From d52c715c7913efd84b4c615bd4162ba05ea93281 Mon Sep 17 00:00:00 2001 From: breandan Date: Wed, 10 Jul 2024 03:44:34 -0400 Subject: [PATCH] simplify unit prod rule --- .../experiments/ablation_dfa_walker.tex | 7 ++++++- latex/popl2025/popl.pdf | Bin 729541 -> 725920 bytes latex/popl2025/popl.tex | 4 ++-- .../kaliningraph/parsing/BarHillel.kt | 11 ++++++++--- .../ai/hypergraph/kaliningraph/parsing/CFG.kt | 4 +++- .../kaliningraph/parsing/SetValiant.kt | 2 +- .../hypergraph/kaliningraph/automata/JFSA.kt | 6 +++--- .../kaliningraph/parsing/JVMBarHillel.kt | 8 +++++++- 8 files changed, 30 insertions(+), 12 deletions(-) diff --git a/latex/popl2025/experiments/ablation_dfa_walker.tex b/latex/popl2025/experiments/ablation_dfa_walker.tex index ca227e11..82e9d898 100644 --- a/latex/popl2025/experiments/ablation_dfa_walker.tex +++ b/latex/popl2025/experiments/ablation_dfa_walker.tex @@ -24,4 +24,9 @@ 4 0.10 }; \end{axis} -\end{tikzpicture} \ No newline at end of file +\end{tikzpicture} + 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zw>MEF1iN_U8S$`5hsYuD{^CQNy#*a+HOOlCmjvGM(eH#AuMg3*q!iVdkdY&q-&{7v zSOy8jK6D2Vl_=0Q$`EIMKhtIS3g)FzTYO7bx{>K1j$0d*-z#Lnpvdafq^2c)h?hh#veR8OM7q`%&-E&nJqHfwipv7|!Gu7z0m2~th z_u1iFi&lT8t2~w-@iYz17%jIszS808f6H zCXQicFu9=jdMpoj8e1?NYQT|rYkuib;IqK67IMJV6J*ixlAlf=dil7ZVIyrAS{2%& z>dpP}^2nguXX|{F^u#wf1qLnPko%i1WLAh6tLK?N=N2t6l;q%TEmmJPPMg$09fp;5 zT3;SROE5>i1*Tk}!~>KVuyQCNj^VPd*3481otnv?eAoX1m8 zUu!EZ3I#(JkAG*Mm^UR(P2^GvcD4P1qu!yVWKtu}ATWJ56GM4*VSA96w(c_4n>1U_ zO2IIFcNr5=ohIe~qu=}lhqWtb@+VZGLr%LxWtb;)6Pz7ha R01yXC2obWgD`_he{s+;iMV0^n diff --git a/latex/popl2025/popl.tex b/latex/popl2025/popl.tex index d314abec..f48d71b8 100644 --- a/latex/popl2025/popl.tex +++ b/latex/popl2025/popl.tex @@ -9,7 +9,7 @@ %\documentclass[sigplan,review]{acmart}\settopmatter{printfolios=true} %% For final camera-ready submission, w/ required CCS and ACM Reference %\documentclass[sigplan,nonacm]{acmart} -\documentclass[sigplan,review,acmsmall,nonacm]{acmart}\settopmatter{printfolios=false,printccs=false,printacmref=false} +\documentclass[sigplan,review,acmsmall,nonacm,screen,anonymous]{acmart}\settopmatter{printfolios=false,printccs=false,printacmref=false} %% Conference information @@ -733,7 +733,7 @@ Now, we know that if the Parikh divergence between two intervals is nonzero, those intervals must be incompatible as no two strings, one from each Parikh interval, can be transformed into the other with fewer than $\pi \parallel \pi'$ edits. \begin{definition}[Parikh compatibility] - Let $q, q'$ be NFA states and $v$ be a CFG nonterminal. We call $\langle q, v, q'\rangle: Q\times V\times Q$ \textit{compatible} iff their divergence is zero, i.e., $v \lhd qq' \iff (\pi(v) \parallel \pi(q, q')) = 0$. + Let $q, q'$ be NFA states and $v$ be a CFG nonterminal. We call $\langle q, v, q'\rangle: Q\times V\times Q$ \textit{compatible} iff their divergence is zero, i.e., $v \lhd qq' \iff \big(\pi(v) \parallel \pi(q, q')\big) = 0$. \end{definition} Finally, we define the modified Bar-Hillel construction for nominal Levenshtein automata as:\vspace{-2pt} diff --git a/src/commonMain/kotlin/ai/hypergraph/kaliningraph/parsing/BarHillel.kt b/src/commonMain/kotlin/ai/hypergraph/kaliningraph/parsing/BarHillel.kt index 942f578c..26942fd1 100644 --- a/src/commonMain/kotlin/ai/hypergraph/kaliningraph/parsing/BarHillel.kt +++ b/src/commonMain/kotlin/ai/hypergraph/kaliningraph/parsing/BarHillel.kt @@ -91,9 +91,14 @@ fun CFG.intersectLevFSAP(fsa: FSA, parikhMap: ParikhMap = this.parikhMap): CFG { // For every production A → σ in P, for every (p, σ, q) ∈ Q × Σ × Q // such that δ(p, σ) = q we have the production [p, A, q] → σ in P′. fun CFG.unitProdRules(fsa: FSA): List>> = - (unitProductions * fsa.nominalize().flattenedTriples) - .filter { (_, σ: Σᐩ, arc) -> (arc.π2)(σ) } - .map { (A, σ, arc) -> "[${arc.π1}~$A~${arc.π3}]" to listOf(σ) } +// (unitProductions * fsa.nominalize().flattenedTriples) +// .filter { (_, σ: Σᐩ, arc) -> (arc.π2)(σ) } +// .map { (A, σ, arc) -> "[${arc.π1}~$A~${arc.π3}]" to listOf(σ) } + (unitProductions * fsa.Q).map { (A, σ, arc) -> + if (arc.π2.startsWith("[!=]") && σ != arc.π2.drop(4)) "[${arc.π1}~$A~${arc.π3}]" to listOf("<$A>") + else if (arc.π2.startsWith("[.*]")) "[${arc.π1}~$A~${arc.π3}]" to listOf("<$A>") + else "[${arc.π1}~$A~${arc.π3}]" to listOf(σ) + } fun CFG.postProcess() = this.also { println("∩-grammar has ${it.size} total productions") } diff --git a/src/commonMain/kotlin/ai/hypergraph/kaliningraph/parsing/CFG.kt b/src/commonMain/kotlin/ai/hypergraph/kaliningraph/parsing/CFG.kt index b6a9d185..067beecc 100644 --- a/src/commonMain/kotlin/ai/hypergraph/kaliningraph/parsing/CFG.kt +++ b/src/commonMain/kotlin/ai/hypergraph/kaliningraph/parsing/CFG.kt @@ -1,9 +1,9 @@ @file:Suppress("NonAsciiCharacters") package ai.hypergraph.kaliningraph.parsing +import ai.hypergraph.kaliningraph.* import ai.hypergraph.kaliningraph.graphs.LabeledGraph import ai.hypergraph.kaliningraph.sampling.choose -import ai.hypergraph.kaliningraph.tokenizeByWhitespace import ai.hypergraph.kaliningraph.types.* import kotlin.jvm.JvmName import kotlin.random.Random @@ -55,6 +55,8 @@ val CFG.tmap: Map, Set<Σᐩ>> by cache { .mapValues { it.value.map { it.second }.toSet() } } +val CFG.unicodeMap by cache { terminals.associateBy { Random(it.hashCode()).nextInt().toChar().toUnicodeEscaped() } } + val CFG.ntLst by cache { (symbols + "ε").toList() } val CFG.ntMap by cache { ntLst.mapIndexed { i, s -> s to i }.toMap() } diff --git a/src/commonMain/kotlin/ai/hypergraph/kaliningraph/parsing/SetValiant.kt b/src/commonMain/kotlin/ai/hypergraph/kaliningraph/parsing/SetValiant.kt index adecdb19..9219b1f6 100644 --- a/src/commonMain/kotlin/ai/hypergraph/kaliningraph/parsing/SetValiant.kt +++ b/src/commonMain/kotlin/ai/hypergraph/kaliningraph/parsing/SetValiant.kt @@ -199,7 +199,7 @@ val HOLE_MARKER = "_" fun Σᐩ.containsHole(): Bln = HOLE_MARKER in tokenizeByWhitespace() fun Σᐩ.isHoleTokenIn(cfg: CFG) = containsHole() || isNonterminalStubIn(cfg) //val ntRegex = Regex("<[^\\s>]*>") -fun Σᐩ.isNonterminalStub() = isNotEmpty() && first() == '<' && last() == '>' +fun Σᐩ.isNonterminalStub() = length > 3 && first() == '<' && last() == '>' fun Σᐩ.isNonterminalStubInNTs(nts: Set<Σᐩ>): Bln = isNonterminalStub() && drop(1).dropLast(1) in nts fun Σᐩ.isNonterminalStubIn(cfg: CFG): Bln = isNonterminalStub() && drop(1).dropLast(1) in cfg.nonterminals fun Σᐩ.isNonterminalStubIn(CJL: CJL): Bln = CJL.cfgs.map { isNonterminalStubIn(it) }.all { it } diff --git a/src/jvmMain/kotlin/ai/hypergraph/kaliningraph/automata/JFSA.kt b/src/jvmMain/kotlin/ai/hypergraph/kaliningraph/automata/JFSA.kt index ada60082..20dfa68a 100644 --- a/src/jvmMain/kotlin/ai/hypergraph/kaliningraph/automata/JFSA.kt +++ b/src/jvmMain/kotlin/ai/hypergraph/kaliningraph/automata/JFSA.kt @@ -65,10 +65,10 @@ fun PTree.toDFA(minimize: Boolean = false) = var j = 0 propagator( both = { a, b -> if (a == null) b else if (b == null) a - // Only periodically minimize the automata during construction - else if (i++ % 13 == 0) a.concatenate(b).min() else a.concatenate(b) }, + // Only periodically minimize the automata during construction + else if (i++ % 13 == 0) a.concatenate(b).min() else a.concatenate(b) }, either = { a, b -> if (a == null) b else if (b == null) a - else if (j++ % 13 == 0) a.union(b).min() else a.union(b) }, + else if (j++ % 13 == 0) a.union(b).min() else a.union(b) }, unit = { a -> if ("ε" in a.root) null else BAutomaton.makeChar(Random(a.root.hashCode()).nextInt().toChar()) diff --git a/src/jvmMain/kotlin/ai/hypergraph/kaliningraph/parsing/JVMBarHillel.kt b/src/jvmMain/kotlin/ai/hypergraph/kaliningraph/parsing/JVMBarHillel.kt index 753c0417..7b575267 100644 --- a/src/jvmMain/kotlin/ai/hypergraph/kaliningraph/parsing/JVMBarHillel.kt +++ b/src/jvmMain/kotlin/ai/hypergraph/kaliningraph/parsing/JVMBarHillel.kt @@ -177,7 +177,7 @@ fun CFG.jvmIntersectLevFSAP(fsa: FSA, // For every production A → σ in P, for every (p, σ, q) ∈ Q × Σ × Q // such that δ(p, σ) = q we have the production [p, A, q] → σ in P′. - val unitProds = unitProdRules(fsa) + val unitProds = unitProdRules(fsa).toSet() .onEach { (a, _) -> nts.add(a) } // For each production A → BC in P, for every p, q, r ∈ Q, @@ -244,6 +244,7 @@ fun CFG.jvmIntersectLevFSAP(fsa: FSA, .collect(Collectors.toSet()) .also { println("Eliminated ${totalProds - it.size} extra productions before normalization") } .jvmPostProcess(clock) + .expandNonterminalStubs(origCFG = this@jvmIntersectLevFSAP) // .jdvpNew() } @@ -255,6 +256,11 @@ fun CFG.jvmPostProcess(clock: TimeSource.Monotonic.ValueTimeMark) = .also { println("Normalization eliminated ${size - it.size} productions in ${clock.elapsedNow()}") } .freeze() +fun CFG.expandNonterminalStubs(origCFG: CFG) = flatMap { + if (it.RHS.size != 1 || !it.RHS.first().isNonterminalStub()) listOf(it) + else origCFG.bimap.NDEPS[it.RHS.first().drop(1).dropLast(1)]!!.map { t -> it.LHS to listOf(t) } +}.toSet().freeze().also { println("Expanded ${it.size - size} nonterminal stubs") } + tailrec fun CFG.jvmElimVarUnitProds( toVisit: Set<Σᐩ> = nonterminals, vars: Set<Σᐩ> = nonterminals,