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+program = { declaration } ;
+
+declaration = set_decl | element_decl | theory_decl | instance_decl ;
+
+set_decl = "let set" , set_var , "=" , set ;
+element_decl = "let element" , elem_var , ":" , set , "=" , element ;
+theory_decl = "let signature" , sig_var , "=" , signature ;
+instance_decl = "let instance" , inst_var , "::" , signature , "=" , instance ;
+
+set = record_set | variant_set | builtin_set | claimed_set | set_var | "(" , set , ")" ;
+record_set = "record" , "{" , [ set_field { "," , set_field } ] , "}" ;
+set_field = "." , lower_ident , ":" , set ;
+variant_set = "variant" , "{" , [ variant_field { "|" , variant_field } ] , "}" ;
+variant_field = lower_ident , "." , ":" , set ;
+builtin_set = "Nat" | "Int" | "Float" | "Str" | "Bool" ;
+claimed_set = "set" , "(" , instance , ")" ;
+
+signature = "Set" | theory_sig | function_sig | sig_var | "(" , signature , ")" ;
+theory_sig = "theory" , "{" , [ sig_field { "," , sig_field } ] , "}" ;
+sig_field = "." , upper_ident , "::" , signature ;
+function_sig = param_list , "->" , signature ;
+param_list = param { param } ;
+param = "(" , elem_var , ":" , set , ")" ;
+
+element = case_elem | app_elem ;
+case_elem = "case" , element , "of" , "{" , [ case_arm { "|" , case_arm } ] , "}" ;
+case_arm = inject_elem , elem_var , "=>" , element ;
+app_elem = dot_elem { dot_elem } ;
+dot_elem = { inject_elem } , atom_elem , { project_elem } ;
+inject_elem = ident , "." ;
+project_elem = "." , ident ;
+atom_elem = literal | elem_var | record_elem | "(" , element , ")" ;
+record_elem = "{" , [ elem_assign { "," , elem_assign } ] , "}" ;
+elem_assign = project_elem , "=" , element ;
+
+instance = for_inst | app_inst ;
+for_inst = "for" , param_list , "," , instance ;
+app_inst = dot_inst { dot_elem } ;
+dot_inst = atom_inst { project_elem } ;
+atom_inst = set | inst_var | record_inst | "(" , instance , ")" ;
+record_inst = "{" , [ inst_assign { "," , inst_assign } ] , "}" ;
+inst_assign = project_elem , "=" , instance ;
+
+literal = nat_lit | int_lit | float_lit | str_lit | bool_lit ;
+nat_lit = digit , { digit } ;
+int_lit = "-" , digit , { digit } ;
+float_lit = [ "-" ] , digit , { digit } , "." , digit , { digit } ;
+str_lit = '"' , { any_character_except_quote } , '"' ;
+bool_lit = "true" | "false" ;
+
+set_var = upper_ident ;
+sig_var = upper_ident ;
+elem_var = lower_ident ;
+inst_var = lower_ident ;
+
+upper_ident = upper_case_letter , { ident_char } ;
+lower_ident = lower_case_letter , { ident_char } ;
+ident = (upper_case_letter | lower_case_letter) , { ident_char } ;
+
+upper_case_letter = "A"..."Z" ;
+lower_case_letter = "a"..."z" ;
+digit = "0"..."9" ;
+ident_char = upper_case_letter | lower_case_letter | digit | "_" | "'" ;