ECCC-Report TR24-033https://eccc.weizmann.ac.il/report/2024/033Comments and Revisions published for TR24-033en-usSat, 24 Feb 2024 19:30:43 +0200
Paper TR24-033
| Regular resolution effectively simulates resolution |
Sam Buss,
Emre Yolcu
https://eccc.weizmann.ac.il/report/2024/033Regular resolution is a refinement of the resolution proof system requiring that no variable be resolved on more than once along any path in the proof. It is known that there exist sequences of formulas that require exponential-size proofs in regular resolution while admitting polynomial-size proofs in resolution. Thus, with respect to the usual notion of simulation, regular resolution is separated from resolution. An alternative, and weaker, notion for comparing proof systems is that of an "effective simulation," which allows the translation of the formula along with the proof when moving between proof systems. We prove that regular resolution is equivalent to resolution under effective simulations. As a corollary, we recover in a black-box fashion a recent result on the hardness of automating regular resolution.Sat, 24 Feb 2024 19:30:43 +0200https://eccc.weizmann.ac.il/report/2024/033