Previously [4], Orbis Labs presented a method for compiling (“arithmetizing”) relations, expressed as Σ¹₁ formulas in the language of rings, into Halo 2 [1, 2, 3] arithmetic circuits. In this research, we extend this method to support polynomial quantifier bounds, in addition to constant quantifier bounds. This allows for more efficient usage of rows in the resulting circuit
We ask for feasibly constructive proofs of known circuit lower bounds for explicit functions on bit ...
We give upper and lower bounds on the power of subsystems of the Ideal Proof System (IPS), the algeb...
AbstractWe consider inclusion relations among a multitude of classical complexity classes and classe...
This paper proposes new Polynomial IOPs for arithmetic circuits. They rely on the monomial coefficie...
Arithmetic Circuits compute polynomial functions over their inputs via a sequence of arithmetic oper...
The classical (boolean) circuit model of computation is generalized via polynomial ring calculus, an...
25 pagesWe introduce a refinement of the usual Ehrenfeucht-Fra\"{\i}ss\'e game. The new game will he...
We present and study a framework in which one can present alternation-based lower bounds on proof le...
We present and study a framework in which one can present alternation-based lower bounds on proof le...
Abstract. By introducing a parallel extension rule that is aware of inde-pendence of the introduced ...
We define and investigate Frege systems for quantified Boolean formulas (QBF). For these new proof s...
A general and long-standing belief in the proof complexity community asserts that there is a close c...
It is well known that the Boolean functions corresponding to a function computable in polynomial tim...
We propose the first general technique for proving genuine lower bounds in expansion-based QBF proof...
AbstractWe propose a decision procedure for algebraically closed fields based on a quantifier elimin...
We ask for feasibly constructive proofs of known circuit lower bounds for explicit functions on bit ...
We give upper and lower bounds on the power of subsystems of the Ideal Proof System (IPS), the algeb...
AbstractWe consider inclusion relations among a multitude of classical complexity classes and classe...
This paper proposes new Polynomial IOPs for arithmetic circuits. They rely on the monomial coefficie...
Arithmetic Circuits compute polynomial functions over their inputs via a sequence of arithmetic oper...
The classical (boolean) circuit model of computation is generalized via polynomial ring calculus, an...
25 pagesWe introduce a refinement of the usual Ehrenfeucht-Fra\"{\i}ss\'e game. The new game will he...
We present and study a framework in which one can present alternation-based lower bounds on proof le...
We present and study a framework in which one can present alternation-based lower bounds on proof le...
Abstract. By introducing a parallel extension rule that is aware of inde-pendence of the introduced ...
We define and investigate Frege systems for quantified Boolean formulas (QBF). For these new proof s...
A general and long-standing belief in the proof complexity community asserts that there is a close c...
It is well known that the Boolean functions corresponding to a function computable in polynomial tim...
We propose the first general technique for proving genuine lower bounds in expansion-based QBF proof...
AbstractWe propose a decision procedure for algebraically closed fields based on a quantifier elimin...
We ask for feasibly constructive proofs of known circuit lower bounds for explicit functions on bit ...
We give upper and lower bounds on the power of subsystems of the Ideal Proof System (IPS), the algeb...
AbstractWe consider inclusion relations among a multitude of classical complexity classes and classe...