NEWS
author paulson
Fri Apr 03 13:32:42 1998 +0200 (1998-04-03)
changeset 4779 62572b45819c
parent 4766 9658aab68363
child 4801 f8701e067e43
permissions -rw-r--r--
UNITY
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Isabelle NEWS -- history of user-visible changes
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================================================
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New in Isabelle??? (FIXME)
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--------------------------
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* Rewrite rules for case distinctions can now be added permanently to the
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  default simpset using Addsplits just like Addsimps. They can be removed via
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  Delsplits just like Delsimps. Lower-case versions are also available.
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  For applications see HOL below.
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* Changed wrapper mechanism for the classical reasoner now allows for selected
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  deletion of wrappers, by introduction of names for wrapper functionals.
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  This implies that addbefore, addSbefore, addaltern, and addSaltern now take
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  a pair (name, tactic) as argument, and that adding two tactics with the same
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  name overwrites the first one (emitting a warning).
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  setWrapper, setSWrapper, compWrapper and compSWrapper are replaced by
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  addWrapper, addSWrapper: claset * wrapper -> claset
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  delWrapper, delSWrapper: claset *  string -> claset
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  getWrapper is renamed to appWrappers, getSWrapper to appSWrappers;
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*** HOL ***
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* New directory HOL/UNITY: Chandy and Misra's UNITY formalism
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* split_all_tac now fails if there is nothing to split
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  split_all_tac has moved within claset() from usafe wrappers to safe wrappers
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* added disj_not1 = "(~P | Q) = (P --> Q)" to the default simpset
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* HOL/Arithmetic: removed 'pred' (predecessor) function; and generalized
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  some theorems about n-1
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* HOL/Relation: renamed the relational operatotr r^-1 "converse" instead of
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  "inverse"
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* Simplifier:
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 -The rule expand_if is now part of the default simpset. This means that
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  the simplifier will eliminate all ocurrences of if-then-else in the
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  conclusion of a goal. To prevent this, you can either remove expand_if
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  completely from the default simpset by `Delsplits [expand_if]' or
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  remove it in a specific call of the simplifier using
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  `... delsplits [expand_if]'.
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  You can also add/delete other case splitting rules to/from the default
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  simpset: every datatype generates a suitable rule `split_t_case' (where t
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  is the name of the datatype).
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 -Asm_full_simp_tac is now more aggressive:
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  1. It will sometimes reorient premises if that increases their power to
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     simplify.
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  2. It does no longer proceed strictly from left to right but may also
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     rotate premises to achieve further simplification.
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  For compatibility reasons there is now Asm_lr_simp_tac which is like the
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  old Asm_full_simp_tac in that it does not rotate premises.
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* new theory Vimage (inverse image of a function, syntax f-``B);
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* many new identities for unions, intersections, etc.;
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New in Isabelle98 (January 1998)
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--------------------------------
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*** Overview of INCOMPATIBILITIES (see below for more details) ***
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* changed lexical syntax of terms / types: dots made part of long
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identifiers, e.g. "%x.x" no longer possible, should be "%x. x";
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* simpset (and claset) reference variable replaced by functions
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simpset / simpset_ref;
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* no longer supports theory aliases (via merge) and non-trivial
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implicit merge of thms' signatures;
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* most internal names of constants changed due to qualified names;
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* changed Pure/Sequence interface (see Pure/seq.ML);
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*** General Changes ***
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* hierachically structured name spaces (for consts, types, axms, thms
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etc.); new lexical class 'longid' (e.g. Foo.bar.x) may render much of
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old input syntactically incorrect (e.g. "%x.x"); COMPATIBILITY:
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isatool fixdots ensures space after dots (e.g. "%x. x"); set
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long_names for fully qualified output names; NOTE: ML programs
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(special tactics, packages etc.) referring to internal names may have
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to be adapted to cope with fully qualified names; in case of severe
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backward campatibility problems try setting 'global_names' at compile
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time to have enrything declared within a flat name space; one may also
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fine tune name declarations in theories via the 'global' and 'local'
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section;
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* reimplemented the implicit simpset and claset using the new anytype
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data filed in signatures; references simpset:simpset ref etc. are
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replaced by functions simpset:unit->simpset and
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simpset_ref:unit->simpset ref; COMPATIBILITY: use isatool fixclasimp
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to patch your ML files accordingly;
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* HTML output now includes theory graph data for display with Java
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applet or isatool browser; data generated automatically via isatool
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usedir (see -i option, ISABELLE_USEDIR_OPTIONS);
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* defs may now be conditional; improved rewrite_goals_tac to handle
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conditional equations;
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* defs now admits additional type arguments, using TYPE('a) syntax;
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* theory aliases via merge (e.g. M=A+B+C) no longer supported, always
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creates a new theory node; implicit merge of thms' signatures is
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restricted to 'trivial' ones; COMPATIBILITY: one may have to use
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transfer:theory->thm->thm in (rare) cases;
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* improved handling of draft signatures / theories; draft thms (and
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ctyps, cterms) are automatically promoted to real ones;
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* slightly changed interfaces for oracles: admit many per theory, named
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(e.g. oracle foo = mlfun), additional name argument for invoke_oracle;
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* print_goals: optional output of const types (set show_consts and
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show_types);
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* improved output of warnings (###) and errors (***);
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* subgoal_tac displays a warning if the new subgoal has type variables;
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* removed old README and Makefiles;
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* replaced print_goals_ref hook by print_current_goals_fn and result_error_fn;
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* removed obsolete init_pps and init_database;
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* deleted the obsolete tactical STATE, which was declared by
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    fun STATE tacfun st = tacfun st st;
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* cd and use now support path variables, e.g. $ISABELLE_HOME, or ~
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(which abbreviates $HOME);
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* changed Pure/Sequence interface (see Pure/seq.ML); COMPATIBILITY:
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use isatool fixseq to adapt your ML programs (this works for fully
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qualified references to the Sequence structure only!);
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* use_thy no longer requires writable current directory; it always
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reloads .ML *and* .thy file, if either one is out of date;
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*** Classical Reasoner ***
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* Clarify_tac, clarify_tac, clarify_step_tac, Clarify_step_tac: new
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tactics that use classical reasoning to simplify a subgoal without
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splitting it into several subgoals;
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* Safe_tac: like safe_tac but uses the default claset;
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*** Simplifier ***
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* added simplification meta rules:
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    (asm_)(full_)simplify: simpset -> thm -> thm;
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* simplifier.ML no longer part of Pure -- has to be loaded by object
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logics (again);
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* added prems argument to simplification procedures;
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* HOL, FOL, ZF: added infix function `addsplits':
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  instead of `<simpset> setloop (split_tac <thms>)'
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  you can simply write `<simpset> addsplits <thms>'
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*** Syntax ***
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* TYPE('a) syntax for type reflection terms;
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* no longer handles consts with name "" -- declare as 'syntax' instead;
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* pretty printer: changed order of mixfix annotation preference (again!);
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* Pure: fixed idt/idts vs. pttrn/pttrns syntactic categories;
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*** HOL ***
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* HOL: there is a new splitter `split_asm_tac' that can be used e.g. 
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  with `addloop' of the simplifier to faciliate case splitting in premises.
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* HOL/TLA: Stephan Merz's formalization of Lamport's Temporal Logic of Actions;
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* HOL/Auth: new protocol proofs including some for the Internet
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  protocol TLS;
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* HOL/Map: new theory of `maps' a la VDM;
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* HOL/simplifier: simplification procedures nat_cancel_sums for
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cancelling out common nat summands from =, <, <= (in)equalities, or
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differences; simplification procedures nat_cancel_factor for
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cancelling common factor from =, <, <= (in)equalities over natural
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sums; nat_cancel contains both kinds of procedures, it is installed by
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default in Arith.thy -- this COULD MAKE EXISTING PROOFS FAIL;
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* HOL/simplifier: terms of the form
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  `? x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x)'  (or t=x)
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  are rewritten to
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  `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t)',
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  and those of the form
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  `! x. P1(x) & ... & Pn(x) & x=t & Q1(x) & ... Qn(x) --> R(x)'  (or t=x)
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  are rewritten to
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  `P1(t) & ... & Pn(t) & Q1(t) & ... Qn(t) --> R(t)',
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* HOL/datatype
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  Each datatype `t' now comes with a theorem `split_t_case' of the form
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  P(t_case f1 ... fn x) =
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     ( (!y1 ... ym1. x = C1 y1 ... ym1 --> P(f1 y1 ... ym1)) &
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        ...
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       (!y1 ... ymn. x = Cn y1 ... ymn --> P(f1 y1 ... ymn))
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     )
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  which can be added to a simpset via `addsplits'. The existing theorems
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  expand_list_case and expand_option_case have been renamed to
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  split_list_case and split_option_case.
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  Additionally, there is a theorem `split_t_case_asm' of the form
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  P(t_case f1 ... fn x) =
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    ~( (? y1 ... ym1. x = C1 y1 ... ym1 & ~P(f1 y1 ... ym1)) |
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        ...
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       (? y1 ... ymn. x = Cn y1 ... ymn & ~P(f1 y1 ... ymn))
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     )
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  it be used with the new `split_asm_tac'.
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* HOL/Arithmetic:
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  - `pred n' is automatically converted to `n-1'.
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    Users are strongly encouraged not to use `pred' any longer,
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    because it will disappear altogether at some point.
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  - Users are strongly encouraged to write "0 < n" rather than
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    "n ~= 0". Theorems and proof tools have been modified towards this
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    `standard'.
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* HOL/Lists:
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  the function "set_of_list" has been renamed "set" (and its theorems too);
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  the function "nth" now takes its arguments in the reverse order and
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  has acquired the infix notation "!" as in "xs!n".
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* HOL/Set: UNIV is now a constant and is no longer translated to Compl{};
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* HOL/Set: The operator (UN x.B x) now abbreviates (UN x:UNIV. B x) and its
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  specialist theorems (like UN1_I) are gone.  Similarly for (INT x.B x);
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* HOL/record: extensible records with schematic structural subtyping
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(single inheritance); EXPERIMENTAL version demonstrating the encoding,
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still lacks various theorems and concrete record syntax;
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*** HOLCF ***
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* removed "axioms" and "generated by" sections;
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* replaced "ops" section by extended "consts" section, which is capable of
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  handling the continuous function space "->" directly;
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* domain package:
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  . proves theorems immediately and stores them in the theory,
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  . creates hierachical name space,
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  . now uses normal mixfix annotations (instead of cinfix...),
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  . minor changes to some names and values (for consistency),
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  . e.g. cases -> casedist, dists_eq -> dist_eqs, [take_lemma] -> take_lemmas,
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  . separator between mutual domain defs: changed "," to "and",
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  . improved handling of sort constraints;  now they have to
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    appear on the left-hand side of the equations only;
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* fixed LAM <x,y,zs>.b syntax;
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* added extended adm_tac to simplifier in HOLCF -- can now discharge
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adm (%x. P (t x)), where P is chainfinite and t continuous;
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*** FOL and ZF ***
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* FOL: there is a new splitter `split_asm_tac' that can be used e.g. 
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  with `addloop' of the simplifier to faciliate case splitting in premises.
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* qed_spec_mp, qed_goal_spec_mp, qed_goalw_spec_mp are available, as
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in HOL, they strip ALL and --> from proved theorems;
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New in Isabelle94-8 (May 1997)
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------------------------------
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*** General Changes ***
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* new utilities to build / run / maintain Isabelle etc. (in parts
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still somewhat experimental); old Makefiles etc. still functional;
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* new 'Isabelle System Manual';
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* INSTALL text, together with ./configure and ./build scripts;
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* reimplemented type inference for greater efficiency, better error
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messages and clean internal interface;
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* prlim command for dealing with lots of subgoals (an easier way of
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setting goals_limit);
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*** Syntax ***
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* supports alternative (named) syntax tables (parser and pretty
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printer); internal interface is provided by add_modesyntax(_i);
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* Pure, FOL, ZF, HOL, HOLCF now support symbolic input and output; to
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be used in conjunction with the Isabelle symbol font; uses the
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"symbols" syntax table;
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* added token_translation interface (may translate name tokens in
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arbitrary ways, dependent on their type (free, bound, tfree, ...) and
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the current print_mode); IMPORTANT: user print translation functions
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are responsible for marking newly introduced bounds
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(Syntax.mark_boundT);
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* token translations for modes "xterm" and "xterm_color" that display
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names in bold, underline etc. or colors (which requires a color
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version of xterm);
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* infixes may now be declared with names independent of their syntax;
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* added typed_print_translation (like print_translation, but may
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access type of constant);
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*** Classical Reasoner ***
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Blast_tac: a new tactic!  It is often more powerful than fast_tac, but has
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some limitations.  Blast_tac...
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  + ignores addss, addbefore, addafter; this restriction is intrinsic
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  + ignores elimination rules that don't have the correct format
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	(the conclusion MUST be a formula variable)
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  + ignores types, which can make HOL proofs fail
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  + rules must not require higher-order unification, e.g. apply_type in ZF
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    [message "Function Var's argument not a bound variable" relates to this]
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  + its proof strategy is more general but can actually be slower
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* substitution with equality assumptions no longer permutes other
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assumptions;
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* minor changes in semantics of addafter (now called addaltern); renamed
paulson@3002
   353
setwrapper to setWrapper and compwrapper to compWrapper; added safe wrapper
wenzelm@3107
   354
(and access functions for it);
paulson@3002
   355
oheimb@3317
   356
* improved combination of classical reasoner and simplifier: 
oheimb@3317
   357
  + functions for handling clasimpsets
oheimb@3317
   358
  + improvement of addss: now the simplifier is called _after_ the
oheimb@3317
   359
    safe steps.
oheimb@3317
   360
  + safe variant of addss called addSss: uses safe simplifications
oheimb@3317
   361
    _during_ the safe steps. It is more complete as it allows multiple 
oheimb@3317
   362
    instantiations of unknowns (e.g. with slow_tac).
wenzelm@3006
   363
paulson@3002
   364
*** Simplifier ***
paulson@3002
   365
wenzelm@3006
   366
* added interface for simplification procedures (functions that
wenzelm@3006
   367
produce *proven* rewrite rules on the fly, depending on current
wenzelm@3006
   368
redex);
wenzelm@3006
   369
wenzelm@3006
   370
* ordering on terms as parameter (used for ordered rewriting);
wenzelm@3006
   371
wenzelm@3107
   372
* new functions delcongs, deleqcongs, and Delcongs. richer rep_ss;
paulson@3002
   373
paulson@3002
   374
* the solver is now split into a safe and an unsafe part.
paulson@3002
   375
This should be invisible for the normal user, except that the
paulson@3002
   376
functions setsolver and addsolver have been renamed to setSolver and
wenzelm@3107
   377
addSolver; added safe_asm_full_simp_tac;
paulson@3002
   378
paulson@3002
   379
paulson@3002
   380
*** HOL ***
paulson@3002
   381
nipkow@3042
   382
* a generic induction tactic `induct_tac' which works for all datatypes and
wenzelm@3107
   383
also for type `nat';
nipkow@3042
   384
nipkow@3316
   385
* a generic case distinction tactic `exhaust_tac' which works for all
nipkow@3316
   386
datatypes and also for type `nat';
nipkow@3316
   387
nipkow@3316
   388
* each datatype comes with a function `size';
nipkow@3316
   389
paulson@3002
   390
* patterns in case expressions allow tuple patterns as arguments to
wenzelm@3107
   391
constructors, for example `case x of [] => ... | (x,y,z)#ps => ...';
paulson@3002
   392
paulson@3002
   393
* primrec now also works with type nat;
paulson@3002
   394
paulson@3338
   395
* recdef: a new declaration form, allows general recursive functions to be
paulson@3338
   396
defined in theory files.  See HOL/ex/Fib, HOL/ex/Primes, HOL/Subst/Unify.
paulson@3338
   397
paulson@3002
   398
* the constant for negation has been renamed from "not" to "Not" to
wenzelm@3107
   399
harmonize with FOL, ZF, LK, etc.;
paulson@3002
   400
wenzelm@3107
   401
* HOL/ex/LFilter theory of a corecursive "filter" functional for
wenzelm@3107
   402
infinite lists;
paulson@3002
   403
wenzelm@3227
   404
* HOL/Modelcheck demonstrates invocation of model checker oracle;
wenzelm@3227
   405
paulson@3002
   406
* HOL/ex/Ring.thy declares cring_simp, which solves equational
paulson@3002
   407
problems in commutative rings, using axiomatic type classes for + and *;
paulson@3002
   408
paulson@3002
   409
* more examples in HOL/MiniML and HOL/Auth;
paulson@3002
   410
paulson@3002
   411
* more default rewrite rules for quantifiers, union/intersection;
paulson@3002
   412
nipkow@3321
   413
* a new constant `arbitrary == @x.False';
nipkow@3321
   414
wenzelm@3107
   415
* HOLCF/IOA replaces old HOL/IOA;
wenzelm@3107
   416
slotosch@2653
   417
* HOLCF changes: derived all rules and arities 
slotosch@2653
   418
  + axiomatic type classes instead of classes 
slotosch@2653
   419
  + typedef instead of faking type definitions
paulson@2747
   420
  + eliminated the internal constants less_fun, less_cfun, UU_fun, UU_cfun etc.
wenzelm@2730
   421
  + new axclasses cpo, chfin, flat with flat < chfin < pcpo < cpo < po
slotosch@2653
   422
  + eliminated the types void, one, tr
slotosch@2653
   423
  + use unit lift and bool lift (with translations) instead of one and tr
slotosch@2653
   424
  + eliminated blift from Lift3.thy (use Def instead of blift)
wenzelm@3107
   425
  all eliminated rules are derived as theorems --> no visible changes ;
oheimb@2649
   426
wenzelm@3006
   427
paulson@3002
   428
*** ZF ***
wenzelm@2553
   429
paulson@2865
   430
* ZF now has Fast_tac, Simp_tac and Auto_tac.  Union_iff is a now a default
paulson@2865
   431
rewrite rule; this may affect some proofs.  eq_cs is gone but can be put back
paulson@2865
   432
as ZF_cs addSIs [equalityI];
wenzelm@2553
   433
wenzelm@2554
   434
wenzelm@2732
   435
wenzelm@2553
   436
New in Isabelle94-7 (November 96)
wenzelm@2553
   437
---------------------------------
wenzelm@2553
   438
wenzelm@2553
   439
* allowing negative levels (as offsets) in prlev and choplev;
wenzelm@2553
   440
wenzelm@2554
   441
* super-linear speedup for large simplifications;
wenzelm@2554
   442
wenzelm@2554
   443
* FOL, ZF and HOL now use miniscoping: rewriting pushes
wenzelm@2554
   444
quantifications in as far as possible (COULD MAKE EXISTING PROOFS
wenzelm@2554
   445
FAIL); can suppress it using the command Delsimps (ex_simps @
wenzelm@2554
   446
all_simps); De Morgan laws are also now included, by default;
wenzelm@2554
   447
wenzelm@2554
   448
* improved printing of ==>  :  ~:
wenzelm@2554
   449
wenzelm@2554
   450
* new object-logic "Sequents" adds linear logic, while replacing LK
wenzelm@2554
   451
and Modal (thanks to Sara Kalvala);
wenzelm@2554
   452
wenzelm@2554
   453
* HOL/Auth: correctness proofs for authentication protocols;
wenzelm@2554
   454
wenzelm@2554
   455
* HOL: new auto_tac combines rewriting and classical reasoning (many
wenzelm@2554
   456
examples on HOL/Auth);
wenzelm@2554
   457
wenzelm@2554
   458
* HOL: new command AddIffs for declaring theorems of the form P=Q to
wenzelm@2554
   459
the rewriter and classical reasoner simultaneously;
wenzelm@2554
   460
wenzelm@2554
   461
* function uresult no longer returns theorems in "standard" format;
wenzelm@2554
   462
regain previous version by: val uresult = standard o uresult;
wenzelm@2554
   463
wenzelm@2554
   464
wenzelm@2554
   465
wenzelm@2554
   466
New in Isabelle94-6
wenzelm@2554
   467
-------------------
wenzelm@2554
   468
wenzelm@2554
   469
* oracles -- these establish an interface between Isabelle and trusted
wenzelm@2554
   470
external reasoners, which may deliver results as theorems;
wenzelm@2554
   471
wenzelm@2554
   472
* proof objects (in particular record all uses of oracles);
wenzelm@2554
   473
wenzelm@2554
   474
* Simp_tac, Fast_tac, etc. that refer to implicit simpset / claset;
wenzelm@2554
   475
wenzelm@2554
   476
* "constdefs" section in theory files;
wenzelm@2554
   477
wenzelm@2554
   478
* "primrec" section (HOL) no longer requires names;
wenzelm@2554
   479
wenzelm@2554
   480
* internal type "tactic" now simply "thm -> thm Sequence.seq";
wenzelm@2554
   481
wenzelm@2554
   482
wenzelm@2554
   483
wenzelm@2554
   484
New in Isabelle94-5
wenzelm@2554
   485
-------------------
wenzelm@2554
   486
wenzelm@2554
   487
* reduced space requirements;
wenzelm@2554
   488
wenzelm@2554
   489
* automatic HTML generation from theories;
wenzelm@2554
   490
wenzelm@2554
   491
* theory files no longer require "..." (quotes) around most types;
wenzelm@2554
   492
wenzelm@2554
   493
* new examples, including two proofs of the Church-Rosser theorem;
wenzelm@2554
   494
wenzelm@2554
   495
* non-curried (1994) version of HOL is no longer distributed;
wenzelm@2554
   496
wenzelm@2553
   497
paulson@2557
   498
paulson@2557
   499
New in Isabelle94-4
paulson@2557
   500
-------------------
paulson@2557
   501
paulson@2747
   502
* greatly reduced space requirements;
paulson@2557
   503
paulson@2557
   504
* theory files (.thy) no longer require \...\ escapes at line breaks;
paulson@2557
   505
paulson@2557
   506
* searchable theorem database (see the section "Retrieving theorems" on 
paulson@2557
   507
page 8 of the Reference Manual);
paulson@2557
   508
paulson@2557
   509
* new examples, including Grabczewski's monumental case study of the
paulson@2557
   510
Axiom of Choice;
paulson@2557
   511
paulson@2557
   512
* The previous version of HOL renamed to Old_HOL;
paulson@2557
   513
paulson@2557
   514
* The new version of HOL (previously called CHOL) uses a curried syntax 
paulson@2557
   515
for functions.  Application looks like f a b instead of f(a,b);
paulson@2557
   516
paulson@2557
   517
* Mutually recursive inductive definitions finally work in HOL;
paulson@2557
   518
paulson@2557
   519
* In ZF, pattern-matching on tuples is now available in all abstractions and
paulson@2557
   520
translates to the operator "split";
paulson@2557
   521
paulson@2557
   522
paulson@2557
   523
paulson@2557
   524
New in Isabelle94-3
paulson@2557
   525
-------------------
paulson@2557
   526
paulson@2557
   527
* new infix operator, addss, allowing the classical reasoner to 
paulson@2557
   528
perform simplification at each step of its search.  Example:
paulson@2557
   529
	fast_tac (cs addss ss)
paulson@2557
   530
paulson@2557
   531
* a new logic, CHOL, the same as HOL, but with a curried syntax 
paulson@2557
   532
for functions.  Application looks like f a b instead of f(a,b).  Also pairs 
paulson@2557
   533
look like (a,b) instead of <a,b>;
paulson@2557
   534
paulson@2557
   535
* PLEASE NOTE: CHOL will eventually replace HOL!
paulson@2557
   536
paulson@2557
   537
* In CHOL, pattern-matching on tuples is now available in all abstractions.
paulson@2557
   538
It translates to the operator "split".  A new theory of integers is available;
paulson@2557
   539
paulson@2557
   540
* In ZF, integer numerals now denote two's-complement binary integers.
paulson@2557
   541
Arithmetic operations can be performed by rewriting.  See ZF/ex/Bin.ML;
paulson@2557
   542
paulson@2557
   543
* Many new examples: I/O automata, Church-Rosser theorem, equivalents 
paulson@2557
   544
of the Axiom of Choice;
paulson@2557
   545
paulson@2557
   546
paulson@2557
   547
paulson@2557
   548
New in Isabelle94-2
paulson@2557
   549
-------------------
paulson@2557
   550
paulson@2557
   551
* Significantly faster resolution;  
paulson@2557
   552
paulson@2557
   553
* the different sections in a .thy file can now be mixed and repeated
paulson@2557
   554
freely;
paulson@2557
   555
paulson@2557
   556
* Database of theorems for FOL, HOL and ZF.  New
paulson@2557
   557
commands including qed, qed_goal and bind_thm store theorems in the database.
paulson@2557
   558
paulson@2557
   559
* Simple database queries: return a named theorem (get_thm) or all theorems of
paulson@2557
   560
a given theory (thms_of), or find out what theory a theorem was proved in
paulson@2557
   561
(theory_of_thm);
paulson@2557
   562
paulson@2557
   563
* Bugs fixed in the inductive definition and datatype packages;
paulson@2557
   564
paulson@2557
   565
* The classical reasoner provides deepen_tac and depth_tac, making FOL_dup_cs
paulson@2557
   566
and HOL_dup_cs obsolete;
paulson@2557
   567
paulson@2557
   568
* Syntactic ambiguities caused by the new treatment of syntax in Isabelle94-1
paulson@2557
   569
have been removed;
paulson@2557
   570
paulson@2557
   571
* Simpler definition of function space in ZF;
paulson@2557
   572
paulson@2557
   573
* new results about cardinal and ordinal arithmetic in ZF;
paulson@2557
   574
paulson@2557
   575
* 'subtype' facility in HOL for introducing new types as subsets of existing
paulson@2557
   576
types;
paulson@2557
   577
paulson@2557
   578
wenzelm@2553
   579
$Id$