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Hybrid Compositional Reasoning for Reactive Synthesis from Finite-Horizon Specifications

AAAI 2020 · Large language models › Reasoning and chain of thought · approach: Theory of autoregressive reasoning · 35 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Combine explicit-state minimization on smaller intermediate DFAs with symbolic-state composition after a size thresholdLTLf-to-DFA construction · 454 DFA-construction benchmarksbenchmarks solved: 338 -> 372Helped
Use hybrid rather than purely explicit-state compositionLTLf-to-DFA construction · 454 DFA-construction benchmarksbenchmarks solved: 307 -> 372Helped
Use hybrid DFA construction instead of the Mona-based conversionLTLf synthesis · Single counter, 10 bitstotal runtime (seconds): 40.4535 -> 9.31808Helped
Use hybrid DFA construction instead of the Mona-based conversionLTLf synthesis · Double counters, 7 bitstotal runtime (seconds): 1885.67 -> 80.9725Helped
Use hybrid DFA construction instead of the Mona-based conversionLTLf synthesis · Nim, 3 heaps and 4 tokens per heapbenchmarks solvedHelped
Replace hybrid composition with purely explicit-state composition (ablation)Lisa · 454 DFA-construction benchmarksbenchmarks solved: 372 -> 338Hurt
Replace hybrid composition with purely symbolic-state composition (ablation)Lisa · Realistic benchmarksbenchmarks solvedHurt
Minimize intermediate DFAs only while they are explicitLisa · LTLf-to-DFA conversionstate-space sizeHelped
Use dynamic smallest-first selection when composing DFAsLisa · Large-minimal-DFA benchmarksbenchmarks solvedHelped
Switch to symbolic representation as soon as explicit composition becomes prohibitiveLisa · Double-counter benchmarksstate-space sizeHelped
Use dynamic rather than static variable ordering (ablation)Syft · LTLf synthesisruntime: up to 75%Helped
Increase the number of counter bitsWinning-set computation · Single- and double-counter benchmarksfixed-point iterations: 2^i; 2^{i+1}-2Hurt

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