Translation of Theorem-Proving Text in MTSR to Natural Language Text

1
Translation of Theorem-Proving Text in MTSR to
Natural Language Text
J.Antidze, Kh.Rukhaia, D.Mishelashvili, L.Tibua
2
G(N, S, P, S) lttheorem-proving-textgt
lttheorem- statementgtlttheorem-proving-with- co
mmentsgt lttheorem-statementgtltlabelgtMTSRltformulagt
ltlabelgtMTSR(ltsequence-formulagt)
ltformulagtltlabelgt(ltformula1gtltcomplemen t-symbolgtlt
formula1gt)ltcomplement- symbolgtMTSRltformulagt ltformu
la1gtMTSRltsequence- formulagtltformulagt
3
ltlabelgt( (CIDI)ltdigitsgt(rarbrcrdre)).
ltdigits1gt ltdigit1gtltdigitsgtltdigit1gt ltdigitsgt
ltdigit1gt0 ltdigit1gt 123456789 ltsequ
ence-formulaegt ltformulagt, ltsequence -
formulaegt ltformulagt
4
ltformulagtltone-place-operatorgtltformulagt (ltform
ulagtlttwo-place-operatorgtltformulagt) ltatomgt ltone-p
lace-operatorgt Ø lttwo-place-operatorgt
ÚÙ ltatomgt AltdigitsgtBltdigitsgtAB lttheorem
-proving-with-commentsgt MTSR,
ltsequence-membersgtMTSR ltsequence-membersgt
MTSRltsequence- formulaegt,ltsequence-membersgt,
MTSR ltsequence-formulagtltformulagt..,
ltsequence-membersgtltformulagt.ltlabelgt,
ltsequence-membersgtltformulagt..
ltformulagt.ltlabelgt
5
Semantic Rules for BISON lttheorem-proving-textgt
lttheorem- statementgtlttheorem-proving-with
- commentsgt t1 ? t2 t3 lttheorem-proving-with-c
ommentsgt MTSR, ltsequence-membersgtMTSR t3
? The beginning of the proof in the MTSR
theory , t12 The end of the proof in the
MTSR theory. YACC LR(1) LALR (1) Lexical
Analyzer
6
(No Transcript)
7
(No Transcript)