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authoraarne <aarne@cs.chalmers.se>2008-06-25 16:54:35 +0000
committeraarne <aarne@cs.chalmers.se>2008-06-25 16:54:35 +0000
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+AR 20/12/2005
+
+This is a translator of a part of the proof system
+by Claes Strannegård, as defined in the manuscript
+"Translating Formal Proofs into English".
+
+The functionality is to translate between a formal
+and an informal notation for proofs.
+
+As examples, we provide 3 of the 4 examples in
+Strannegård's paper. His example 3 is left as exercise.
+
+A good way to start is
+
+ % gf <test.gfs
+
+which will translate the proofs back and forth.
+
+If you modify the grammars and want to compile from source, you also need
+
+ % export GF_LIB_PATH=/home/aarne/GF/lib -- set to the path in your system
+
+Files:
+
+ ex1eng.txt -- the 3 tests
+ ex1.txt
+ ex2eng.txt
+ ex2.txt
+ ex4eng.txt
+ ex4.txt
+
+ Formula.gf -- abstract syntax of formulas
+ FormulaSymb.gf -- concrete syntax of formulas
+ Precedence.gf -- precedence package
+ ProofEng.gf -- top concrete syntax, English
+ Proof.gf -- top abstract syntax
+ ProofSymb.gf -- top concrete syntax, symboli
+
+ proof.gfcm -- precompiled translator
+
+ README -- this file
+ test.gfs -- the test script
+
+
+Notes:
+
+1. The abstract syntax does not do proof checking.
+
+2. de Morgan labels have been disambiguated with "1" and "2".
+
+3. The symbolic Ex falso quodlibet rule needs to show the
+ conclusion formula in the label to make linearization
+ possible (in the absence of smart proof checking).
+
+4. The English concrete syntax needs some extra formula
+ arguments for the same reason. These arguments can be
+ omitted, but the resulting parser returns some
+ metavariables.
+
+An interesting further task would be to implement the
+proof checker and a proof search procedure, in Haskell or,
+even better, in the GF Transfer Language.
+
+Another nice thing would be to linearize the formulas
+into real English.