doc-src/TutorialI/Misc/document/prime_def.tex
author noschinl
Wed, 08 Dec 2010 18:18:36 +0100
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introduce attribute case_prod for combining case rules * * * [PATCH 1/9] Make tac independent of consumes From 1a53ef4c070f924ff8e69529b0c1b13fa2844722 Mon Sep 17 00:00:00 2001 --- case_product.ML | 11 ++++++----- 1 files changed, 6 insertions(+), 5 deletions(-) * * * [PATCH 2/9] Replace MRS by OF From da55d08ae287bfdc18dec554067b45a3e298c243 Mon Sep 17 00:00:00 2001 --- case_product.ML | 4 ++-- 1 files changed, 2 insertions(+), 2 deletions(-) * * * [PATCH 3/9] Clean up tactic From d26d50caaa3526c8c0625d7395467c6914f1a8d9 Mon Sep 17 00:00:00 2001 --- case_product.ML | 13 +++++-------- 1 files changed, 5 insertions(+), 8 deletions(-) * * * [PATCH 4/9] Move out get_consumes a bit more From 6ed5415f29cc43cea30c216edb1e74ec6c0f6c33 Mon Sep 17 00:00:00 2001 --- case_product.ML | 4 +++- 1 files changed, 3 insertions(+), 1 deletions(-) * * * [PATCH 5/9] Clean up tactic From d301cfe6377e9f7db74b190fb085e0e66eeadfb5 Mon Sep 17 00:00:00 2001 --- case_product.ML | 3 +-- 1 files changed, 1 insertions(+), 2 deletions(-) * * * [PATCH 6/9] Cleanup build_concl_prems From c30889e131e74a92caac5b1e6d3d816890406ca7 Mon Sep 17 00:00:00 2001 --- case_product.ML | 18 ++++++++---------- 1 files changed, 8 insertions(+), 10 deletions(-) * * * [PATCH 7/9] Split logic & annotation a bit From e065606118308c96e013fad72ab9ad89b5a4b945 Mon Sep 17 00:00:00 2001 --- case_product.ML | 26 ++++++++++++++++++-------- 1 files changed, 18 insertions(+), 8 deletions(-) * * * [PATCH 8/9] Remove dependency on consumes attribute From e2a4de044481586d6127bbabd0ef48d0e3ab57c0 Mon Sep 17 00:00:00 2001 --- case_product.ML | 46 ++++++++++++++++++++++------------------------ 1 files changed, 22 insertions(+), 24 deletions(-) * * * [PATCH 9/9] whitespace From 59f5036bd8f825da4a362970292a34ec06c0f1a2 Mon Sep 17 00:00:00 2001 --- case_product.ML | 2 +- 1 files changed, 1 insertions(+), 1 deletions(-)
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\begin{isabellebody}%
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\def\isabellecontext{prime{\isaliteral{5F}{\isacharunderscore}}def}%
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\isadelimtheory
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\endisatagtheory
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{\isafoldtheory}%
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\endisadelimtheory
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\begin{isamarkuptext}%
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\begin{warn}
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A common mistake when writing definitions is to introduce extra free
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variables on the right-hand side.  Consider the following, flawed definition
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(where \isa{dvd} means ``divides''):
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\begin{isabelle}%
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\ \ \ \ \ {\isaliteral{22}{\isachardoublequote}}prime\ p\ {\isaliteral{5C3C65717569763E}{\isasymequiv}}\ {\isadigit{1}}\ {\isaliteral{3C}{\isacharless}}\ p\ {\isaliteral{5C3C616E643E}{\isasymand}}\ {\isaliteral{28}{\isacharparenleft}}m\ dvd\ p\ {\isaliteral{5C3C6C6F6E6772696768746172726F773E}{\isasymlongrightarrow}}\ m\ {\isaliteral{3D}{\isacharequal}}\ {\isadigit{1}}\ {\isaliteral{5C3C6F723E}{\isasymor}}\ m\ {\isaliteral{3D}{\isacharequal}}\ p{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}%
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\end{isabelle}
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\par\noindent\hangindent=0pt
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Isabelle rejects this ``definition'' because of the extra \isa{m} on the
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right-hand side, which would introduce an inconsistency (why?). 
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The correct version is
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\begin{isabelle}%
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\ \ \ \ \ {\isaliteral{22}{\isachardoublequote}}prime\ p\ {\isaliteral{5C3C65717569763E}{\isasymequiv}}\ {\isadigit{1}}\ {\isaliteral{3C}{\isacharless}}\ p\ {\isaliteral{5C3C616E643E}{\isasymand}}\ {\isaliteral{28}{\isacharparenleft}}{\isaliteral{5C3C666F72616C6C3E}{\isasymforall}}m{\isaliteral{2E}{\isachardot}}\ m\ dvd\ p\ {\isaliteral{5C3C6C6F6E6772696768746172726F773E}{\isasymlongrightarrow}}\ m\ {\isaliteral{3D}{\isacharequal}}\ {\isadigit{1}}\ {\isaliteral{5C3C6F723E}{\isasymor}}\ m\ {\isaliteral{3D}{\isacharequal}}\ p{\isaliteral{29}{\isacharparenright}}{\isaliteral{22}{\isachardoublequote}}%
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\end{isabelle}
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\end{warn}%
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\end{isamarkuptext}%
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\isamarkuptrue%
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\isadelimtheory
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\endisadelimtheory
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\endisatagtheory
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{\isafoldtheory}%
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\endisadelimtheory
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\end{isabellebody}%
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "root"
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%%% End: