Updated flags.

CoqModels/AC/cicup.dk

-(; max_AC, plus_AC, experiment ;)
+(; max_AC, plus_AC, WIP ;)
 
 Sort : Type.
 

CoqModels/AC_Gilles/1-original/cc.dk

-(; Original system as designed by ASSAF, DOWEK, JOUANNAUD and LIU.
+(; plus_ACU, lift_0, confluent, max_err
+
+Original system as designed by ASSAF, DOWEK, JOUANNAUD and LIU.
 
 Maude joins all critical pairs.
 

CoqModels/AC_Gilles/cicup_0elim.dk

-#NAME cc.
+(; plus_AC, lift_0, confluent, max_err
 
-(; System derived from original.
+System derived from original.
 
 Maude joins all critical pairs.
 

CoqModels/AC_Gilles/cicup_0elim_maxplus.dk

-#NAME cc.
+(; plus_AC, lift_0
 
-(; System derived from original.
+System derived from original.
 
 Maude requires 23 critical pairs to be joined.
   rule(i,k)     <->  max(k,rule(i,k))

CoqModels/AC_Gilles/cicup_maxAC.dk

-#NAME cc.
+(; max_ACU, lift_0
 
-(; System derived from original.
+System derived from original.
 
 No Maude test performed.
 

CoqModels/Constraints/cc.dk

+(; WIP, constraints ;)
+
 (; Natural numbers ;)
 
 N : Type.

CoqModels/HOAS/HOAS_to_DBAC.dk

-#NAME HOASDB.
+(;   WIP  ;)
 
 N : Type.
 0 : N.

CoqModels/Makefile

 
 
 # All supported flags
-FLAGS=max_AC plus_AC experiment
+FLAGS=max_AC plus_AC plus_ACU cast lift lift_0 max_err confluent WIP constraints
 
 
 DKS=$(shell find ./ -type f -name '*.dk')
@@ -26,3 +26,4 @@ all:
 		done ; \
 		echo -n "\n" >> README.md ; \
 	done
+	@cat post.txt >> README.md

CoqModels/README.md

 This project contains various implementations of cic.dk
 
-| File | max_AC | plus_AC | experiment |
-| --- | --- | --- | --- |
-| [./AC/cicup.dk](./AC/cicup.dk) | X | X | X |
-| [./HOAS/HOAS_to_DBAC.dk](./HOAS/HOAS_to_DBAC.dk) | | | |
-| [./orig/cic_coqine.dk](./orig/cic_coqine.dk) | | | |
-| [./orig/cic.dk](./orig/cic.dk) | | | |
-| [./orig/cic_v2.dk](./orig/cic_v2.dk) | | | |
-| [./old_to_ACU/translation.dk](./old_to_ACU/translation.dk) | | | |
-| [./old_to_ACU/cicup_v2.dk](./old_to_ACU/cicup_v2.dk) | | | |
-| [./Constraints/cc.dk](./Constraints/cc.dk) | | | |
-| [./Constraints/idcic.dk](./Constraints/idcic.dk) | | | |
-| [./AC_Gilles/1-original/cc.dk](./AC_Gilles/1-original/cc.dk) | | | |
-| [./AC_Gilles/cicup_maxAC.dk](./AC_Gilles/cicup_maxAC.dk) | | | |
-| [./AC_Gilles/cicup_0elim.dk](./AC_Gilles/cicup_0elim.dk) | | | |
-| [./AC_Gilles/cicup_0elim_maxplus.dk](./AC_Gilles/cicup_0elim_maxplus.dk) | | | |
-| [./example_id.dk](./example_id.dk) | | | |
-| [./AC_with_constraints/cic.dk](./AC_with_constraints/cic.dk) | | | |
+| File | max_AC | plus_AC | plus_ACU | cast | lift | lift_0 | max_err | confluent | WIP | constraints |
+| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
+| [./AC/cicup.dk](./AC/cicup.dk) | X | X | | | | | | | X | |
+| [./HOAS/HOAS_to_DBAC.dk](./HOAS/HOAS_to_DBAC.dk) | | | | | | | | | X | |
+| [./orig/cic_coqine.dk](./orig/cic_coqine.dk) | | | | X | X | | | | | |
+| [./orig/cic.dk](./orig/cic.dk) | | | | | X | | | | | |
+| [./orig/cic_v2.dk](./orig/cic_v2.dk) | | | | | | | | | | |
+| [./old_to_ACU/translation.dk](./old_to_ACU/translation.dk) | | | | | | | | | | |
+| [./old_to_ACU/cicup_v2.dk](./old_to_ACU/cicup_v2.dk) | | X | | | X | X | | | | |
+| [./Constraints/cc.dk](./Constraints/cc.dk) | | | | | | | | | X | X |
+| [./Constraints/idcic.dk](./Constraints/idcic.dk) | | | | | | | | | | |
+| [./AC_Gilles/1-original/cc.dk](./AC_Gilles/1-original/cc.dk) | | X | X | | X | X | X | X | | |
+| [./AC_Gilles/cicup_maxAC.dk](./AC_Gilles/cicup_maxAC.dk) | X | | | | X | X | | | | |
+| [./AC_Gilles/cicup_0elim.dk](./AC_Gilles/cicup_0elim.dk) | | X | | | X | X | X | X | | |
+| [./AC_Gilles/cicup_0elim_maxplus.dk](./AC_Gilles/cicup_0elim_maxplus.dk) | | X | | | X | X | | | | |
+| [./example_id.dk](./example_id.dk) | | | | | | | | | | |
+| [./AC_with_constraints/cic.dk](./AC_with_constraints/cic.dk) | | | | | | | | | | |
+
+## Flags
+* **max_AC**: `max` on universe levels is AC
+* **plus_AC**: `plus` on universe levels is AC
+* **plus_ACU**: `plus` on universe levels is ACU
+* **cast**: `cast` term from subtype to supertype is implemented 
+* **lift**: `lift` type from any universe to higher universe
+* **lift_0**: `lift` type from `Type0` to higher universe
+* **max_err**: `1 + max(i,j)` is not convertible with `max(1+i, 1+j)`
+* **confluent**: Critical pair joinability has been checked using Maude.
+* **WIP**: Implementation is still a work in progress (may not even dkcheck)
+* **constraints**: Implementation is relying on Coq-like constraints mechanisms

CoqModels/old_to_ACU/cicup_v2.dk

-#NAME cc.
+(; plus_AC, lift_0
 
-(; System derived from original.
+System derived from original.
 This variant implements :
 - Use of  AC+ 0-elimination  (instead of ACU)
 ;)

CoqModels/orig/cic.dk

-#NAME cic.
+(; lift ;)
 
 (; Natural numbers ;)
 

CoqModels/orig/cic_coqine.dk

-(;  ;)
+(; cast, lift ;)
 
 (; Natural numbers ;)
 

CoqModels/post.txt

+
+## Flags
+* **max_AC**: `max` on universe levels is AC
+* **plus_AC**: `plus` on universe levels is AC
+* **plus_ACU**: `plus` on universe levels is ACU
+* **cast**: `cast` term from subtype to supertype is implemented 
+* **lift**: `lift` type from any universe to higher universe
+* **lift_0**: `lift` type from `Type0` to higher universe
+* **max_err**: `1 + max(i,j)` is not convertible with `max(1+i, 1+j)`
+* **confluent**: Critical pair joinability has been checked using Maude.
+* **WIP**: Implementation is still a work in progress (may not even dkcheck)
+* **constraints**: Implementation is relying on Coq-like constraints mechanisms