From 49960d8950d001a372a0abde670a66ee60026957 Mon Sep 17 00:00:00 2001 From: Shinya Sato Date: Tue, 5 Mar 2024 18:19:27 +0900 Subject: v0.12.0 --- sample/245II.in | 62 --------------------------------------------------------- 1 file changed, 62 deletions(-) delete mode 100644 sample/245II.in (limited to 'sample/245II.in') diff --git a/sample/245II.in b/sample/245II.in deleted file mode 100644 index 27910eb..0000000 --- a/sample/245II.in +++ /dev/null @@ -1,62 +0,0 @@ -// 245II in YALE encoding - -// Rules -Lam(a,b,c) >< App(x,y) => a~x, b~y, c~D; -D >< V => ; -B(a,x,e) >< Lam(b,c,y) => x~Lam(b,c,d), y~DB(a,d,e); -DB(a,b,c) >< V => a~c, b~V; -C(x,y) >< Lam(s,t,u) => - x~Lam(a,b,c), y~Lam(d,e,f), - s~Delta(a,d), t~Delta(b,e), u~C(c,f); -C(x,y) >< V => x~V, y~V; -Delta(x,y) >< Delta(a,b) => x~a, y~b; -B(x,a,b) >< Delta(c,d) => x~CB(a,b,Delta(c,d)); -Delta(a,b) >< CB(x,y,z) => - x~Delta(c,d), y~Delta(e,f), z~Delta(B(a,c,e),B(b,d,f)); -Delta(x,y) >< V => x~V, y~V; -Delta(x,y) >< C(t,s) => - x~C(a,b), y~C(c,d), t~Delta(b,d), s~Delta(a,c); -Delta(x,y) >< App(t,s) => - x~App(a,b), y~App(c,d), t~Delta(a,c), s~Delta(b,d); -Delta(x,y) >< Lam(t,s,u)=> - x~Lam(a,b,c), y~Lam(d,e,f), - t~Delta(a,d), s~Delta(b,e), u~Delta(c,f); -DB(x,y,z) >< CB(t,s,u) => - x~CB(d,e,u), y~CB(t,f,d), s~DB(e,f,z); -C(x,y) >< CB(t,s,u) => - x~CB(a,b,c), y~CB(d,e,f), - t~Delta(a,d), s~C(b,e), u~C(c,f); -D >< CB(a,b,c) => a~c, b~D; - -Eps >< Eps => ; -Eps >< S(x) => x~Eps; -Eps >< V => ; -Eps >< D =>; -Eps >< Delta(t,s) => t~Eps,s~Eps; -Eps >< Lam(t,s,u) => t~Eps,s~Eps,u~Eps; -Eps >< App(t,s) => t~Eps,s~Eps; -Eps >< B(t,s,u) => t~Eps,s~Eps,u~Eps; -Eps >< CB(t,s,u) => t~Eps,s~Eps,u~Eps; - - -// Nets -// lam x.x -id1 ~ Lam(i,i,V); -id2 ~ Lam(i2,i2,V); - -// lam f. lam x. f(fx) -two ~ Lam(Lam(a,b,c),B(c,C(App(a,d),App(d,b)),V),V); - -// lam f. lam x. f(fx) -four ~ Lam(Lam(dz4, dx2, da1), B(da1, C(App(dz4, dz3), C(App(dz3, dz2), C(App(dz2, dz1), App(dz1, dx2)))), V), V); - -// lam f. lam x. f(fx) -five ~ Lam(Lam(z53, x23, a13), B(a13, C(App(z53, z43), C(App(z43, z33), C(App(z33,z23), C(App(z23, z13), App(z13, x23))))), V), V); - -// 245II -two ~ App(aux1, four); -aux1 ~ App(aux2, five); -aux2 ~ App(aux3, id1); -aux3 ~ App(aux4, id2); -aux4; -exit; -- cgit v1.2.3