multiple
    instantiations of unknowns (e.g. with slow_tac).

*** Simplifier ***

* added interface for simplification procedures (functions that
produce *proven* rewrite rules on the fly, depending on current

* ordering on terms as parameter (used for ordered rewriting);

* new functions delcongs, deleqcongs, and Delcongs. richer rep_ss;

* the solver is now split into a safe and an unsafe part.
This should be invisible for the normal user, except that the
functions setsolver and addsolver have been renamed to setSolver and
addSolver; added safe_asm_full_simp_tac;

*** HOL ***

* a generic induction tactic `induct_tac' which works for all datatypes and
also for type `nat';

* a generic case distinction tactic `exhaust_tac' which works for all
datatypes and also for type `nat';

* each datatype comes with a function `size';

* patterns in case expressions allow tuple patterns as arguments to
constructors, for example `case x of [] => ... | (x,y,z)#ps => ...';

* primrec now also works with type nat;

* recdef: a new declaration form, allows general recursive functions to be
defined in theory files.  See HOL/ex/Fib, HOL/ex/Primes, HOL/Subst/Unify.

* the constant for negation has been renamed from "not" to "Not" to
harmonize with FOL, ZF, LK, etc.;

* HOL/ex/LFilter theory of a corecursive "filter" functional for
infinite lists;

* HOL/Modelcheck demonstrates invocation of model checker oracle;

* HOL/ex/Ring.thy declares cring_simp, which solves equational
problems in commutative rings, using axiomatic type classes for + and *;

* more examples in HOL/MiniML and HOL/Auth;

* more default rewrite rules for quantifiers, union/intersection;

* a new constant `arbitrary == @x.False';

* HOLCF/IOA replaces old HOL/IOA;

* HOLCF changes: derived all rules and arities
  + axiomatic type classes instead of classes
  + typedef instead of faking type definitions
  + eliminated the internal constants less_fun, less_cfun, UU_fun, UU_cfun etc.
  + new axclasses cpo, chfin, flat with flat < chfin < pcpo < cpo < po
  + eliminated the types void, one, tr
  + use unit lift and bool lift (with translations) instead of one and tr
  + eliminated blift from Lift3.thy (use Def instead of blift)
  all eliminated rules are derived as theorems --> no visible changes ;

*** ZF ***

* ZF now has Fast_tac, Simp_tac and Auto_tac.  Union_iff is a now a default
rewrite rule; this may affect some proofs.  eq_cs is gone but can be put back
as ZF_cs addSIs [equalityI];

New in Isabelle94-7 (November 96)

* allowing negative levels (as offsets) in prlev and choplev;

* super-linear speedup for large simplifications;

* FOL, ZF and HOL now use miniscoping: rewriting pushes
quantifications in as far as possible (COULD MAKE EXISTING PROOFS
FAIL); can suppress it using the command Delsimps (ex_simps @
all_simps); De Morgan laws are also now included, by default;

* improved printing of ==>  :  ~:

* new object-logic "Sequents" adds linear logic, while replacing LK
and Modal (thanks to Sara Kalvala);

* HOL/Auth: correctness proofs for authentication protocols;

* HOL: new auto_tac combines rewriting and classical reasoning (many
examples on HOL/Auth);

* HOL: new command AddIffs for declaring theorems of the form P=Q to
the rewriter and classical reasoner simultaneously;

* function uresult no longer returns theorems in "standard" format;
regain previous version by: val uresult = standard o uresult;

New in Isabelle94-6

* oracles -- these establish an interface between Isabelle and trusted
external reasoners, which may deliver results as theorems;

* proof objects (in particular record all uses of oracles);

* Simp_tac, Fast_tac, etc. that refer to implicit simpset / claset;

* "constdefs" section in theory files;

* "primrec" section (HOL) no longer requires names;

* internal type "tactic" now simply "thm -> thm Sequence.seq";

New in Isabelle94-5

* reduced space requirements;

* automatic HTML generation from theories;

* theory files no longer require "..." (quotes) around most types;

* new examples, including two proofs of the Church-Rosser theorem;

* non-curried (1994) version of HOL is no longer distributed;

New in Isabelle94-4

* greatly reduced space requirements;

* theory files (.thy) no longer require \...\ escapes at line breaks;

* searchable theorem database (see the section "Retrieving theorems" on
page 8 of the Reference Manual);

* new examples, including Grabczewski's monumental case study of the
Axiom of Choice;

* The previous version of HOL renamed to Old_HOL;

* The new version of HOL (previously called CHOL) uses a curried syntax
for functions.  Application looks like f a b instead of f(a,b);

* Mutually recursive inductive definitions finally work in HOL;

* In ZF, pattern-matching on tuples is now available in all abstractions and
translates to the operator "split";

New in Isabelle94-3

* new infix operator, addss, allowing the classical reasoner to
perform simplification at each step of its search.  Example:
        fast_tac (cs addss ss)

* a new logic, CHOL, the same as HOL, but with a curried syntax
for functions.  Application looks like f a b instead of f(a,b).  Also pairs
look like (a,b) instead of <a,b>;

* PLEASE NOTE: CHOL will eventually replace HOL!

* In CHOL, pattern-matching on tuples is now available in all abstractions.
It translates to the operator "split".  A new theory of integers is available;

* In ZF, integer numerals now denote two's-complement binary integers.
Arithmetic operations can be performed by rewriting.  See ZF/ex/Bin.ML;

* Many new examples: I/O automata, Church-Rosser theorem, equivalents
of the Axiom of Choice;

New in Isabelle94-2

* Significantly faster resolution;

* the different sections in a .thy file can now be mixed and repeated

* Database of theorems for FOL, HOL and ZF.  New
commands including qed, qed_goal and bind_thm store theorems in the database.

* Simple database queries: return a named theorem (get_thm) or all theorems of
a given theory (thms_of), or find out what theory a theorem was proved in

* Bugs fixed in the inductive definition and datatype packages;

* The classical reasoner provides deepen_tac and depth_tac, making FOL_dup_cs
and HOL_dup_cs obsolete;

* Syntactic ambiguities caused by the new treatment of syntax in Isabelle94-1
have been removed;

* Simpler definition of function space in ZF;

* new results about cardinal and ordinal arithmetic in ZF;

* 'subtype' facility in HOL for introducing new types as subsets of existing