Import of code from J Slaney web-page.

url: http://users.cecs.anu.edu.au/~jks/software/magic.2.2.1.tar.gz

dat/BTW.show

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+ B  Axioms 1 - 8 as for FD.
+           9.   ((A -> B) & (A -> C)) -> (A -> (B & C))
+          10.   ((A -> C) & (B -> C)) -> ((A v B) -> C)
+
+    Rules 1 - 2, 8 - 12 as for FD.
+    Rules 6 and 7 replaced by the above axioms.
+    Rules 3 - 5 replaced by:
+
+          4'.   A -> B  ==>  (C -> A) -> (C -> B)
+          5'.   A -> B  ==>  (B -> C) -> (A -> C)
+
+ DW is B with rule 8 replaced by the axiom form:
+
+    Axiom 11.   (A -> ~B) -> (B -> ~A)
+
+ TW is DW with rules 4' and 5' replaced by the axiom forms:
+
+    Axiom 12.   (A -> B) -> ((C -> A) -> (C -> B))
+          13.   (A -> B) -> ((B -> C) -> (A -> C))

dat/CUT.show

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+ A user-defined connective may optionally be marked with a "cut".
+ This serves to control backtracking much as in Prolog. MaGIC will
+ not generate two models whose most significant difference is in 
+ a connective with a cut.
+
+ Thus for example, where `A' is a primitive 0-adic connective and 
+ a rule
+     A v ~A /
+ has been added, MaGIC will normally generate failures of the law 
+ of the excluded middle. However, if `A' has been marked with a cut
+ then MaGIC will generate models in which that law fails: if it 
+ fails for more than one element of a model, only the smallest such 
+ element will be reported.
+
+

dat/FDL.show

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+ FD Axioms:  1.  A -> A
+             2.  (A & B) -> A
+             3.  (A & B) -> B
+             4.  A -> (A v B)
+             5.  B -> (A v B)
+             6.  ~~A -> A
+             7.  F -> A
+             8.  A -> T
+
+ Rules:  1.       A -> B,  A  ==>  B
+         2.            A,  B  ==>  A & B
+         3.  A -> B,  B -> C  ==>  A -> C
+         4.  A -> B,  B -> A  ==>  (C -> A) -> (C -> B)
+         5.  A -> B,  B -> A  ==>  (B -> C) -> (A -> C)
+         6.  A -> B,  A -> C  ==>  A -> (B & C)
+         7.  A -> C,  B -> C  ==>  (A v B) -> C
+         8.          A -> ~B  ==>  B -> ~A
+         9.                A  ==>  t -> A
+        10.           t -> A  ==>  A
+        11.    A -> (B -> C)  ==>  (A o B) -> C
+        12.     (A o B) -> C  ==>  A -> (B -> C)

dat/LOG.show

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+ Axioms for the stronger logics are as follows:
+
+     EW  is  TW   plus   ((A -> A) -> B) -> B
+ 
+      C  is  TW   plus   A -> ((A -> B) -> B)
+ 
+      T  is  TW   plus   (A -> (A -> B)) -> (A -> B)
+
+                  and    (A -> ~A) -> ~A
+ 
+      E  is  T    plus   ((A -> A) -> B) -> B 
+
+      R  is  C    plus   (A -> (A -> B)) -> (A -> B)
+
+     CK  is  C    plus   A -> (B -> A)
+
+     S4  is  E    plus   A -> (B -> B)
+
+ Axiomatisations of fragments of these logics result by 
+ selecting the axioms and rules which explicitly mention 
+ the appropriate connectives. 

dat/MEN.show

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+ 
+ Menu options:
+
+ a:  Add a pre- or user-defined axiom or rule to the logic.
+ 
+ b:  Specify a formula to fail in the matrices found.
+ 
+ c:  Define a connective.   E.g.  +  defined  ~a -> b.
+ 
+ d:  Delete either an axiom, a user-defined connective or the bad guy.
+ 
+ e:  Exit from MAGIC.
+ 
+ f:  Choose the fragment (pre-defined connectives).
+ 
+ g:  Search for matrices.
+ 
+ h:  Display this page.
+ 
+ i:  Change the output formats.
+ 
+ j:  Set a condition on which to jump out of the search.
+ 
+ k:  Re-initialise everything.
+ 
+ l:  Change your mind about your favourite logic.
+
+ m:  Display information about MaGIC (version number etc).
+
+ n:  Change number of processes (parallel version only).
+
+ o:  Re-order dyadic connectives for scope or significance purposes.
+
+ p:  Select which tables to print when matrices are found.
+
+ q:  Quit MaGIC (equivalent to e).
+
+ r:  Read a job specification from a named file.
+
+ s:  Write the current job specification to a named file.
+

dat/OUT.show

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+
+ Output formats are as follows:
+ 
+ "Pretty":  Matrices are printed in human-readable form.
+            This is the default for tty output.  Each 
+            matrix is followed by an assignment of values
+            falsifying the "bad guy" if there is one.
+
+ "Ugly":    Matrices are printed in a standard machine-
+            readable form with -1 as break character.
+            No headings, comments, etc. are included.
+
+ "Summary": Only the numbers of matrices are printed.
+            This is useful for checking the size of a
+            job before getting a printout of matrices.
+            It runs slightly faster than "pretty" or
+            "ugly".
+
+ "None":    No matrices are printed, although the final
+            statistics are still sent to the tty.  This
+            is the default for file output.
+

dat/WFF.show

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+
+
+ The following conventions govern typing of formulas.
+ 
+ (a)   Variables are any (upper or lower case) letters other 
+       than those (such as 'o' and 'v') used as connectives.
+       't', 'f', 'T' and 'F' are sentential constants.
+ 
+ (b)   Parentheses are as normal, with the features that
+       connectives of smaller scope bind more tightly than 
+       those of larger scope, and that except as scope and 
+       parentheses dictate, association is to the left.
+ 
+       Unary connectives have minimal scope.  The binary ones
+       in order of increasing scope are  o  &  v  -> followed
+       by user-defined ones. The scope order may be changed.
+
+       A period may replace a left parenthesis whose right 
+       mate is as far to the right as is reasonable.
+
+ (c)   Spaces are ignored.  RETURN terminates the formula.
+

dat/l.8

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