From e7c3572bee6d3148bd7b85f4a86b0643b95d67a2 Mon Sep 17 00:00:00 2001 From: josd Date: Sat, 23 Mar 2024 17:15:12 +0100 Subject: [PATCH] using lingua:backimplication to describe backward rules --- README.md | 2 +- VERSION | 2 +- lingua/ackermann.trig | 12 ++++++------ lingua/acp.trig | 6 +++--- lingua/backward.trig | 2 +- lingua/complex.trig | 16 ++++++++-------- lingua/easter.trig | 2 +- lingua/edt.trig | 2 +- lingua/fibonacci.trig | 8 ++++---- lingua/gps.trig | 22 +++++++++++----------- lingua/mi.trig | 14 +++++++------- lingua/peano.trig | 14 +++++++------- lingua/pi.trig | 6 +++--- lingua/turing.trig | 24 ++++++++++++------------ lingua/universal.trig | 6 +++--- see.pl | 8 ++++---- see.pvm | Bin 426121 -> 426667 bytes 17 files changed, 73 insertions(+), 73 deletions(-) diff --git a/README.md b/README.md index 3b88127..d843a35 100644 --- a/README.md +++ b/README.md @@ -39,7 +39,7 @@ A forward rule with `lingua:implication false` is an inference fuse. Lingua also supports reasoning with backward rules described in RDF as ``` -_:ng1 lingua:if _:ng2. +_:ng1 lingua:backimplication _:ng2. _:ng1 { RDF triples diff --git a/VERSION b/VERSION index ee90284..90a27f9 100644 --- a/VERSION +++ b/VERSION @@ -1 +1 @@ -1.0.4 +1.0.5 diff --git a/lingua/ackermann.trig b/lingua/ackermann.trig index f055bbc..c2bf1d4 100644 --- a/lingua/ackermann.trig +++ b/lingua/ackermann.trig @@ -27,7 +27,7 @@ @prefix : <#>. # ackermann(x, y) -_:ng1 lingua:if _:ng2. +_:ng1 lingua:backimplication _:ng2. _:ng1 { (var:X var:Y) :ackermann var:A. @@ -41,7 +41,7 @@ _:ng2 { # ackermann(x, y, z) # succ (x=0) -_:ng3 lingua:if _:ng4. +_:ng3 lingua:backimplication _:ng4. _:ng3 { (0 var:Y var:Z) :ackermann var:A. @@ -53,7 +53,7 @@ _:ng4 { } # sum (x=1) -_:ng5 lingua:if _:ng6. +_:ng5 lingua:backimplication _:ng6. _:ng5 { (1 var:Y var:Z) :ackermann var:A. @@ -65,7 +65,7 @@ _:ng6 { } # product (x=2) -_:ng7 lingua:if _:ng8. +_:ng7 lingua:backimplication _:ng8. _:ng7 { (2 var:Y var:Z) :ackermann var:A. @@ -77,7 +77,7 @@ _:ng8 { } # exponentiation (x=3), tetration (x=4), pentation (x=5), hexation (x=6), etc -_:ng9 lingua:if _:ng10. +_:ng9 lingua:backimplication _:ng10. _:ng9 { (var:X 0 var:Z) :ackermann 1. @@ -87,7 +87,7 @@ _:ng10 { _:ng13 log:callWithCut true. } -_:ng11 lingua:if _:ng12. +_:ng11 lingua:backimplication _:ng12. _:ng11 { (var:X var:Y var:Z) :ackermann var:A. diff --git a/lingua/acp.trig b/lingua/acp.trig index 8e0c7d9..a14ed25 100644 --- a/lingua/acp.trig +++ b/lingua/acp.trig @@ -16,7 +16,7 @@ :anyOf :C; :noneOf :D. -_:ng1 lingua:if _:ng2. +_:ng1 lingua:backimplication _:ng2. _:ng1 { var:Pol :pass :allOfTest. @@ -36,7 +36,7 @@ _:ng4 { var:Test :has var:Field. } -_:ng5 lingua:if _:ng6. +_:ng5 lingua:backimplication _:ng6. _:ng5 { var:Pol :pass :anyOfTest. @@ -55,7 +55,7 @@ _:ng7 { var:Test :has var:Field. } -_:ng8 lingua:if _:ng9. +_:ng8 lingua:backimplication _:ng9. _:ng8 { var:Pol :pass :noneOfTest. diff --git a/lingua/backward.trig b/lingua/backward.trig index d7706fb..07e67df 100644 --- a/lingua/backward.trig +++ b/lingua/backward.trig @@ -10,7 +10,7 @@ @prefix : <#>. # something is more interesting if it is greater -_:ng1 lingua:if _:ng2. +_:ng1 lingua:backimplication _:ng2. _:ng1 { ("this" var:X) :moreInterestingThan ("that" var:Y). diff --git a/lingua/complex.trig b/lingua/complex.trig index f598910..c1f8f94 100644 --- a/lingua/complex.trig +++ b/lingua/complex.trig @@ -11,7 +11,7 @@ @prefix : <#>. # exponentiation -_:ng1 lingua:if _:ng2. +_:ng1 lingua:backimplication _:ng2. _:ng1 { ((var:A var:B) (var:C var:D)) complex:exponentiation (var:E var:F). @@ -34,7 +34,7 @@ _:ng2 { } # asin -_:ng3 lingua:if _:ng4. +_:ng3 lingua:backimplication _:ng4. _:ng3 { (var:A var:B) complex:asin (var:C var:D). @@ -63,7 +63,7 @@ _:ng4 { } # acos -_:ng5 lingua:if _:ng6. +_:ng5 lingua:backimplication _:ng6. _:ng5 { (var:A var:B) complex:acos (var:C var:D). @@ -93,7 +93,7 @@ _:ng6 { } # polar -_:ng7 lingua:if _:ng8. +_:ng7 lingua:backimplication _:ng8. _:ng7 { (var:X var:Y) complex:polar(var:R var:Tp). @@ -111,7 +111,7 @@ _:ng8 { } # dial -_:ng9 lingua:if _:ng10. +_:ng9 lingua:backimplication _:ng10. _:ng9 { (var:X var:Y var:T) complex:dial var:Tp. @@ -123,7 +123,7 @@ _:ng10 { (0 var:T) math:sum var:Tp. } -_:ng11 lingua:if _:ng12. +_:ng11 lingua:backimplication _:ng12. _:ng11 { (var:X var:Y var:T) complex:dial var:Tp. @@ -135,7 +135,7 @@ _:ng12 { (3.141592653589793 var:T) math:difference var:Tp. } -_:ng13 lingua:if _:ng14. +_:ng13 lingua:backimplication _:ng14. _:ng13 { (var:X var:Y var:T) complex:dial var:Tp. @@ -147,7 +147,7 @@ _:ng14 { (3.141592653589793 var:T) math:sum var:Tp. } -_:ng15 lingua:if _:ng16. +_:ng15 lingua:backimplication _:ng16. _:ng15 { (var:X var:Y var:T) complex:dial var:Tp. diff --git a/lingua/easter.trig b/lingua/easter.trig index d06364e..371d3d0 100644 --- a/lingua/easter.trig +++ b/lingua/easter.trig @@ -11,7 +11,7 @@ @prefix : <#>. # calculate easter day -_:ng1 lingua:if _:ng2. +_:ng1 lingua:backimplication _:ng2. _:ng1 { (var:x0) :easter (var:x34 var:x32). diff --git a/lingua/edt.trig b/lingua/edt.trig index fedcf22..92778d5 100644 --- a/lingua/edt.trig +++ b/lingua/edt.trig @@ -23,7 +23,7 @@ _:ng1 { <> log:imports <../../eye/reasoning/edt/test-dl.ttl>. } -_:ng2 lingua:if _:ng3. +_:ng2 lingua:backimplication _:ng3. _:ng2 { var:X a var:D. diff --git a/lingua/fibonacci.trig b/lingua/fibonacci.trig index 01fdb53..cb5d0c2 100644 --- a/lingua/fibonacci.trig +++ b/lingua/fibonacci.trig @@ -10,7 +10,7 @@ @prefix : <#>. # backward rules -_:ng1 lingua:if _:ng2. +_:ng1 lingua:backimplication _:ng2. _:ng1 { (var:X) :fibonacci var:Y. @@ -20,19 +20,19 @@ _:ng2 { (var:X 0 1) :fib var:Y. } -_:ng3 lingua:if true. +_:ng3 lingua:backimplication true. _:ng3 { (0 var:A var:B) :fib var:A. } -_:ng4 lingua:if true. +_:ng4 lingua:backimplication true. _:ng4 { (1 var:A var:B) :fib var:B. } -_:ng5 lingua:if _:ng6. +_:ng5 lingua:backimplication _:ng6. _:ng5 { (var:X var:A var:B) :fib var:Y. diff --git a/lingua/gps.trig b/lingua/gps.trig index bc1291a..186a7f3 100644 --- a/lingua/gps.trig +++ b/lingua/gps.trig @@ -28,7 +28,7 @@ @prefix : <#>. # find paths in the state space from initial state to goal state within limits -_:ng1 lingua:if _:ng2. +_:ng1 lingua:backimplication _:ng2. _:ng1 { () gps:findpath (var:Goal var:Path var:Duration var:Cost var:Belief var:Comfort @@ -40,7 +40,7 @@ _:ng2 { (var:MaxDuration var:MaxCost var:MinBelief var:MinComfort 1)). } -_:ng3 lingua:if _:ng4. +_:ng3 lingua:backimplication _:ng4. _:ng3 { () gps:findpath (var:Goal var:Path var:Duration var:Cost var:Belief var:Comfort @@ -52,7 +52,7 @@ _:ng4 { (var:MaxDuration var:MaxCost var:MinBelief var:MinComfort var:MaxStagecount)). } -_:ng5 lingua:if _:ng6. +_:ng5 lingua:backimplication _:ng6. _:ng5 { () gps:findpaths (var:Maps var:Goal var:Path var:Duration var:Cost var:Belief var:Comfort var:Path var:Duration var:Cost var:Belief var:Comfort @@ -63,7 +63,7 @@ _:ng6 { var:Goal log:call true. } -_:ng7 lingua:if _:ng8. +_:ng7 lingua:backimplication _:ng8. _:ng7 { () gps:findpaths (var:Maps_s var:Goal var:Path_s var:Duration_s var:Cost_s var:Belief_s var:Comfort_s var:Path var:Duration var:Cost var:Belief var:Comfort @@ -98,13 +98,13 @@ _:ng10 { } # counting the number of stages (a stage is a sequence of gps in the same map) -_:ng11 lingua:if true. +_:ng11 lingua:backimplication true. _:ng11 { () gps:stagecount 1. } -_:ng12 lingua:if _:ng13. +_:ng12 lingua:backimplication _:ng13. _:ng12 { var:A gps:stagecount var:B. @@ -118,7 +118,7 @@ _:ng13 { (var:G 1) math:sum var:B. } -_:ng14 lingua:if _:ng15. +_:ng14 lingua:backimplication _:ng15. _:ng14 { var:A gps:stagecount var:B. @@ -133,7 +133,7 @@ _:ng15 { :i1 :location :Gent. # map of Belgium -_:ng16 lingua:if _:ng17. +_:ng16 lingua:backimplication _:ng17. _:ng16 { :map-BE gps:description (_:ng18 true _:ng19 :drive_gent_brugge 1500.0 0.006 0.96 0.99). @@ -151,7 +151,7 @@ _:ng19 { var:S :location :Brugge. } -_:ng20 lingua:if _:ng21. +_:ng20 lingua:backimplication _:ng21. _:ng20 { :map-BE gps:description (_:ng22 true _:ng23 :drive_gent_kortrijk 1600.0 0.007 0.96 0.99). @@ -169,7 +169,7 @@ _:ng23 { var:S :location :Kortrijk. } -_:ng24 lingua:if _:ng25. +_:ng24 lingua:backimplication _:ng25. _:ng24 { :map-BE gps:description (_:ng26 true _:ng27 :drive_kortrijk_brugge 1600.0 0.007 0.96 0.99). @@ -187,7 +187,7 @@ _:ng27 { var:S :location :Brugge. } -_:ng28 lingua:if _:ng29. +_:ng28 lingua:backimplication _:ng29. _:ng28 { :map-BE gps:description (_:ng30 true _:ng31 :drive_brugge_oostende 900.0 0.004 0.98 1.0). diff --git a/lingua/mi.trig b/lingua/mi.trig index 8d2601c..123bdb7 100644 --- a/lingua/mi.trig +++ b/lingua/mi.trig @@ -10,13 +10,13 @@ @prefix : <#>. # meta-interpreter rules -_:mi_rule1_head lingua:if true. +_:mi_rule1_head lingua:backimplication true. _:mi_rule1_head { () :mi (). } -_:mi_rule2_head lingua:if _:mi_rule2_body. +_:mi_rule2_head lingua:backimplication _:mi_rule2_body. _:mi_rule2_head { () :mi var:A. @@ -29,7 +29,7 @@ _:mi_rule2_body { } # general head-body rules -_:hb_rule1_head lingua:if true. +_:hb_rule1_head lingua:backimplication true. _:hb_rule1_head { () :headBody (_:hb_rule1_head_graph1 var:Rs var:Rs). @@ -39,7 +39,7 @@ _:hb_rule1_head_graph1 { () :mi (). } -_:hb_rule2_head lingua:if _:hb_rule2_body. +_:hb_rule2_head lingua:backimplication _:hb_rule2_body. _:hb_rule2_head { () :headBody (_:hb_rule2_head_graph1 var:B var:Rs). @@ -63,7 +63,7 @@ _:hb_rule2_body_graph2 { () :mi var:Goals. } -_:hb_rule3_head lingua:if _:hb_rule3_body. +_:hb_rule3_head lingua:backimplication _:hb_rule3_body. _:hb_rule3_head { () :headBody (_:hb_rule3_head_graph1 var:Rs var:Rs). @@ -78,7 +78,7 @@ _:hb_rule3_body { } # natnum head-body rules -_:natnum_hb_rule1_head lingua:if true. +_:natnum_hb_rule1_head lingua:backimplication true. _:natnum_hb_rule1_head { () :headBody (_:natnum_hb_rule1_head_graph1 var:Rs var:Rs). @@ -88,7 +88,7 @@ _:natnum_hb_rule1_head_graph1 { () :natnum (0). } -_:natnum_hb_rule2_head lingua:if _:natnum_hb_rule2_body. +_:natnum_hb_rule2_head lingua:backimplication _:natnum_hb_rule2_body. _:natnum_hb_rule2_head { () :headBody (_:natnum_hb_rule2_head_graph1 var:A var:Rs). diff --git a/lingua/peano.trig b/lingua/peano.trig index af49c14..852dd71 100644 --- a/lingua/peano.trig +++ b/lingua/peano.trig @@ -10,13 +10,13 @@ @prefix : <#>. # add -_:ng1 lingua:if true. +_:ng1 lingua:backimplication true. _:ng1 { (var:A 0) :add var:A. } -_:ng2 lingua:if _:ng3. +_:ng2 lingua:backimplication _:ng3. _:ng2 { (var:A (:s var:B)) :add (:s var:C). @@ -27,13 +27,13 @@ _:ng3 { } # multiply -_:ng4 lingua:if true. +_:ng4 lingua:backimplication true. _:ng4 { (var:A 0) :multiply 0. } -_:ng5 lingua:if _:ng6. +_:ng5 lingua:backimplication _:ng6. _:ng5 { (var:A (:s var:B)) :multiply var:C. @@ -45,7 +45,7 @@ _:ng6 { } # factorial -_:ng7 lingua:if _:ng8. +_:ng7 lingua:backimplication _:ng8. _:ng7 { var:A :factorial var:B. @@ -55,13 +55,13 @@ _:ng8 { (var:A (:s 0)) :fac var:B. } -_:ng9 lingua:if true. +_:ng9 lingua:backimplication true. _:ng9 { (0 var:A) :fac var:A. } -_:ng10 lingua:if _:ng11. +_:ng10 lingua:backimplication _:ng11. _:ng10 { ((:s var:A) var:B) :fac var:C. diff --git a/lingua/pi.trig b/lingua/pi.trig index fff38af..237a307 100644 --- a/lingua/pi.trig +++ b/lingua/pi.trig @@ -9,7 +9,7 @@ @prefix var: . @prefix : <#>. -_:ng1 lingua:if _:ng2. +_:ng1 lingua:backimplication _:ng2. _:ng1 { (var:N var:Pi) :pi true. @@ -21,13 +21,13 @@ _:ng2 { (3 var:A) math:sum var:Pi. } -_:ng3 lingua:if true. +_:ng3 lingua:backimplication true. _:ng3 { (var:N var:N var:P var:P var:S) :pi true. } -_:ng4 lingua:if _:ng5. +_:ng4 lingua:backimplication _:ng5. _:ng4 { (var:K var:N var:P0 var:P var:S) :pi true. diff --git a/lingua/turing.trig b/lingua/turing.trig index 511e18e..cd1bad7 100644 --- a/lingua/turing.trig +++ b/lingua/turing.trig @@ -11,7 +11,7 @@ @prefix : <#>. # interpreter for Turing machine -_:ng1 lingua:if _:ng2. +_:ng1 lingua:backimplication _:ng2. _:ng1 { () :compute var:OutTape. @@ -22,7 +22,7 @@ _:ng2 { (var:I () "#" ()) :find var:OutTape. } -_:ng3 lingua:if _:ng4. +_:ng3 lingua:backimplication _:ng4. _:ng3 { var:List :compute var:OutTape. @@ -34,7 +34,7 @@ _:ng4 { (var:I () var:Head var:Tail) :find var:OutTape. } -_:ng5 lingua:if _:ng6. +_:ng5 lingua:backimplication _:ng6. _:ng5 { (var:State var:Left var:Cell var:Right) :find var:OutTape. @@ -46,7 +46,7 @@ _:ng6 { (var:Next var:A var:B var:C) :continue var:OutTape. } -_:ng7 lingua:if _:ng8. +_:ng7 lingua:backimplication _:ng8. _:ng7 { (:halt var:Left var:Cell var:Right) :continue var:OutTape. @@ -58,7 +58,7 @@ _:ng8 { (var:R var:List) list:append var:OutTape. } -_:ng9 lingua:if _:ng10. +_:ng9 lingua:backimplication _:ng10. _:ng9 { (var:State var:Left var:Cell var:Right) :continue var:OutTape. @@ -68,7 +68,7 @@ _:ng10 { (var:State var:Left var:Cell var:Right) :find var:OutTape. } -_:ng11 lingua:if _:ng12. +_:ng11 lingua:backimplication _:ng12. _:ng11 { (:left () var:Cell var:Right () "#" var:L) :move true. @@ -78,7 +78,7 @@ _:ng12 { var:L list:firstRest (var:Cell var:Right). } -_:ng13 lingua:if _:ng14. +_:ng13 lingua:backimplication _:ng14. _:ng13 { (:left var:List var:Cell var:Right var:Tail var:Head var:L) :move true. @@ -89,13 +89,13 @@ _:ng14 { var:L list:firstRest (var:Cell var:Right). } -_:ng15 lingua:if true. +_:ng15 lingua:backimplication true. _:ng15 { (:stop var:Left var:Cell var:Right var:Left var:Cell var:Right) :move true. } -_:ng16 lingua:if _:ng17. +_:ng16 lingua:backimplication _:ng17. _:ng16 { (:right var:Left var:Cell () var:L "#" ()) :move true. @@ -105,7 +105,7 @@ _:ng17 { var:L list:firstRest (var:Cell var:Left). } -_:ng18 lingua:if _:ng19. +_:ng18 lingua:backimplication _:ng19. _:ng18 { (:right var:Left var:Cell var:List var:L var:Head var:Tail) :move true. @@ -116,13 +116,13 @@ _:ng19 { var:L list:firstRest (var:Cell var:Left). } -_:ng20 lingua:if true. +_:ng20 lingua:backimplication true. _:ng20 { () :reverse (). } -_:ng21 lingua:if _:ng22. +_:ng21 lingua:backimplication _:ng22. _:ng21 { var:List :reverse var:Reverse. diff --git a/lingua/universal.trig b/lingua/universal.trig index 9511795..4a0a3df 100644 --- a/lingua/universal.trig +++ b/lingua/universal.trig @@ -9,14 +9,14 @@ @prefix : <#>. # \Every x: type(x, Resource -_:ng1 lingua:if true. +_:ng1 lingua:backimplication true. _:ng1 { var:X a rdfs:Resource. } # Everybody loves somebody who is lonely -_:ng2 lingua:if _:ng3. +_:ng2 lingua:backimplication _:ng3. _:ng2 { var:A :loves var:B. @@ -26,7 +26,7 @@ _:ng3 { (var:A) log:skolem var:B. } -_:ng4 lingua:if _:ng5. +_:ng4 lingua:backimplication _:ng5. _:ng4 { var:B :is :lonely. diff --git a/see.pl b/see.pl index b59d09c..4a5f40e 100644 --- a/see.pl +++ b/see.pl @@ -19,7 +19,7 @@ :- use_module(library(semweb/turtle)). :- catch(use_module(library(http/http_open)), _, true). -version_info('SEE v1.0.4 (2024-03-22)'). +version_info('SEE v1.0.5 (2024-03-23)'). help_info('Usage: see * * @@ -72,7 +72,7 @@ :- dynamic(''/2). :- dynamic(''/2). :- dynamic(''/2). -:- dynamic(''/2). +:- dynamic(''/2). :- dynamic(''/2). :- dynamic(''/2). :- dynamic(''/2). @@ -228,7 +228,7 @@ ), ''(Q, I))), % create backward rules assertz(implies(( - ''(B, A), + ''(B, A), findvars([A, B], V, alpha), list_to_set(V, U), makevars([A, B, U], [Q, I, X], beta(U)), @@ -413,7 +413,7 @@ conj_list(S, Y), append(Vl, X, U), makevars([M, S], [Q, I], alpha(U)) - ), ''(Q, I))), + ), ''(Q, I))), % blow inference fuse assertz(implies(( ''(V, G), diff --git a/see.pvm b/see.pvm index 96b03747b53cddb703372f50eb5ebda9cc656521..0882fcdf5f9ff43fffcd7e0c766183e905c1b7ba 100755 GIT binary patch delta 404396 zcmV)AK*Ya^ff}oY8jyJd;fZ&Ve2)&{iFa6plEW3zfCd1#oU<7L^kIKBx~(cp5I%{V zkc9U;P&@({!Xpp};gvvu76b?hghwE}O30FIi^!6rN8*G6tgCBTmStI%Em>q`Y)2Jn z2oR_^4y3A6Nq3lrk11+WHC5fkqrTPMsZ~>tZ_Ui=^{t-oN3U7m-uv9EdvtZru@k1& znp!Di-*e7BuYLCG?6ZG&?o;=A6Hn2e8}=K9;^SRXgnCpwBiCAlszZBSI 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