diff options
Diffstat (limited to 'Library/ProofGraph.hs')
-rw-r--r-- | Library/ProofGraph.hs | 116 |
1 files changed, 116 insertions, 0 deletions
diff --git a/Library/ProofGraph.hs b/Library/ProofGraph.hs new file mode 100644 index 0000000..f4d956f --- /dev/null +++ b/Library/ProofGraph.hs @@ -0,0 +1,116 @@ +module Library.ProofGraph ( + PGraph, + doGraphGen + ) where + + + +import Data.Maybe +import Data.List +import Data.Set( Set ) +import qualified Data.Set as Set +import Data.Map( Map, (!) ) +import qualified Data.Map as Map + +import Data.Graph.Inductive.Graph( LNode, LEdge, (&) ) +import qualified Data.Graph.Inductive.Graph as Graph +import Data.Graph.Inductive.Tree + +import Library.Stack( Stack, at, (<:>) ) +import qualified Library.Stack as Stack +import Library.Parse( isNumber, isName ) +import Library.GraphPart( checkDupe ) + + + +type PGraph = Gr String (Int,Int) +type PStack = Stack (Int, LNode String) +type PMap = Map Int (Int, LNode String) + + +data CommandIO = IO { args :: Int + , results :: Int } + + +argMap :: String -> CommandIO +argMap "absTerm" = IO 2 1 +argMap "absThm" = IO 2 1 +argMap "appTerm" = IO 2 1 +argMap "appThm" = IO 2 1 +argMap "assume" = IO 1 1 +argMap "axiom" = IO 2 1 +argMap "betaConv" = IO 1 1 +argMap "cons" = IO 2 1 +argMap "const" = IO 1 1 +argMap "constTerm" = IO 2 1 +argMap "deductAntisym" = IO 2 1 +argMap "defineConst" = IO 2 2 +argMap "defineTypeOp" = IO 5 5 +argMap "eqMp" = IO 2 1 +argMap "nil" = IO 0 1 +argMap "opType" = IO 2 1 +argMap "refl" = IO 1 1 +argMap "subst" = IO 2 1 +argMap "thm" = IO 3 0 +argMap "typeOp" = IO 1 1 +argMap "var" = IO 2 1 +argMap "varTerm" = IO 1 1 +argMap "varType" = IO 1 1 +argMap x | (isName x) = IO 0 1 + + + +process :: String -> CommandIO -> PGraph -> PStack -> (PGraph, PStack) +process str io graph stack = + let argList = map (\x -> fromJust (stack `at` x)) [0..((args io) - 1)] + nextNum = head (Graph.newNodes 1 graph) + node = (nextNum, str) + edgeList = map (\x -> (nextNum, (fst . snd . snd $ x), (fst x, fst . snd $ x))) (zip [1..(args io)] argList) + graph' = (Graph.insEdges edgeList) . (Graph.insNode node) $ graph + nodeList = map (\x -> (x, node)) [1..(results io)] + stack' = foldr (<:>) (Stack.pop (args io) stack) nodeList + in (graph', stack') + + + +parse :: (PGraph,PStack,PMap) -> String -> (PGraph,PStack,PMap) +parse gs@(graph,stack,dictionary) str = + case str of + "def" -> let num = fst . fromJust $ stack `at` 0 + node = fromJust $ stack `at` 1 + dictionary' = Map.insert num node dictionary + stack' = Stack.pop 1 stack + in (graph, stack', dictionary') + + "ref" -> let num = fst . fromJust $ stack `at` 0 + node = fromJust (Map.lookup num dictionary) + stack' = node <:> (Stack.pop 1 stack) + in (graph, stack', dictionary) + + "remove" -> let num = fst . fromJust $ stack `at` 0 + node = fromJust (Map.lookup num dictionary) + stack' = node <:> (Stack.pop 1 stack) + dictionary' = Map.delete num dictionary + in (graph, stack', dictionary') + + "pop" -> (graph, (Stack.pop 1 stack), dictionary) + + '#':rest -> gs + + n | (isNumber n) -> let node = (read n, (0,"")) + stack' = node <:> stack + in (graph, stack', dictionary) + + x -> let (graph', stack') = process x (argMap x) graph stack + in (graph', stack', dictionary) + + + +doGraphGen :: [String] -> PGraph +doGraphGen list = + let graph = Graph.empty + stack = Stack.empty + dictionary = Map.empty + result = foldl' parse (graph,stack,dictionary) list + in case result of (g,s,d) -> checkDupe g + |